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13-08-07 (Mainstream Fractal [7])
by Jim Muth 12 Aug '07

12 Aug '07

FOTD -- August 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image uses a bit of fractal trickery to make its point. Instead of the usual blank black inside and outside equal- iteration bands, the image was rendered with the inside set to 'bof61' and the outside set to 'real'. The generating formula subtracts 250 parts of Z^(-0.9) from 250 parts of Z^(-1.1) and adds straight C to create a parent fractal that resembles the Mandelbrot set fairly closely, but has sausage-shaped holes at the end of its filaments. The greatest surprise is the empty triangle that appears where East Valley would normally be found. Today's image is located on the outside the of southern shore line of this triangle. I rated the image at a 7 rather reluctantly. The colors are a bit too busy for maximum effect. The name "Mainstream Fractal" has ho connection at all to the image. It's simply the first thing I could think of. The image is a rather slow one, with a calculation time of over 18 minutes on the fireball P4-2000, and well over one hour on the old P200 machine. But calculation will be no issue for those who view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday was spoiled here at Fractal Central when the temperature reached a high of 90F 32C. But if the humidity had been higher, it would have been worse. The fractal cats must have agreed, for they seemed totally satisfied with their life of perpetual indoor confinement. My day was spent recovering from Saturday's outing. The next in the near endless series of FOTD fractal images will appear in 24 hours. Until then, take care, and step lightly. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mainstream_Fractal { ; time=0:18:18.07-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+21.44692078468248/-0.000630261989078/\ 1.042898e+009/1/-80/0.0150935738509659703 params=250/-1.1/-250/-0.9/0/0/0/0 float=y maxiter=12000 inside=bof61 outside=real logmap=1274 periodicity=10 mathtolerance=0.05/1 colors=000000WALW9LV8LV7Ld_mcZmaYm`Ym_XmYWmXVmWUmU\ TmTSmSRmQQmPPmOOmMNmLMmKLmJLmXebK1gI2hH2hG2hE2hD2h\ C2hB2h93h83h73h53h43h33h23h65gA7fE9fIBeMDePFdTHcXJ\ c`LbdNbhPakQahUceXdc`e`cfZfgWjhTmiRqjOtkMwlQvkTukW\ tkZskarkdqkgpjjojmnjpmjsljvkjykjxlhxlfxmexmcxnbxn`\ wo_woYwpXwpVwpTwqSwqQvrPvrNvsMvsKvtJvtHvtGusFtrEsq\ EzjzroDqnCpmBomBolAnkAmj9li8kh8kg7jg7if6he5hd5gc4f\ b4ea3ea3b_4_Y5XW6UU7RS8OQ9LOAIMBFKCCID9GE6EF3CG0BH\ 1EK2HM2KP3MR3PT4SW5UY5X`6_b6ad7`c7_c7_c7Zc7hc7tc7S\ c7Cc8Wc8Wc8Vc8Uc8Ub8Tb8Tb8Sb9Rb9Rb9Qb9Qb9Pb9Ob9Ob9\ Nb9NbFK`LIZQGXWDV`BTf9Rk7PjCLjGIiKEiPBhT7hX4h`1iZ3\ zm5jX6jW8kV9z`BlTCzSEzRFzQHzPInOKoNLoMNpLOpKQqJRqI\ TrHUrG0sFXsEAtD_tCKuBbuAUv9ev8cv7hu8mt9ftAusAdrBzr\ CbqDzqDapEzoF_oFznGYmHvmIWlIrlJVkKmjLTjLhiMRhNchNQ\ gOZgPOfQUeQMeRPdSKdSKcRLcQLbPLbOLaNLaMLaLL`KL`JL_J\ L_IL_HLZGLZFLYELYDLXCLXBL } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 12-08-07 (Straight Forward [9])
by Jim Muth 12 Aug '07

12 Aug '07

FOTD -- August 12, 2007 (Rating 9) Fractal visionaries and enthusiasts: It's nice to escape the endless spirals that fill so many fractals. In today's image we escape them with a vengeance. There are no spirals in today's image. In fact there are no curved elements at all. Some of the elements do have jagged edges, but the overall shapes radiate from the central midget straight as an arrow. In recognition of all this straightness, I named today's image "Straight Forward". While I was coloring the image, I had an attack of serendipity. The colors flashed onto the screen ready-to-go, complete with the bright white band. I needed to tweak only about 10 color registers to create today's outstandingly moody color palette. The colors are what raises the rating to a superior 9. And it is an honest 9, not a typing error like the 9 I typed by mistake three days ago, when the image actually rated only a 6. In today's formula I subtracted 20 parts of Z^(1.01) from 20 parts of Z^(0.99) and added C. The 20 parts are necessary because the actual difference between the two exponents is so small that nothing but a blank screen is produced unless the difference is magnified. And even with the difference magnified 20 times, the parent fractal is grossly oversized, making the excessive escape radius of 1000 still necessary. The parent fractal is another Mandeloid rotated 180 degrees, similar to the parent fractals of the past several fractal images. Today's scene is located at the extreme western edge of the chaos, very close to the X-axis. The mathtolerance entry is necessary to assure that the image generates from the parameter file at the correct magnitude. I was sorely tempted to position the midget away from the center of the frame, somewhere near one of the upper 1/3-1/3 points, which would have added additional tension to the scene. If the purpose of the image were artistic, I would have done so, but the FOTD images are for mathematical interest rather than an ex- hibition of art, so I kept the midget centered and in the normal orientation. There is no rule stating that midgets must always be centered however. I might start adding tension to future images by eliminating the all-too-common symmetry around the center of the frame. At just over 1 minute, the calculation time of today's image is quite short. And considering the rating of a 9, it is quite a bargain. It's also a bargain to see the image already rendered on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was perfect here at Fractal Central on Saturday, a day that would make any outdoor activity a pleasure. The fractal cats' day was near perfect; the FOTD fractal is near perfect, and the commercial work is totally under control. I don't want to tempt fate by saying that everything was totally perfect all day, but it came close. The next FOTD will appear on schedule in 24 hours. Until then, take care, and keep alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Straight_Forward { ; time=0:01:15.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-10.61536422079259/+0.00000051589073515\ /6.265924e+011/1/-45.877/-0.0058784538 params=20/\ 0.99/-20/1.01/0/1000/0/0 float=y maxiter=15000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000zsCvqFrpIooLknOhmRdlUajXYi_VhbRgeOfhKekH\ dnTwrWvqYup_uoatndsmfslhrkjrjilhhffgadfWbeR`dLZcGX\ bAVb5TLPR9uEDsGGqHJoJMmKQkMTiNWgPZeQbcSeaTh_VkZWm`\ Ynb_odapecqgerigtjiulkvnmwooxqqysszttruujuucvvWvvP\ wwHwwAwwCouEhtFasHUrJNqKGpJEqHDrGCscMmzVgsRb201mOZ\ gLU`IQVFMPCHI9DC68634HaNG_LFYKEWJDVIDTHCRGBPFAOEAM\ D9KC8JB7HA6F96D85C74A6385364253132011N7bL6_K6YJ5WI\ 5UG5SF4QE4OD4MC3KA3I92G82E72C61A4183162041029Gb8F`\ 8EZ7DX7CV6CT6BR5AP59N48L48J47H36F35D24B24913712501\ 3001RMgLHZGDQA8H548WZqPSfJLWCEL67AswzLPjMNiNLhOJgP\ HfQFeQDdNEbKEaHE_EEZBFX8FW5FU3FT7IVALXEOYHR_KUaOXb\ R_dUbfYeg`hicjj`ggYddWbaT_ZQXWOVTLSQIPNGNKDKHAHE8F\ B5C82950734D58J6BP7FV9I_AMeBPkDTqEWvFzw0zw0zw0zw0z\ w0zx0zx0VxcVxcVxcVxcVycVydVyfVyzVyzVzzVzzVzzVzzVzz\ VzzUzzUzzUzzUzzUmkTkiTigTfdTdbTa`T_ZSYXSVVSTTSQQSO\ ORMMRJKRHIREGRCERACPBEOCF } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 11-08-07 (Optical Collusion [7])
by Jim Muth 10 Aug '07

10 Aug '07

FOTD -- August 11, 2007 (Rating 7) Fractal visionaries and enthusiasts: As I hinted in yesterday's discussion, I have returned to yes- terday's parent fractal for another investigation. Yesterday we examined the angular chaos on the southwestern edge of the debris field surrounding main bay of the Mandeloid. We came up with a superior 9-rated image. Today we examine a chaotic spiral in the northern edge of the field and find an image that rates a solid 7. In today's image I re-used the color palette from yesterday's image, making only a few changes. The colors do not work quite as well in today's image, but they still work well enough to bring the image up to FOTD standards. I named the image "Optical Collusion". No, there is no evil dark cabal secretly plotting to take over the world; it's simply a matter of word play. When I stare at the image, the rings of greyish colors surrounding the midget appear to be spirals, even though I know the colors are actually arranged in circles. It's all an optical illusion caused by the inward spiralling fractal elements. The calculation time of the included paramemer file is a speedy 1-2/3 minutes on the fireball P4-2000mhz unit. Even on the slow P1-200mhz machine, the image will finish in under 10 minutes. But calculation can be boring, so for convenience the image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Plentiful sunshine, lower humidity, azure blue skies, puffy cumulus clouds, a fresh breeze and a temperature of 82F 28C made Friday quite pleasant here at Fractal Central. The iterative cats must have agreed. They spent an inordinate amount of time gazing through the large front window at the television show constantly passing by outside. Unfortunately, it looks like their escape radius will be permanently limited to inside. I spent my day trying to wrap up the work, hoping F.L. and I can manage another pleasant day in the great Pennsylvania outdoors on Saturday. The next FOTD will likely appear in 24 hours. If not, expect it in 48 hours. Until next time, take care, and fractal programs may come and go, but fractals are eternal. (However I sometimes wonder whether fractals are actually mental constructs, which cease to exist when no one is actively thinking of them.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Optical_Collusion { ; time=0:01:41.77-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.20376183193965930/+4.811244508790960\ 00/3.349452e+008/1/140/0.000846907268196465945 params=12/0.98/-12/1.02/0/1000/0/0 float=y maxiter=2500 inside=0 logmap=192 periodicity=10 colors=000NIYQLZTO_WR`ZUaaXce`gidkmhoqmstpvrntmjog\ eja`eWXaQSXKNSEIN8EJLIIYMHmUGzbGsUKfNNUGQKBTB7c23m\ J9rZGznMzdazhgrllwiizgawdUmbRc_OcYLhWJmTGmREmOCmMA\ mJ8mH6mF4hI9cLDcOIcROcTTdWYgZcjahmdmpfrshpzimzjjrk\ grleqmbzn_qpXqqUqrTpsRztPpuNpvMprIqoFrkBsh8sdVS`OU\ XLWTLYOG_PGaQGcRGeWGfWNa`UYj_TjfPjlKjsGjyCbzFVnINd\ LFROGSPGTPGUPGVPGVPGWPGXPGYPGZPGZPJ_RM`TO`URaWTaXW\ bZYc`ccahdcmddrefvfhzfizgkzglzjizlfzndzpazz_zzWzzT\ zzQzlNzkKziHzeEzYBzR8zJ5zP2zV8zWDzaIzeNzhSziXzjazk\ fzlkzmpzmuzlvzlvzmvzmwvnwrnwioxhoxfpxdpybqy`qyZrzX\ rzVszUszXtmzt`zuPzuMzvJzvGzwDzwBzx8zx5zy2zy0zz4zz7\ zzAzzDzzGzzJzzMzzPzzSzzVzzWzzWzzWzzWzzWzzWzzWzzWzz\ VzzVzzVvzUrzUmzUhzTczTZzTUzSPzSOzSRzQTzPVzNXzMZzK`\ zJczIezGgzFizDkzCmzBnzCnzDnzEnzFozGozHozHozIpzJpzK\ pzLpzMpzMnzOlzPjzQhzSfzTezUczWazX_zYYz_Xz`VzaTzcRz\ dPzeOzfWzeczdczdczcczcczc } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 10-08-07 (Infinite Zigging [9])
by Jim Muth 10 Aug '07

10 Aug '07

FOTD -- August 10, 2007 (Rating 9) Fractal visionaries and enthusiasts: Today's image completes what yesterday's image tried to do. It comes from a parent fractal that closely resembles yesterday's parent. Today's parent is much smaller however, and has much more chaotic detail surrounding the main bay. The scene of today's image is at the very western edge of the detail on the southwestern side of the main bay. And yes, the slight bit of stretching in the horizontal direction is intentional. It gives the image a better overall composition. The parent fractal was generated when I subtracted 12 parts of Z^(1.02) from 12 parts of Z^(0.98) and added C. At first glance this parent appears to have even more potential than yester- day's. It has so much potential in fact that I might spend a few more days exploring it. I rated today's image at a very superior 9 I am quite satisfied with the neutral color palette, which really brings out the zig- zagging features in the foreground. The name "Infinite Zigging" came about when I pondered the fact that one could dive into the image forever without coming to the end. How could you come to an end when there is no end? Of course, the apparent infinity is actually only a half-infinity, for the image is without limit in only one direction. An extra bonus is the fireball calculation time of just under 28 seconds. Even on the worn-out old P200 machine, the image would finish in under 3 minutes. But why bother with calculation when the completed image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed and enjoyed at leisure. A sunny morning here at Fractal Central on Thursday gave way to a cloudy afternoon, but the rain did not begin until night. The clouds held the temperature to 84F 29C, though the high humidity still made it feel oppressive. The fractal cats had an uneventful day of sleeping and sitting in the window, watching the television show beyond. Except for the better-than-expected FOTD, my day was uneventful also. The next in the apparently endless series of FOTD's will appear in 24 hours. Until then take care, and no one is more surprised than me at how long the FOTD has continued. When I started it on the Fractal Art list in 1997, I intended to keep it going only a week or two. It has now become almost a vocation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Infinite_Zigging { ; time=0:00:27.90-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-5.79334912003784/-1.199475920319244/\ 8893.701/1.0776/15/6.33650498044202592e-009 params=12/0.98/-12/1.02/0/1000/0/0 float=y maxiter=1000 inside=0 logmap=39 periodicity=10 colors=000UP_YTaaXce`gidkmhoqmstpvrntmjogeja`eWXaQ\ SXKNSEIN8EJLIIYMHmUGzbGsUKfNNUGQKBTB7c23mJ9rZFznKz\ dZzhcrlgwidzgYwdRmbPc_NcYLhWJmTGmREmOCmMAmJ8mH6mF4\ hI9cLDcOHcRMcTQdWUgZZzabmdfpfjshhzifzjdrkbrlaqm_zn\ YqpWqqUqrTpsRztPpuNpvMprIqoFrkBsh8sdVSeVUfVWgVYgV_\ hVaiVcjVejVfjXajZYj_TjaPjbKjdGjeCbaFVYINULFROGSPGT\ PGUPGVPGVPGWPGXPGYPGZPGZPJ_RM`TO`URaWTaXWbZYc`ccah\ dcmddrefvfhzfizgkzglzjizlfzndzpazr_zpWzoTzmQzlNzkK\ ziHzhEzgBze8zd5zc2zd8zeDzfIzgNzhSziXzjazkfzlkzmpzm\ uzlvzlvzmvzmwvnwrnwioxhoxfpxdpybqy`qyZrzXrzVszUszX\ tmzt`zuPzuMzvJzvGzwDzwBzx8zx5zy2zy0zz4zz7zzAzzDzzG\ zzJzzMzzPzzSzzVzzWzzWzzWzzWzzWzzWzzWzzWzzVzzVzzVvz\ UrzUmzUhzTczTZzTUzSPzSOzSRzQTzPVzNXzMZzK`zJczIezGg\ zFizDkzCmzBnzCnzDnzEnzFozGozHozHozIpzJpzKpzLpzMpzM\ nzOlzPjzQhzSfzTezUczWazX_zYYz_Xz`VzaTzcRzdPzeOzfWz\ eczdjzdrzcyzcizSVzGMz`HzW } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 09-08-07 (Inedible Goodies [9])
by Jim Muth 09 Aug '07

09 Aug '07

FOTD -- August 09, 2007 (Rating 6) Fractal visionaries and enthusiasts: The generating formula of today's image subtracts 12 parts of Z^(1.11) from 12 parts of Z^(1.1) then adds straight C. The parent fractal generated by this formula is rather difficult to find. The default screen is totally black. A single outzoom reveals a circular black hole in a blue background. Only when the bailout radius is increased to a very large value, such as today's 100000000, and another outzoom is done, does the com- plete parent come into view. When this parent fractal is finally found, it roughly resembles the Mandeloid produced by the formula (-Z)^(1.1)+C, when it has been rotated 180 degrees. This parent has X-axis symmetry, which is interesting, but the most unusual thing about it is an obvious midget deep in the chaos on the northwest (and south- west) shores of the main bay. This midget is quite unusual. At first glance it appears to be non-critical, but a closer examination shows that it contains critically perfect sub-midgets. Today's scene is located deep in what appears to be an East Valley of the strange midget. I named the image "Inedible Goodies". Fractals might be 'good', but they are definitely inedible. I rated it at a 6. There is something about the coloring that leaves me unsatisfied. The calculation time of 5-3/4 minutes is fast enough to prevent boredom. The image may also be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A heavy thunder storm Tuesday night did not leave things any cooler here at Fractal Central on Wednesday morning. The day's high temperature of 95F 35C made outdoor life unpleasant for both man and cat. And speaking of cats, the fractal ones kept themselves cool under the air conditioner. Nicholas took a few nibbles at the tray of fresh green cat-grass, then returned to stretch out in the cool draft. My day was acceptable. The day's fractal could have been a little better, but you can't have everything. The next FOTD is scheduled in 24 hours. Until then, take care, and don't get fractal indigestion. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inedible_Goodies { ; time=0:05:46.80-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-128.183733496438/+84.57447940128591/\ 927423.9/1/100/6.34389398990811704e-005 params=12/1.1/-12/1.11/0/100000000/0/0 float=y maxiter=6000 inside=0 logmap=659 periodicity=10 colors=0000Pe0Qe0Rf0Sf0Tg0Uf0Vg0Wg0Xh0Yi0Zk0_h0`i0\ ck0fm0hk0lj0pj0rh0oe0l_0gU0aN0XG0TB0Q40N00L00J00G0\ 0F00B20722422022422722B22F22G22I2BKBKKKSLS_P__Sg_V\ ngYvn`zvdzygzwjztnzrqzqtzkwzezz_zzUzzUzzUzzUzzUzzU\ zzUzzUzzUzzUzzQzzYzzeyzmyzpwvrwqtwmwwhzwdzw_zwVzwQ\ zwNzwLzwNzyKzyIzzGvzFqzDmzBjz9ez7`z5Wz4Sz2Nz0Iz0Fz\ 09z04z00z00z00z00z00z0BzDNzPYz_hwjrvtztzzqzynzvkzt\ hzqezpbzm_zkWzhUzgQzePzbLz`IzYFzWBzU7zS4yP0yN0yK0y\ I0yG0yN0vS0tY0qb0ph0mm0kq0jw0gz0ez0bz0`z0_z4SzDKtN\ BmV2db0fc0gb2ga5ia9j`Dj`GjbKmbNmbQocUpcWpc_pebrLeh\ IWpR4pPgp`gp`ep_ep`enjh_rkLzn5zqKzrUzrbzrkzrvzrzzr\ zzrzn_zzpKzKzzkzzhzzgzzdzzbzy_zyWzyVzySzyQzyNyyL__\ IvwFtwDrw9qw7__4nw2pt0qr0rp0tn0W_07LDIQNQVV__bgdjp\ hqwmyzqzzpwztnzygzzYzzPzzGzz5zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0yz0tz0pz0kz2DzG5zF0zF } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Formula initialization
by David M Fisher 08 Aug '07

08 Aug '07

I was mousing around the DOS fractint formula screen and found an interesting listing which appears to have an error. I don't know enough to be sure but here is what I have noticed: Formulas <chip>, <hopalong>, <quadruptwo>, & <threeply> are all never init'ed. The information page (F2 with the formula highlighted) states setting z(0)=y(0)=0: with a colon at the end of the line for initialization. All of the above formulas on the <z screen> show a semi-colon at the end of the line. Does this make a difference? Since I run DOS I don't have all the fancy cut and paste stuff to rewrite and test so I haven't done that yet to find out if there is a difference. Just noticed it when playing around, and thought I'd ask the programers. Thanks for your time. David M Fisher

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FOTD 08-08-07 (Final Parent Image [8])
by Jim Muth 08 Aug '07

08 Aug '07

FOTD -- August 08, 2007 (Rating 8) Fractal visionaries and enthusiasts: I named today's image "Final Parent Image". This name is not exactly correct however, for the parent fractal of today's image is not the same one that appeared as the FOTD of July 31, 2007, and which I have been using for a week as the source of the FOTD images. To create today's parent I changed the Z^(-1.05) of the old parent to Z^(-1.04). This tiny change makes a huge difference in the appearance of the resulting parent fractal. The overall characteristics, such as the Mandeloid with no East Valley, and the multitude of terminating rings, remain pretty much the same, but the size grows to grotesque proportions. Today's image is located very near the western extremity of this humongous parent. The image has kind of a pop-art effect, with contrasting areas of nearly flat color filling the screen. If the image is rendered with the outside set to 'tdis', a more traditional effect will result, which is a bit too busy for my taste. Evapo- rating the image works only with the 'bof61' inside fill, when it merely reproduces the pop-art effect. After not-too-careful consideration, I decided to rate the image at an 8. It might not be worth every bit of this rating, but I rather like the posterized effect, so in my opinion the rating is justified. The calculation time of 5-1/2 minutes is little enough price to pay for the pleasure of watching the image come to life. This pleasure may be bypassed however by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the parameter file has already been calculated and the image posted for immediate viewing. Tuesday was quite warm and very humid here at Fractal Central, with a high temperature of 90F 32C, but clouds and a breeze kept things from becoming stifling. The light rain that arrived in the evening made the night even more humid. The F.C. cats spent most of the day sleeping, while I spent most all day on a small but complicated job. The next FOTD is due in 24 hours. Whether it actually appears is still only a likely probability. Until next time, take care, seek mysteries, then try to solve them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Final_Parent_Image { ; time=0:05:30.21-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-481.3005884818092/+241.4385525952534/\ 7.83732e+007/1/140/0 params=2.5/-1.04/0.35/-5.05/0\ /0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000ZXY_XV`YTaYQbYPc_Md_Le_Jg`Gi`Fk`CmaApa7s\ c6xc4xc1za0zd0z_0zf0zY0zf0zX0za0zV0zY0yT1vV3uS4rQ7\ oO9lOCgJDfJG_GIaGJTDYXCOPAcQ7SO6fL4XJ3lM6_O7lPAaSC\ mTFdVGuYJv_Lz`OzcMzdSzfSziXzjXzl`zo`zpdzrdzuizvizx\ mzzmzzrzzrzzvzzvzzzzzxzzzzzzzzzzzxyzsrzplzlfyg_xdT\ u`MrXGpTArXCrYCr_Dr`DraFrcFrfGrgGriIrjIrlJpmJmoLjo\ LgoMdmOamP_mQXlSTlTQlVOlXLjYIj_Fj`Cia9ic6id7dc9dc9\ _cAaaAVaC_aCQ`DX`FL`FT_GK_GQ_IIYIOYJHYLLXLGXMIXMFV\ OFVODVPCTQATQ9TS7SS6ST4ST3SV4QV4PV6OV6MV6LV7JV7IX9\ GX9FX9DXACXAAXC9XC7XC6aDAfDFlDIpDMuDPvDQvCSxCTyAVy\ AXz9Yz9_z9_zCYzDYzGYzIXyJXyLXyMXyOVyPVxQVxTVxXTx_T\ vaTudTsgSrjSpmSooSmoQlpQjpQipQgrPfrOdrMcoLcrJ`iIXm\ GPdFIdDA`C3XA1YC1YC1YD1YD0YF0YF0YG0YG0_I0`I0aJ0cJ0\ dL0fL0gM0iM0jO0lO7mPFoPMpQTrQ`sSguSovTvxTzyVzzVzzX\ zzXzzYzzYzz_zz_zzazz`zz_zzazzOzzczzIzz9zzAzzAzzXvv\ XrtXmmYukYccYiaZUUZP`_KK_ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 07-08-07 (Gilded Iterations [8])
by Jim Muth 07 Aug '07

07 Aug '07

FOTD -- August 07, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today, we return for the next-to-last time to the parent fractal of July 31. We check the area around the edge of one of the fields of chaos extending from one of the buds of the Mandeloid. I was quite satisfied when I saw the results of the day's fractal efforts, so I rated the image at an 8. The name "Gilded Iterations" sounds poetic, but doesn't really fit the image. If I had not had an attack of laziness, I would have written more about the image, which really is quite enjoyable. As it is, the image will have to speak for itself. And what better place to hear a fractal speaking than at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted for instant enjoyment. Those who decide to calculate the image themselves will be in for a wait of 4-1/3 minutes if they have a P2000 processor. This time will be stretched to near 25 minutes on a tired old P200 machine, and several hours on an antique 80486-100mhz unit. Monday here at Fractal Central was one of those days when a person could drown in the atmosphere. The temperature of 88F 31C was not too bad, but the humidity was horrendous. The fractal cats endured the conditions stretched to their full cat lengths on the carpet. Meanwhile, I had a relatively slow and lazy day. The next FOTD is due in 24 hours. I'll give a 98-percent chance that it will appear on schedule. Until that glorious moment, take care, and fractals should speak softly but carry a big magnitude. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Gilded_Iterations { ; time=0:04:19.19-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+82.34550699452583/+165.3061481687892/\ 4.516205e+007/1/-100/5.29859569796398144e-005 params=2.5/-1.05/0.35/-5.05/0/0/0/0 float=y maxiter=2500 inside=0 logmap=410 periodicity=10 colors=000jKajKajJajIajIajHajHajGajGajFajEajDajDaj\ CbjBcjBdjAdj9dj9djA_kA_jBZjBZjCYiCYiDXjDXjEWkEXlFX\ lFXmGXnGXnHXoHXnIXmNXlJXkQXjMZjT_hQ`hWagUbgZcgYdea\ ecafaegZfiXhjVjkTllRnmPonNroLuqJvsHwvFzvGxvHvvIuvJ\ svKsvLsvMsvNrvOpvPovQmvRkvSjvThvUgvVevVbvV`vVYrWVn\ WTdWR`WQRXOGXMGXLDYJC_HAaG8bE6dD5eE4fE3fE3fE2eE2eE\ 1gF0cE1`D5ZC9VBDSAHP9LM8KM6JL7GL8DM98L80M90NA0OB0P\ C0PD0QE0RF0SF0TG0YH0ZI0dJ0eK0jL0kM0lM0mN0nO0nP0oQ0\ pR0qS0qS0pR1pR1pQ2pQ2pP3pP3oO4`O4`N5`N5`M6`M6aP7bR\ 7bT8cV8cX8dZ9dP9eR9e`Af_AgiAgkBhmBhpBprCwtCwvCwxDw\ zDkzDlyFmvGntHoqJpnKqlLqiMrfOsdPtaQuZSvXTwUUwSVlQR\ bONTNJILF8JB0I73L87N9BQAGSBKUCOXCSZDX`E`cFdeGggChh\ GhiJhjMhkPhlThmWhnZhoajpeoqhsrkwspwtnwulwvjwwhwxfw\ yewzcwzawz_wzYwzWwzVwzTwzRwzPwzNwzOwzPwzQwzQwzQwzQ\ wzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwzQwz\ QwzQwzQwzQwzQwzQwzQwzQwzQ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-08-07 (Octopus Cloister [7])
by Jim Muth 06 Aug '07

06 Aug '07

FOTD -- August 06, 2007 (Rating 7) Fractal visionaries and enthusiasts: With today's image we remain in the parent fractal that appeared as the FOTD for July 31. This fractal appears to have unlimited goodies concealed in it. Today's image is located in one of the valleys of the strange bud that appears where East Valley should be. I named the image "Octopus Cloister". I have no idea why I chose such an unlikely name, when something like "Spots Before the Eyes" would have been more appropriate. I must have been thinking of an old Beatles' song (Octopus Garden) when I noticed the eight octopus-like tentacles. As the imag(p3) parameter of 100,000 shows, the image is another partly evaporated one. The blossoming inside parts have been made more interesting by rendering the image with the inside set to 'atan'. The overall color effect is unusual enough to earn a rating of a 7. The calculation time of 6 minutes would stretch to 1/2 hour on the old P200 machine. But by far the best way to see the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. Sunday turned out to be cooler here at Fractal Central, when the temperature reached only 84F 29C. The morning was brilliantly sunny, but clouds moved in during the afternoon and light rain sprinkles began at 6pm. Heavier rain is forecast but as of this writing, (10pm Sunday), it has not arrived. Both the fractal cats and the fractal people took it easy most all day Sunday, recovering from the exertion of Saturday. One of the best ways I know to recover from exertion is to explore the world of fractals. Today's image shows the result. The next FOTD is due in 24 hours. Odds are that it will make it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Octopus_Cloister { ; time=0:06:09.87-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.6266466029414582/-3.1542731893637/\ 6645462/1/76/6.14133409077011194e-006 params=2.5/-1.05/0.35/-5.05/0/100000/0/0 float=y maxiter=3600 inside=atan periodicity=10 colors=000miUzjUzkTzmTzzTzpTzqSzrSltSkkSklRkzmzzmk\ zmezm`jOWzMRdLMaJmzzCWHBXIBXIBXJBXJAXKAXKAXLAXLAYM\ 9ZM9_N9`N9aO9bO8cP8dP8eQAfQFgRKhRPiSUjSZkTclThmUmn\ UroVvpVzqWzrWzsXztXzuYzvYzwZzxZzy_zz_zz`zz`zzazzGz\ zHzzHzzWzzizzgzzfCUdEUcGUaIV`KVZLVYNWXPWVRXUTXSVXR\ XYPYYO_YNaZLzzzeZIg_Hi_Fk`En`Dn`Bq_Ara8uY7vb5wX4yb\ 3uW5u_6sV8qX9oUBmVClTDjSFhQGfQIcNJbNLYLM_LNUJXWIQR\ H`SFTQEbODWNCfPEYQFfRH_TIgUKaVLlXNmYOrZQz`PzaTzbTz\ dWzeWzfZzhZziazjazlazmdznfzpgzvpzrjzzmzumzzpzxnzok\ zwpzxqsvnotkjsifqfbocYnaUlZPjWLiUHjWIjXIjYJjZJj_Kj\ `KjbLjcLjdMjeMjfNjgNjhOkjOkkPklPkmQknQkoRkpRkrSksS\ ktTkuTkvUkwUkxUEdaFb`Ga`G``H__HZ_IY_IXZJWZKVZKUYLT\ YLSYMRXMQXNPXOOWONWPMWPLVQKVQJVRIUSHUSGUTFTTETUDTU\ CTVDSVDRVEQVEPVEOVFNVFMWGLWGKWGJWHIWHHWIGWIFWIE000\ dJKhJMlJPpJ0rJ0rI0rI0tH0tH0zG0zG0zG0zN0zO0zU0zZ0zZ\ 0zU0zP0zP0zP0zK0zK0zK0zK0 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 05-08-07 (Point of Evaporation [7])
by Jim Muth 05 Aug '07

05 Aug '07

FOTD -- August 05, 2007 (Rating 7) Fractal visionaries and enthusiasts: Once again we stay in the parent fractal of July 31, and return to the spurious bud where an East Valley of the Mandeloid should be. Today's image is half evaporated, which is why I named it "Point of Evaporation". When the bailout radius is raised, the outside parts of images made with two negative exponents of Z will eventually start to break up, the pieces will shrink, and finally vanish entirely. Sometimes the evaporation takes the form of a boundary, which spreads through the entire fractal as the bailout is raised, gradually erasing the outside parts until the entire fractal is gone. At the scene of today's image, both forms of evaporation are taking place. The image in a sense has been 'photographed' at the moment the evaporation boundary, which is expanding from the top down, has come to intersect the nearly invisible midget at the center. The top half of the image has reached an advanced stage of evaporation, and consists of rapidly shrinking bits and pieces of outside stuff. In the bottom half, the outside stuff is still pretty much intact, though the equal-iteration bands have radically changed shape. Curiously, if the inside fill is changed from 'atan' to 'bof61', the split across the middle of the image will totally vanish, and the top half of the image will perfectly match the bottom half. After some study, I decided to rate today's image at a 7. Most of the rating is due to the mathematical interest. The artistic part could use more work. The calculation time of just over one minute must come as a pleasant surprise for such a complicated image. Another pleasant surprise waits on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted for viewing. Unusual heat once again made Fractal Central uncomfortable on Saturday, when the afternoon temperature reached 95F 35C. The humidity was lower than on recent days, but with such a temperature, it makes little difference. The fractal cats endured the conditions stoically. My day away from F.C. was a pleasant break. The next FOTD is due in 24 hours. Until then, take care, and don't evaporate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PointOfEvaporation { ; time=0:01:05.49-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+10.81180770259383/-26.8059176268024/\ 483.2803/1/-22/8.22240886488856404e-011 params=2.5/-1.05/0.35/-5.05/0/69797600000000.0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000lZ_nVTnONpIFsDAs73v30x00x00z00z00z00p00g\ 00_50RB0JK0BS05Z00h00j00000000h32f85`B8ZHBVNP0VN0L\ J0DH05D00000A00R5HjjxH03L08N0DR0HT0NY0T_0Yc1ce3gj7\ nl9vpBzsDzxFzzIzzKzzMzxKzpIzjFzcDzYBvR9nL7gD5a83V3\ 1P00J00D0080050030330720D20003M06S0AX0e90UUULj0Pj0\ Fj58fD2ZP0V_0Qj0Kx0Fo0Bz51il0zU0qx0zb0zz0xl1pc3io3\ cz5Yj7Rz9NzBHzBBpD8zF3zI0zK0zK0zc0zO0zj0zS0zj0zj0v\ Z5lMAc9FV0LN0VF0Y80hA0aD0PD0aN0XF0U_0cJ0cl0eN0eW0Z\ P0eg0gT0gZ0`V0gW0U_0ja0ja0jYj0_j0aj0aj0cj0cc0eV0eO\ 0gI0jB0j50l00l00n50nA0pF0pK0sP2sU3vZ3vc5vZ6xU6xP8x\ NAzOAzNBzNDzPDzTFzXHz`HzfJzjLzjLzjNzjNzjPzjRzjTxjT\ vjVsjYpjYnj_ljajjcgjcgjeejgcjgajj_jlYjnVjnTjpRjsPj\ sNjvLjxDjvLjxRjzYjzcfzj`zpXzxSzzMzzIzzDzz9zzBzzDzz\ FszInzKgzMczOYzQTzSNzVJzXFzZAz`6zc2zf0zh0zj0zj0zj0\ zj0e030QN0SR2VT5XY6Z_A`aBceDfgHhjJjnNjpPjsRjxVjzYj\ zajzcjzcjzejzgjzgjvjjnlfg } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 04-08-07 (Scatterbrained [6])
by Jim Muth 04 Aug '07

04 Aug '07

FOTD -- August 04, 2007 (Rating 6) Fractal visionaries and enthusiasts: We're still exploring the parent fractal that first appeared four days ago, and we are nowhere near finished with it. There are still many areas we have not even scratched the surface of. Today we examine a kind of bud on the southeast shore line of the strange bay that appears where east valley of the parent Mandeloid would be expected. This area is a mixture of inside and outside stuff. To increase the chaos, I raised the bailout radius to the point where the outside parts of the image are just starting to break up. Then I rendered the image with the outside set to 'atan'. I also added to the chaos by setting the inside to 'fmod'. Perhaps I went too far, for after careful consideration, I could rate the image no higher than a 6, which is a bit above average but not quite up to FOTD standards. I named the image "Scatterbrained" in recognition of its excess intricacy. There can be no complaints about the calculation time however. The 4-1/2 minutes which will be taken out of the day will never be noticed. And as always, those who prefer their days with no time removed may view the image in completed form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> More heat made for another unpleasant day here at New Fractal Central on Friday. The temperature of 97F 36C was too hot by almost any standard, and the humidity was high also, which only added to the mugginess. The fractal cats spent the day chasing each other up and down the hallway, only occasionally glancing out the window at the hazy sunshine. I had an average day, on which nothing out of the ordinary hap- pened. If all goes well, tomorrow will be the same. The next FOTD is due to appear in 24 hours, but if Fractal Lady and I decide to go out, it could be delayed 12 hours or so. Until next time, take care, and defend your world view with reason and logic. And if the world is non-logical, good luck. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Scatterbrained { ; time=0:04:28.86-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+22.05042582374355/-14.03433824355221/\ 2305926/1/72.5/-8.24223821277447755e-008 params=2.5/-1.05/0.35/-5.05/0/25350000000000.0/0/0 float=y maxiter=3600 inside=fmod proximity=1.3 outside=atan periodicity=10 colors=0009qmDqlHpjLpiPpgTofWod_occnagn`knZomYsmWw\ oUvnVvmVvlVulVukVujVujVtiWthWthWtgWsfWsfWseWrdXrdX\ rcXrbXqbXqaXq`Xq`Xq`Xq_Yq_Zq_Zq__q_`q_`q_aq_bqYbqW\ cqUdqSdqQcrOcrMbrKbsIasGasE`sC`tA_tC_tDZtFZtGYtIXt\ JWtKWtMVtNUtPTtQTtSStTRtUQtWQtXPsZOs_NsaNsbMscLseK\ sfKshJsiIskHslHsmGsoFspEsrEssDsuCsxBuzAsxBrtCrqDqn\ DqkEphFpeFobGo_HnXInUImRJmOKlLKlILkFMn9NlBMkDMjEMh\ GLgHLfJLdLKcMKbOKaPK_RJZTJYUJWWIVXIUZIS`HRaHQcHPdH\ RbGSaFT`EU_DVYCWXBXWAYV9ZU8_S7`R6aQ5bP4aM0cO3dP6eQ\ 9fSCgTFhUIiWLjXOkYRlZUn`Xoa_pbbqderehsfkthnuiqvjtz\ jyxkwwkvvkuukttksskrrlpqloplnolmmllllkkljjmhimghmf\ gmefmdemcdmbbn`an_`nZ_nYZnXYnWXnVWoTVoSUoRSoQRoPQo\ OPoNOpLNpKMpJLpIKpHJpGIpFHqIHqKGrMGrOGrQFsSFsUFsWE\ tYEt_EtaDucDueDugCviCvkCvmBwoBwqAyuBwsBurCsqCqpDpo\ DnmEllEjkEhjFgiFegGcfGaeH`dHZcHXbIV`IT_JSZJQYIOXHM\ VGLUFJTEHRDFPCDMBCKAAI98G } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 01-08-07 (Gestating Fractal [9])
by Jim Muth 03 Aug '07

03 Aug '07

FOTD -- August 01, 2007 (Rating 9) Fractal visionaries and enthusiasts: It's rare that I rate a fractal image as high as a 9, but I feel that today's image earns it. Such brilliant colors are rarely seen in a fractal with a limited 256-color palette. I actually put over 1/2 hour extra effort into the coloring, which further justifies the rating. The image is a scene near the point where the chaos extending from the nose of the Mandeloid in yesterday's 'Parent Fractal' image merges into a terminating ring. To make things more interesting, I raised the escape radius to the point where the 'outside' stuff is breaking up and the screen is about to become blank. Then I brought the newly-exposed inside stuff to life with the 'bof61' inside fill. The 'inside' and 'outside' stuff blends so harmoniously that it is impossible to tell apart. The escape radius of 1.36769e+023 is quite critical, and it loads correctly from the parameter file. I named the image "Gestating Fractal", since I expect quite a few more good images to come from the same parent fractal. The calculation time of 5 minutes on the P2000 would be only about 1/2 hour on the P200. The P4 processors do not seem to reach their full speed potential with 16-bit programs such as Fractint. As always, the most efficient way of viewing the scene is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and instantly see its full glory posted there. The next few FOTD's will feature further striking images from the parent fractal of today's image. When I find a really good fractal like today's parent, I can't let it go with only one image. Tuesday was definitely user friendly here at Fractal Central. The sky was a clear blue and the humidity was low. The only flaw was a slightly too-warm high temperature of 88F 31C, but with such dry air, it cooled off quickly when the sun went down. The fractal cats must have approved -- at least I heard no complaints. In my department, the moderate amount of work was finished with plenty time to spare, permitting extra time on today's fractal. The next fractal, hopefully just as good as today's, will appear right here in 24 hours. Until then, take care, and we must hope that something will always prevent backward time travel, so that we can avoid facing those irrational time-travel paradoxes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Gestating_Fractal { ; time=0:05:06.81-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-153.3091218623742/+185.2008387397287/\ 2.58795e+008/1/2.51929077138304347/0.01139548530662 params=2.5/-1.05/0.35/-5.05/0/1.36769e+023/0/0 float=y maxiter=5000 inside=bof61 periodicity=10 colors=0008_S9YSAXSE_UJbVNcVSgXXhX`kYcmYhp_mr_rv`w\ w`zrbzzbzlUzeKzgCoU3zW0gM0mP0YS0VU0QX2M_3Hb5Ec6Ag8\ 6j92mA0oA0kC0jC0hC0eC0cC2bD2_D2YD2XD2UD3SE3QE3NE3M\ E3KE2JG0HH0GJ0EK0DM0CN0AP09Q08S06U05V03X02Y00_00`0\ 0`00g00m00r00y00z00z00z03z08z0Cz0Ez0Jz0Nz0Qz0Vz0_z\ 0bz0gz0kz0oy0tw0yv0zv0tv9mv6jp3hk2gg0ec0c_0`V0_Q0Y\ N0XJ0VE0SA0Q80P30N00M00P00Q00S00U00V00X00JA06X00t0\ 0z00z00z00z00z00y00v00r00m00j00g00b00_00X00U20Y20`\ 22c25g28j36m56p56t65w65z85z85z93z93zA3zA3zC5zD5zE5\ zG6zH6zJ6zK8zM8zN8zGGz9Pt2Ym0`p0cr0et0hw0jy0mz0pz0\ rz0vz0wz0zz0zz0vz0ot0hj0c`0YS0SJ0MA0H30K50M60N80Q9\ 2SA6UCAVD9UH8UK6UN5UQ3SU2SX0S_0Sb0Qg0Qj0Qm0Qp0Pt0P\ w0Pz0PzQHPzA0vG0mK5gWC_VJreQMe_Ekg8oo2vw0zz0lz8zzP\ szgpyzmzzjtzgrzcpzcpz`ozkmzkkztkztjzzhzzgztgztezkc\ zkczc_zcXzXSzXPzPMzPHtEEzHCz58zA5o02r00y00S00b00EM\ 0EP0ES2EV3EX6E_8Eb93cS6`S } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 03-08-07 (Octagon Quarter [7])
by Jim Muth 03 Aug '07

03 Aug '07

FOTD -- August 03, 2007 (Rating 7) Fractal visionaries and enthusiasts: In today's image we stay with the parent fractal of July 31 but move away from the Mandeloid. We examine instead some smaller rings inside the largest ring. What we find there is a near perfect octagon surrounded by an 8-pointed star. The octagon inspired the name "Octagon Quarter". Though I put some effort into the color palette, I failed to bring out the full potential of the underlying fractal shapes. As a result, I could rate the image no higher than a 7, which is the minimum rating for fractal satisfaction. The calculation time of 1-1/4 minutes is brief enough to offend the patience of not even the most impatient fractalist. An even simpler way of seeing the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. But doing so will cause you to miss the pleasure of watching the image come to life one line at a time. Another baking hot day, (97F 36C), here at Fractal Central on Thursday made outdoor life unpleasant. The fractal cats, being indoor animals, did not concern themselves with the outdoors. Their chief worry was about getting their food. Despite a fairly heavy work load, I found time enough for today's FOTD image. Tomorrow will likely be the same. Until then, take care, and what is the meaning of man's search for meaning? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Octagon_Quarter { ; time=0:01:14.81-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+202.2548720082665/+360.4289257867374/\ 2.050002e+008/1/-165/0.0748337746768868439 params=2.5/-1.05/0.35/-5.05/0/0/0/0 float=y maxiter=50000 inside=0 periodicity=10 colors=000oakmeiligkmeinchmagl_hk_hj_hi_hh_hg_hd_h\ a_iY_iV_iS_iP_iL_iI_iF_iC_kIUlOOnTIoZCqd6ri1vpLywc\ vv`tuYrtWosTmrRkqOhqMfpJdoHanE_mCYl9Wl7agFgbNmYUsT\ axOhuMgrKgoIglGgiEggCfdAfa8fZ6fW4fU2fY7Z`BScGLfKEi\ P7lT0gEUc0vWFpOUkGhe8w`Es_Ko_Qk_Wg_adZg`ZmXZsTZxQZ\ uITrANo2IgHL`VOUiRNwUTjQZZMdNIiBEkADlACnABoABqAAr9\ 9t99u98w97x97u8Dr8Io8Om7Tj7Zg7ce6ib6n_6tY6yATS9WR8\ YQ8_P7aO7cO6eN5gM5iL4kK4mK6hM7cO8ZQAUSBPUCKVBUZAbb\ 9kfK`dUQcEK7FJ8FI9GHAGGBHGCHFDIEEIDFJCGJCHKBIKAJL9\ KL8LL8MQEPUJRYPTaUVe_XjdZnj`robvudzzfCUdEUcGUaIV`K\ VZLVYNWXPWVRXUTXSVXRXYPYYOcOAaZLcOAeZIcNAi_FaMAn`D\ _LAq`AYKAu_7WJAxY4UIATW5SHASV8RGARUBQFCQTDPEFOQGOD\ INNJNCLVLMMANUJXKENRH`HCRQEbH0UNCfJ9YQFfNC`TIgRGbV\ LlVIiYOrZJt`PzaLzbRzaUseWzfYzhZziazjazldzmdzngzpgz\ qjzrjztmzumzvpzxnzyszwpzxqsvnotkjsifqfbocYnaUlZPjW\ LiUHjWIjXIvIutMssQqqUopYm } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 02-08-07 (The Circle Squared [8])
by Jim Muth 02 Aug '07

02 Aug '07

FOTD -- August 02, 2007 (Rating 8) Fractal visionaries and enthusiasts: In today's image we return to the parent fractal of recent days, where we examine one of the two branches of the seahorse-type valley of the Mandeloid, the two-branched valley that appears where one would expect a single-branched east-type valley. To add extra interest I have evaporated the scene and rendered the resulting screenfull of 'inside' stuff with the inside=bof61 option. In this case, the option works quite well. We all know from geometry class that it is impossible to geometrically square the circle. It's impossible because the number (pi) is irrational. But despite this impossibility, in today's fractal we have a greenish square inside a skeletal circle. This square does not actually square the circle that surrounds it, but I kind of like the idea, so I named the image "The Circle Squared." When I saw the results of the day's fractal work, I decided to rate the image at an 8. The calculation time of 3-1/2 minutes is well within reason, as is the even briefer time required to drop in at the FOTD web site, where the completed image is posted for instant pleasure. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Unacceptably hot weather spoiled Wednesday here at Fractal Central. A temperature of 93F 34C with blazing sun is too hot most everywhere, except perhaps in Yuma, Arizona. The fractal cats spent the day taking it easy. At an age of 4 years, they are still young cats, but those old-age cat habits are already sneaking into their behavior. My day was reasonably average. Unless something extraordinary happens, tomorrow will be the same. The next FOTD will appear in 24 hours, a length of time also known as one day. Until then, take care, and even though the day is 24 hours long, the earth turns on its axis once every 23 hours and 56 minutes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Circle_Squared { ; time=0:03:32.29-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+18.78498568713734/-0.3110130853796065/\ 1439432/1/32.5/-3.34062104436622098e-006 params=2.5/-1.05/0.35/-5.05/0/1e+100/0/0 float=y maxiter=3600 inside=bof61 periodicity=10 colors=000ecRgXNhRKlKGmEEo5Aq05r00t00l0Gc5VXEhNNuE\ Xz5czEZzMTzTNzZKueEol7hr0aw0Vz0Nz0Gz07z0Et3IjEN_NR\ PXXEe_0me0uh0zl0zj0zh3zhCzgMzeTze_zcgzaozauz_zzZzz\ Zzz_wz_qz_lz_gz__z_Vo_NzaIzaCza3za0za0za0za0za0zhA\ zoNtuajzmZzzMzzAzz7zz7zz7zz5zz5zz5zz5zz3zz3zy3zw3z\ w0zu0zt0zt0zw7zyEzzKzzPzzVzz_zzezzjzzozztzzozzhzza\ zzXzyPzuIzqAzm3zj0zg0zc0ya0wa0ua0ta0r_0q_5o_Am_ElZ\ IjZMhZPgZTeZVcVcaRl_NtZKzXIzVbyTCsRAoR5qP3zN0zN0mM\ 0zM0zK0zI0zG0zE0zC0zA0z70z50z30z00z00z00z00z05z37z\ CAzKEzRGyZIueMrjNoqPlwThzVezXazZZzggzomzwtzzzzzzzz\ zzzuzwqzrjzmezh_zcVzZNzTIzNCzI5zC0z50z00z00z00j00_\ 00P33E7C0AE7AGEAGKCIPCIVCK_EMeEMjENoENrCTqCZoCamCg\ lAljAojAthAyg7ze7zc7za7za5z_3tZ3jX0_V0PT0ER00P00N0\ 0M00R00X03a3Eg5MlzTq7azzhzAKzpyzKgzgzzTrwVztVzqVzm\ Vzj_zghzcqy_yuXzqTzmPzjMzeIzaEzZCzqIzqNzzTzzZzzczz\ hzzmzzr_zwazzazzazzazzZzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] Feature Survey
by paulkyle＠ca.rr.com 01 Aug '07

01 Aug '07

I am still using it, but Ultra Fractal and Apophysis are capturing my interest more and more. That makes at least 5 active users <g>. ---- "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> wrote: > Richard wrote: > > > > However, so far I've heard from 4 people. > > I can't tell how many people are subscribed > > to this list. > > The last time I checked there were a little more than 210 on the regular > list, and slightly over 50 on the digested version of the list. > > > > > So I'll just toss out this additional question: > > What do you think is the size of the fractint > > user base today? > > If you are wondering about "users" that have FractInt loaded on a > computer and it functions adequately, then I would say thousands of > people. But this is based upon the DOS, UNIX, Windows, etc. versions > that are available. > > Just in the past 90 days, there have been over 2,010 downloads of the > last version you made available: > > http://www.Nahee.com/Software/FractInt_Setup_21-00_beta-5.msi > > Is there a particular "magic number" of users you are looking for?? > > > Sincerely, > P.N.L. > ------------------------------------------------- > http://home.att.net/~Paul.N.Lee/PNL_Fractals.html > http://www.Nahee.com/Fractals/ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: Fractint Digest, Vol 53, Issue 10
by jackoftradez＠comcast.net 31 Jul '07

31 Jul '07

. ""how many 3-D spheres could fit in a 4-D hypersphere of the same diameter?"" isnt that like saying how many 2-D circles could "fit" into a 3-D sphere of the same diameter? rotate the circles along the 3rd axis and the number is infinity (i think) .

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FOTD 31-07-07 (The Parent Fractal [Not Rated])
by Jim Muth 31 Jul '07

31 Jul '07

FOTD -- July 31, 2007 (Not Rated) Fractal visionaries and enthusiasts: We end the month of July with one of those mysterious parent fractals I so often mention but so rarely show. But this parent is so unique that I just could not let it fade into the shadows of lost fractals. It is so unique in fact that I intend to use it as the source of the next few days' images. And yes, it is the parent of yesterday's 'Endless Loop' image. Even more surprising, I reused the color palette of yesterday's image. The formula that created this parent combines 2.5 parts of Z^(-1.05) with 0.35 part of Z^(-5.05) and adds (1/C). Since it is an image which came about with no exploring, I could not fairly give it a rating. The name I gave the image -- "The parent Fractal" -- is a simple description. The calculation time of 40 seconds is brief enough to make the most impatient fractalist happy. But the most convenient way to see the image is still to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. One final note -- today's image is not the last we will see of this parent fractal. Hazy, hot and humid (86F 30C) was the weather story here at Fractal Central on Monday. Thunder-showers were in the general area most of the day, but none ever came close enough to cool things down. The fractal cats kept cool by ignoring the heat. I kept cool by being too busy to notice it. And the air condi- tioning helped keep me cool also. The next FOTD will appear in 24 hours. At least it is supposed to. Only time will tell if it actually appears. Until next time, take care, and how many 3-D spheres could fit in a 4-D hypersphere of the same diameter? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Parent_Fractal { ; time=0:00:40.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=t center-mag=131.174/240.484/0.003475104/1/-47.5/\ 3.88578059e-016 params=2.5/-1.05/0.35/-5.05/0/0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000CUdEUcGUaIV`KVZLVYNWXPWVRXUTXSVXRXYPYYO_\ YNaZLcZKeZIg_Hi_Fk`En`Dn`Bq_Ara8uY7vb5wX4yb3uW5u_6\ sV8qX9oUBmVClTDjSFhQGfQIcNJbNLYLM_LNUJXWIQRH`SFTQE\ bODWNCfPEYQFfRH_TIgUKaVLlXNmYOrZQz`PzaTzbTzdWzeWzf\ ZzhZziazjazldzmdzngzpgzqjzrjztmzumzvpzxnzyszwpzxqs\ vnotkjsifqfbocYnaUlZPjWLiUHjWIjXIjYJjZJj_Kj`KjbLjc\ LjdMjeMjfNjgNjhOkjOkkPklPkmQknQkoRkpRkrSksSktTkuTk\ vUkwUkxUEdaFb`Ga`G``H__HZ_IY_IXZJWZKVZKUYLTYLSYMRX\ MQXNPXOOWONWPMWPLVQKVQJVRIUSHUSGUTFTTETUDTUCTVDSVD\ RVEQVEPVEOVFNVFMWGLWGKWGJWHIWHHWIGWIFWIE_JHbJKfJMi\ JPlJRmJSmITnIUoHVoHWpGXqGYqGYpIXpJXpLXpMWoNWoPWoQW\ o`VobVncVneVnfUngUmiUzjUzkTzmTznTzpTzqSlrSltSkkSkl\ Rkzmkzmkzmezm`jOWgMRdLMaJHZICWHBXIBXIBXJBXJAXKAXKA\ XLAXLAYM9ZM9_N9`N9aO9bO8cP8dP8eQAfQFgRKhRPiSUjSZkT\ clThmUmnUroVvpVzqWzrWzsXztXzuYzvYzwZzxZzy_zz_zz`zz\ `zzazzGzzHzzHzzWzzizzgzzf } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 29-07-07 (Not a Blank Screen [7])
by Jim Muth 30 Jul '07

30 Jul '07

FOTD -- July 29, 2007 (Rating 7) Fractal visionaries and enthusiasts: Before I begin today's discussion, I must warn that there is a bug in the parameter file. When the image is run directly from the parameter file, the imag(p3) parameter comes up as some ridiculous negative number, resulting in a blank screen. To see the correct image, the imag(p3) parameter must be re-entered by hand to the correct value of 3900000000 or 3.9e+009. When this is done, the image generates normally. I have no idea what the bug is. And my apologies for the late FOTD. Fractal lady and I decided to take the day off on Saturday to enjoy the countryside. We did so much enjoying that it was almost 11pm when we made it back exhausted to Fractal Central. For today's fractal we return to the MandAutoCritInZ formula, and check the fractal that results when various parts of Z^(-1.1) and Z^(-7.7) are mixed before (1/C) is added. The resulting parent fractal is a grossly oversized thing with a prominent 'fan' on the X-axis, with the handle facing west. Today's image is located in a bit of fractal decoration on the blade of this fan. The bailout in today's image is almost 4-thousand-million. I was working with different parameters when I noticed that the fan evaporates as the bailout is raised. This evaporation starts at the handle and proceeds toward the edge. I set today's bailout to the point where the area of today's image is just about ready to evaporate, and rendered the fractal with the inside set to 'bof61'. The resulting image is a cross between a conventional image and an evaporated one. I named the image "Not a Blank Screen" for the obvious reason. If you see a blank screen, you have not changed the imag(p3) parameter. Then I rated it at a 7, which is the minimum rating that I consider satisfactory. In comparison to yesterday's image, which takes nearly an eternity to finish, today's finishes in under one minute on the fast P2000 machine and about 5 minutes on the P200. The image is also available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> but because of the unusual time of day, and the bug in the parameter file, it may be a few hours before it is posted there. So be patient. It was a bit too warm and muggy for perfection here at Fractal Central on Saturday, but the fractal cats didn't mind. When we returned late in the evening, we found Nicholas sleeping in the magazine rack and Cassie curled on the coffee table, both of them happy but hungry. Tomorrow's FOTD will be another good one, and it will appear in only 12 hours. Until then, take care, and save energy; shower with a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Not_a_Blank_Screen { ; time=0:00:55.12-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.45380026680085500/-2.720203553966759\ 00/103939.7/1/-42.5/1.78789296749470861e-007 params=-4/-1.1/-0.7/-7.7/0/3900000000/0/0 float=y maxiter=1300 inside=bof61 periodicity=10 colors=000gR0Z00i02s0Tz0sz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz4zzCzzLzzTzz`zzizzqzzxxzzvzzuzzszzqxzoqzmizkbzi\ VzgNzeGzdAzdGseJmePegT`gXTibNieGkiAko2ms0mv0mz0kz0\ iz0iz0bk0VXCNHNG4Z82Z00Z0Hd02VX2N`2Hd0Ai02m00s00v0\ 0z60uC0qH0kN0gT0bZ0Zd2Vi6Po8LuCGzECzG8zP4zZ2ze0zo0\ zx0zz0zz0zz0zz0sx0im0`b0RR4HG884AA68A84CA0CC0EE0EG\ 0GH0GJ0GL0JE0L80P22R08V0EX0JV0LV0NV0NV2PV6RVARVGTV\ JVVNVVRXVVZVZZ`bbddegeikgmoiqskuvmxzqzzszzuzzvzzxz\ zzzzzzzzzzqzzezvVvkJm`8dR0XERm0uz0ou0ko0gi0db0ZX0V\ R0RJ0NE0J80PE0VH8`LJeRTkVboZZk`Vg`Te`Pb`NZbJXbHTbE\ PbANb8Jd4Gd2Ed0Ad08d0Cd0Ed0Hd0Jd2Nd2Pd4Td4Vd6Zd6`d\ 8dd8edAidAkd6mX2oP0oJ0qC0s40s00q00q00q00o00o00o00o\ 00m00m00m00m00g02d08Z0CV0GR0Pi0Xz4dzCqm4zJ0z00z00v\ 60kE0bL2RT4Hb66iA0qC0xE0zG0zC0z80z62z28z0Gz0Lx0Tx0\ Zv0dv0Zs0Vo4PkELgNHdXCbe8Zo4Vx0Rz0Nz0Lz0Nz0Nz4Nz8N\ uCNmGPeJPZPPTTPLXPE`R6dR0 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: Time travel
by jackoftradez＠comcast.net 30 Jul '07

30 Jul '07

. Jim Muth wrote: > > ....if one went back in time > and killed his earlier self, > would he be guilty of homicide > or suicide? > You can not go back in time and kill yourself (or your ancestors) because you would then not have ever existed in the first place to make the attempt. If a time travel method was developed and you did set out to do this, some how, some WAY your effort would (would have) failed. Because it has "already happened". The so called time travel paradox really isn't (as I see it). Cool to ponder however ..... .

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FOTD 30-07-07 (An Endless Loop [7])
by Jim Muth 30 Jul '07

30 Jul '07

FOTD -- July 30, 2007 (Rating 7) Fractal visionaries and enthusiasts: In today's image we mix various portions of Z^(-1.05) and Z^(-5.05), then add (1/C). The parent fractal created by this formula is a grossly oversized thing -- a Mandeloid festooned with decorative rings -- a fractal that cries out for further exploration. Today's image is located inside one of the rings. I named the image "An Endless Loop". The circular arcs must have inspired the name. Then I rated it at a 7, which is the rating where satisfaction begins. The calculation time of 7-1/2 minutes is within reason. Viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is also reasonable. Sunday was cloudy and humid here at Fractal Central, with a short but heavy thunder-shower in the afternoon. The temperature reached a high of 82F 26C right before the rain arrived. The fractal cats didn't mind the rain, but they were very annoyed when their supper was late. My day was slow and lazy, which explains the short discussion. My excuse is laziness. If I can shake this lazy spell, the next FOTD will appear on schedule, and it will be a good one. I'm going to do further exploration in the parent fractal of today's image. Until next time, take care, and if one went back in time and killed his earlier self, would he be guilty of homicide or suicide? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= An_Endless_Loop { ; time=0:07:26.88-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+191.5993998821306/+296.1294436052638/\ 185790.8/1/142.5/4.70403383504708339e-006 params=2.5/-1.05/0.35/-5.05/0/0/0/0 float=y maxiter=5000 inside=0 logmap=815 periodicity=10 colors=000CUdEUcGUaIV`KVZLVYNWXPWVRXUTXSVXRXYPYYO_\ YNaZLcZKeZIg_Hi_Fk`El`Dn`BpaAra8ta7vb5xb4yb3w`5u_6\ sZ8qX9oWBmVClUDjSFhRGfQIdOJbNL`MM_LNYJPWIQUHSSFTQE\ VODWNCXPEYQFZRH_TI`UKaVLbXNmYOmZQz`RzaTzbUzdWzeXzf\ Zzh_ziazjbzldzmezngzphzqjzrkztmzunzvpzxqzyszztzxqs\ vnotkjsifqfbocYnaUlZPjWLiUHjWIjXIjYJjZJj_Kj`KjbLjc\ LjdMjeMjfNjgNjhOkjOkkPklPkmQknQkoRkpRkrSksSktTkuTk\ vUkwUkxUEdaFb`Ga`G``H__HZ_IY_IXZJWZKVZKUYLTYLSYMRX\ MQXNPXOOWONWPMWPLVQKVQJVRIUSHUSGUTFTTETUDTUCTVDSVD\ RVEQVEPVEOVFNVFMWGLWGKWGJWHIWHHWIGWIFWIE_JHbJKfJMi\ JPlJRmJSmITnIUoHVoHWpGXqGYqGYpIXpJXpLXpMWoNWoPWoQW\ o`VobVncVneVnfUngUmiUzjUzkTzmTznTzpTzqSlrSltSkkSkl\ Rkzmkzmkzmezm`jOWgMRdLMaJHZICWHBXIBXIBXJBXJAXKAXKA\ XLAXLAYM9ZM9_N9`N9aO9bO8cP8dP8eQAfQFgRKhRPiSUjSZkT\ clThmUmnUroVvpVzqWzrWzsXztXzuYzvYzwZzxZzy_zz_zz`zz\ `zzazzGzzHzzHzzWzzizzgzzf } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: Animation
by jackoftradez＠comcast.net 30 Jul '07

30 Jul '07

. Hal Lane posted a PAR for a modification of Jim Muth FOTD 06-04-05 here some while ago, looks like a strange sea creature. I finally got around to doing a zoom-in. Here is what it looks like: http://www.fractal-animation.net/vid/creaturez.zip WMV 640x480, 8 MEG 46 sec. definitely looks like life down there .... .

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Feature Survey
by Richard 29 Jul '07

29 Jul '07

Which of these features do you use on a regular basis? - orbit draw modes (point, circle, etc.) - orbit sound options - L-system fractal type - IFS 2D/IFS 3D fractal type - cellular automata fractal type - random dot stereogram feature - red/blue glasses stereo rendering feature - diffusion limited aggregation fractal type - read fractal type, etc., parameters from GIF and you don't have a corresponding PAR for the GIF - release=/saverelease= in PAR sets, i.e. do you depend on old behavior that had bugs or was different for some other reason - olddemcolors= in PAR sets - logmap=old in PAR sets - raytracing file output; if so, what raytracer? -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

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Re: sound
by jackoftradez＠comcast.net 29 Jul '07

29 Jul '07

. I love fractint! I have been using it over 10 years and still learning things about it - I knew about the orbits option but not the sound! I actually had this idea and wrote some DOS basic programs to plot orbits with sound, the idea came after I read about some group in the sixties who used vacuum tube computers and an old radio to hear the Lorenz orbits. I wrote a couple progs to plot lorenz and rossler orbits with sound. It actually is quite cool. They are old (writ around the turn of the century) and primitive, but cool. Check them out if interested, this link will take you right to them: http://www.fractal-animation.net/progz/filez.html#sound enjoy! JoTz .

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FOTD 28-07-07 (The Most Extreme [8])
by Jim Muth 28 Jul '07

28 Jul '07

FOTD -- July 28, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image is named "The Most Extreme", and indeed it is the most extreme image I have yet posted as a FOTD. To start, the maxiter is 500-million and the logmap is over 1-1/2-million. The magnitude of over 1.7*(10^12) required the mathtolerance entry in the parameter file to prevent the calculation from flipping into arbitrary precision math, which would take about 300 hours. As it is, the calculation time is only 3-2/3 hours. And this is true on the very fast P2000 machine. On the slow old P200 it would take close to three days to finish. But even 3-2/3 hours is ridiculously slow, so I strongly recommend view- ing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The image is a scene very, very deep in the north branch of Seahorse Valley of the Mandelbrot set. It is so deep that I actually surprised myself when I managed to finish it. The rating of an 8 is mostly to reward myself for the extra effort. Perhaps the most unusual thing about the scene is the multitude of what I call "peanut holes", which I have colored a brilliant white so that they stand out in the otherwise dull surroundings. But don't be satisfied with my color palette. Some surprising effects can be achieved with other palettes. On this, the fractal cats agree. A fairly warm and humid day (84F 29C) here at Fractal Central on Friday was interrupted by a heavy thunder-shower in the after- noon. But when the rain moved out, the sun returned. While the rain fell, the fractal cats enjoyed it from their window. Then their thoughts turned to food. My day was a bit busier than normal, but I finished everything in good enough shape. The next FOTD is due in 24 hours. With only a tiny bit of luck, it will be ready by then. Until next FOTD, take care, and be wary of rogue fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Most_Extreme { ; time=3:41:59.76-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.75000000015519540/+0.000009999037165\ 41/1.763618e+012/1/-157.504399363283028/-0.0071528\ 7064864876532 params=0/0 float=y maxiter=500000000 inside=0 logmap=1570000 periodicity=10 mathtolerance=0.05/1 colors=000GE6NE6LD6JC6HC6GDAGEDGFGGGJFHNFIQFJTFKWE\ L_EMbENeEOh8UoEPkKKgQFdWA`a5Xi0Tg1Uf2Vd3Wc4Xa5Y`6Z\ Z7_Y8`W9aVAbTAcSBdQCePDfNEgMFhKGiJHjHIkGJlFJlGLmHN\ mIOmJQnKRnLTnLUoMWoNXoOZpP_pQapQbqRdqSeqTgrUhrVjrV\ ksWmsXnsYptZqt_stYwv_tt`rraopbmocjmdhkeejfchg`fhZe\ iXcjUakS_lPZmNXnKVKAGKAGqDQrBPsBQuBRvBSwBTtDTrETpG\ TnHTlJTjKThLTfNTdOTbQT`RTZTTXUTVVTTUSSURQTQPTPOTOM\ SNLSNJRMIRLHRKFQJEQIDQHBPHAPG8OF7OE6OD4NC3NB2NB4OD\ 5OF7PH8PJ9PLBQNCQPDQRFRTGRVHRXJSZKS`LSbNTdOTfPThSS\ fUSdWSbZR``RZbRXeQVgQTiQRlPPnPNpPLrPJu`EPEPwkBvjBu\ iBthCsgCrfCqeCpdDXDXnbDmaEl`Ek_ES3ThYCfWBeVAcCaaR7\ `Dj_R9_SB_Tz_UGZVJZLLZXOZYQYZTY_VY`YYa_XbbXcdXdgXe\ iVgkUhlSimRjnPkoOmqMnrLosKptMquOrvQswStxUuyWvzYwz_\ xzayzczzezzgzzizzkzzmzzozzqzzrzzszztzzuzzvzzwzzxzz\ yzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Parameters p4 and p5
by GillesNadeau 28 Jul '07

28 Jul '07

Hello All, I have version 20.0 of fractint and it does not seem to be able to read the formulas which contain parameters p4 and p5. Can you light me? I would like so much to be able to play with these formulas of orgfrm. Gilles

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Re: which features use most
by jackoftradez＠comcast.net 27 Jul '07

27 Jul '07

. of the ones listed, i only use "read fractal type, etc., parameters from GIF and you don't have a corresponding PAR for the GIF" alot. And what is "orbit sound options" ? .

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Re: [Fractint] Feature Survey
by paulkyle＠ca.rr.com 27 Jul '07

27 Jul '07

I am still using it, but Ultra Fractal and Apophysis are capturing my interest more and more. That makes at least 5 active users <g>. ---- "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> wrote: > Richard wrote: > > > > However, so far I've heard from 4 people. > > I can't tell how many people are subscribed > > to this list. > > The last time I checked there were a little more than 210 on the regular > list, and slightly over 50 on the digested version of the list. > > > > > So I'll just toss out this additional question: > > What do you think is the size of the fractint > > user base today? > > If you are wondering about "users" that have FractInt loaded on a > computer and it functions adequately, then I would say thousands of > people. But this is based upon the DOS, UNIX, Windows, etc. versions > that are available. > > Just in the past 90 days, there have been over 2,010 downloads of the > last version you made available: > > http://www.Nahee.com/Software/FractInt_Setup_21-00_beta-5.msi > > Is there a particular "magic number" of users you are looking for?? > > > Sincerely, > P.N.L. > ------------------------------------------------- > http://home.att.net/~Paul.N.Lee/PNL_Fractals.html > http://www.Nahee.com/Fractals/ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: Wishlist (was Re: [Fractint] Re: Collections of PAR/IFS/MAP files)
by Richard 27 Jul '07

27 Jul '07

Tony, Now that you are back from your trip (I hope it was fun and relaxing), can you elaborate on these points you mentioned earlier? > In article <546ce4c30705012157g171b82f1q2992120db09e8a39(a)mail.gmail.com>, > "Tony Hanmer" <a.hanmer(a)gmail.com> writes: > > > 4. Removal of some limitations (I've mentioned this before; not the highes t > > priority, but not too difficult to implement either I think, once Fractint > > migrates from DOS). Namely, *.l file limit of 2000 entries (Hanmer Tiles > > are infinite in number...), and L-system programming string limit of 256 > > characters (I think that's the current limit) (Hanmer Tile programming can > > lead to very long strings). > > This can be done for the next beta. > > > 6. IF-THEN programming. There are all sorts of possibilities for this, > > most of which I probably am not informed enough to imagine. Again, they > > would greatly extend L-systems programming. > > Can you provide some sort of specification of how this would affect > the L-system grammar? I have seen probabilistic L-systems and other > extensions of continuous parameters into L-systems done by > Przemyslaw Prusinkiewicz in his SIGGRAPH papers and books, but I don't > recall him introducing a conditional extension. > > > 7. 3d is perhaps not more than a dream or a distant goal, if anything. > > Do you mean 3D a la P.P.'s extensions? Can you elaborate on this a > little more? -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

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FOTD 27-07-07 (In A High Order Valley [7])
by Jim Muth 27 Jul '07

27 Jul '07

FOTD -- July 27, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to our old friend the Mandelbrot set, where we examine a remote valley in the basin of the large bud on the northwest shore of the main bay. The name I gave the image, "In A High Order Valley", is a description of the location of the scene. I rated the image at a 7, mostly to reward myself for the extra work I put into the coloring. I still don't quite have the colors right, but the color palette is good enough to make today's FOTD a 7-rater. The calculation time of 3-1/3 minutes on the fast P2000 machine would be extended to about one hour on the slow P200. For some reason, the fast machine is almost 20 times as fast as the slow machine with type=mandel fractals, while it is only 5 times as fast with type=formula fractals. The completed image may also be viewed by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted along with most old FOTD images. A warm but rather muggy day with a temperature of 82F 28C here at Fractal Central on Thursday was interrupted by a light thunder shower in the afternoon. When the rain ended, the day continued cooler and even more pleasantly. The fractal cats enjoyed the reappearing sun. My day was busy enough to be satisfying. The next FOTD fractal will appear in 24 hours. Until then, take care, and search for other worlds. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= InAHighOrderValley { ; time=0:03:22.57-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.50566260915093210/+0.604501129421405\ 50/5.622984e+009/1/-140/-4.46438176447683244e-005 params=0/0 float=y maxiter=1200000 inside=0 logmap=42541 periodicity=10 colors=000YT_YT_YT_YU_YU_YV_ZV_VWZSWYPXXMXWJXVGYVD\ UVARW7NY4J_1Ga0Cc09d0Hc0Ob0Vb1ba3ia4p`5w`6w_7w_7w_\ 8w_9w_9w_Aw_Aw_BwZCwZCwZDwZEwZEwZFwZFwZIwXLuVOsTQq\ RToPWnNZlL`jJchHffFidDkcBYgJKkR6oZ9sUBvQEsSHqUKoWM\ mYPk_SiaVfcXde_bgb`ieZkgXmf_nfanednefneiodkodnocpo\ cspcupbwpbwpbwpZtkVmfRhaNhXJhS0h00h00h00h0VhHafGgd\ GnbFt`FrZIpXLnVOlTRjRUhQXfO_dNbbMeaOe`Pe_QeZReYSeX\ TeWUeVWeUXeTYeSZeR_eQ`ePaeHab9a_2aY4ZZ5X_6V`7Ta8Qb\ 9OcAMdBKeCIfFHeIGeLGdNFdQFcTEcWDbYDb`CacCafB`hB`eI\ bbOc_VeX`fUfhRmiOskLzlMz`MzQMzFKzJJzNIzQHzUGrYFm`E\ gdDahCWkFRfHMbKHZMIVPLRRONVQJYTFaWBdd7mi3tq0th0qlS\ lgQgcOb`NYZLTSKONIJIHEDF9DD4DC0DA0I90N70N69NDcQEiP\ EoPEu7Ez8Ez9EzBEzDEzFEzHEzJEzLEzNEzPEzREzTEzVEzXEz\ ZEz`EzbEzdEzeEzfEzgEzhEziEzjEzlGzmIznKzoMzpKzqUzrY\ zsYzuYzvYzwYzyYzyYzyYzyYzyYzzYzzYzzYzzYzzYzzYzzYzz\ YzzYzzYzzYzzYzzYzzYzzYzzY } END PARAMETER FILE=========================================

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FOTD 26-07-07 (Before or Behind [7])
by Jim Muth 25 Jul '07

25 Jul '07

FOTD -- July 26, 2007 (Rating 7) Fractal visionaries and enthusiasts: To create today's parent fractal I corrected the error that has plagued the FOTD images for the past two days. I changed 1.68 to 1.618. This change makes a surprisingly large difference in the appearance of the resulting fractal, which grows even larger and looses even more of its main stem, while the Elephant Valley wedge grows narrower and more chaotic. Today's image is located in an area of near total chaos in Elephant Valley. I named the image "Before or Behind" because the depth of its elements is ambiguous. Is the large chaotic area that contains the midget in front of the light blue background or is it behind that background? Its position is especially confusing when the blue background turns a bright red, then fades to black spirals, curling around and apparently now in front of the chaotic area. Actually, the question is meaningless, for no depth is involved at all. It's all done with colors. When I finished tweaking the colors, I rated the image at a 7. It might not be the grandest 7-rated image of all time, but what the h...? I decided to reward myself for the extra effort I put into the color palette. No one can complain about the calculation time of 42 seconds. Such a brief wait would make even a zero-rated image a bargain. And everyone loves a fractal with no wait at all. For this sur- prise go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished GIF image there instantly. An average (partly cloudy, 84F 29C) midsummer day went un- noticed here at Fractal Central on Wednesday. Of course, I noticed it. Otherwise, how would I know it was average? The fractal cats scampered around the house all afternoon. They were angels most of the time, but Cassie managed to get into trouble when she grabbed an incoming fax from the tray and ran off with it. The fractal cats are fascinated by the workings of fax machines. My day was average. Tomorrow will likely be the same. The next FOTD will appear in 24 hours. Until then, take care, and some- times a fractal doesn't know whether it's coming or going. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Before_or_Behind { ; time=0:00:41.58-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.86993121549170300/-0.075331779451652\ 18/342.6201/1/101.3/-5.90179849435656934e-011 params=-1/1.618/1/1.4142/0/0/0/0 float=y maxiter=1500 inside=0 logmap=20 periodicity=10 colors=000EYzHZzJ_zM`zPazSazVbzYcz_dzbezefzhfzkfzn\ fupekoWXnNSmENiDIfDDcDA`D9YD8VD8SD7PD6LC5I94F64C33\ 9026013000000H50L90PD0UI0UM0UQ0UU4UQ8UNDUKHUHLUEQU\ BUU8YU5bU2fU0jU0kU0kU0lW0lY0m_0ma1nc2nc3oc3oc4pc5p\ c6pc6oc9ocCncEncHncKmcMmcPmcSlcUlcXlc_kcakcdkcgjci\ jcljcnecgacaXcVTgPOlIKqDKqILoNMmSMkXNiaOgfOejPcnPa\ nQ_nQYnQWnQVnQTnRRnRQnROnRMnRLnUKnXKnZKnaKncKnfJnh\ JnkJnmJnpJnrJnlKnfKn`KnVLnPLnKLnJRnJWnJ`nIfnIknIpn\ MlnPinSfnVbnY_n`XndTngQnjNnmJnpGnsDnpFnnGnlHniInhK\ nhLnhMnhNnhOnhQnhRnhSnhTnhUnhTnhTnhTnhUnhVnhWnhXnh\ YnhYnhhnhfnhdnhbnh`nhGnhEnhCnhAnh8nh6nh4nh2nh0nh4n\ h7nhAngDndGnaKnZNnWQnSTn9inPWnM_nJbnGenDhnAknqHneQ\ nUYnIfn7sn7rn7qn7pn7pn7on7nnOinJknFlnBmn7An7En7Gn7\ Jn7Ln7On7Qn7Tn7Vn7Yn7_n7bn7dn7gn7in7lnWknTlnRlnPln\ NlnLmnJmnHmnFmnDnnBnn9nnR_n2pn3on4on5on5nn6nn7nn8H\ n7Mn7Rn7Wn7`n7en7jnoPnlRn } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 25-07-07 (Why Me? [6])
by Jim Muth 25 Jul '07

25 Jul '07

FOTD -- July 25, 2007 (Rating 6) Fractal visionaries and enthusiasts: For today's image we return to the same parent fractal that held yesterday's image. This fractal resulted when I mistakenly sub- tracted Z^(1.68) from Z^(1.4142) instead of subtracting the Z^(1.618), Golden Ratio which I had originally intended. This parent fractal is a very large near-Mandelbrot set, with a messed up Elephant Valley and a runt-like main positive stem. In yesterday's image we examined the inner detail of Elephant Valley; in today's image we examine the detail of the abortive main stem. What we find there is an area reminiscent of the railyard effect found in the negative X-axis area of fractals such as the one created by the formula Z^(2.003)+C. And as along that fractal's negative X-axis, today's parent fractal is chock full of midgets along its positive X-axis. Today's image shows one of these. I named the image "Why Me?". I gave it this name when I consid- ered the vanishingly small chance that this particular fractal would ever see the light of day. I rated it at a 6 because to me it seems just a tiny bit above FOTD average. If I had put more effort into the coloring, I might have raised the image to a rating of a 7, but I fear the rating of a modest 6 will remain forever fixed. One thing that will not remain forever fixed however is the calculation time. As computers get ever faster, the calculation time will shrink from its present 1-1/3 minutes on a P2000, and no one can say how brief that time may eventually come to be. But the fastest and easiest way to see the image today is to forget calculating it and view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday turned out average in all respects here at Fractal Central. The weather was neither unusually good nor bad, the work was neither unusually heavy nor light, the fractal cats were their typical selves, and the day's fractal is neither good nor bad. It is a routine slightly above average. I'll try again tomorrow to find a truly great image. Of course there is no guarantee of success. I don't find most of the FOTD fractals. They find me. Until 24 hours have passed, take care, and don't take a fractal sitting down. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Why_Me? { ; time=0:01:22.39-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+5.893397025006797/+0.00381731276127494\ /3.196234e+008/1/-162.5/0 params=-1/1.68/1/1.4142/\ 0/0/0/0 float=y maxiter=2500 inside=0 logmap=172 periodicity=10 colors=000IAfH0eG0dF0cE0bD0aC0`B0_A0Z90Y80X70W60V5\ 0U40S30Q20O10M00K00I00G00E00C00A008006004002003000\ zravnZqjXlgUgcSb_PYXNTTKPPHMKFJFCFAAB570052r42m62h\ 82cA2ZCFUPSZaccznhzxkcnkada_VRXLHVV4_UCXTKUSSRe4If\ 5Qm6Xz7dz8kz9rzHlzOfrVaiaWihRioLivGksLlpPmmTojXpg`\ qddrahnXgkTfhPfeLebHe_DdX9dUGcRMbPSbMYaJc`Hi`ReS_b\ Jh_AqX1edGVkVKsi9zxBkfDXPEW7PSF_`NjiVtqasn_rlYqiXp\ gVoeTnbSm`QmZPc_KU_FL_An_dj_bf_ab_`Z__W_ZZ`b`afcaj\ ebnhcrjcuddsZerTfqNgoHhnBim5il4hg4hb4hY3gT3gO3gK9e\ MEcNKaPP_QUYRYQP`INZKUYL_XMeVOkUPqTQwTRvTSvTTuTUuT\ VtTWtTXsTYsUVmVTmVQmWOmXLmXJm`JrdJvgJzkJznJzmOzmSz\ mXzm`vmdrmimmmhmqcorZqs`rtatucuvdzw0zx0zy0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zzdzzaz\ z_zzRzzIzz9zz0zz9zzHzzPzzXzzdzzlzzizzfzzdzzazzZzzX\ zzUzzSzzZzzdzzfzzhzzjzzkzzmzzozzpzzgzz_zzRzzJzzAzz\ 2zz6zzAzzDzzHzzLzzOzzMzzK } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 24-07-07 (The Golden Error [7])
by Jim Muth 24 Jul '07

24 Jul '07

FOTD -- July 24, 2007 (Rating 7) Fractal visionaries and enthusiasts: The first exponent of Z in today's formula was supposed to be the Golden Ratio, which is 1.618, but I mis-typed the value and entered 1.68 by mistake. No problem. The wrong exponent made a very interesting though unintended parent fractal. This parent fractal resembles a Mandelbrot set rotated 180 degrees, with troubles in the area of its main (positive in this case) stem and its Elephant (west in this case) Valley. I chose to search the troubled Elephant Valley for midgets. The Elephant Valley is troubled by being broadened vertically into a kind of wedge. But some rather interesting chaos lies at the corners of the wedge. It is in this chaos that I found today's scene. Today's image is unusually detailed, almost too much so. In a way it reminds me of the decorative dingbats once used in printing, or it could be a piece of Art Nouveau. But whatever it actually is, I named it after the error that brought the parent fractal into being. I named it The Golden Error". For a rating I chose a 7, which is far enough above average to justify my satisfaction with the rather brilliant coloring. The calculation time of 5-1/3 minutes on the P2000 would be stretched to about 1/2 hour on the old P200 unit. The already- calculated GIF image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cloudy chilly weather with light rain and a high temperature of only 66F 19C made Monday far less than perfect here at Fractal Central. The fractal cats did not worry themselves about the outside conditions. They busied themselves instead by chasing one another up and down the hallway. In my department, the work was light, but a good load is coming in tomorrow, so the work famine will soon turn to a feast. The fractals just keep coming at a steady pace however. The next one will be posted in about 24 hours. Until then, take care, and great fractals demand great faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Golden_Error { ; time=0:05:19.94-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.25347102601401180/-0.065840794263304\ 04/1.505545e+010/1/72.5/0.00237908003330774415 params=-1/1.68/1/1.4142/0/0/0/0 float=y maxiter=3200 inside=0 logmap=538 periodicity=10 colors=000EhBEiGEkJElNHnSMoVPq_SrbXtf_uibrnfoqilul\ ixffzbczY`zSYzNVzJTzDQz8Nz4Kz0Hz0Ez0Dz1BzBAzM8uY7r\ h5nr4iz4f`8rXBqTEqQGqNJqKKoHNoEPoBSo8Vn5Xn2_n0`n0c\ l0el0hl0il0Xh0Kc08`4GbDNcMTeV`fehhnniwukzzlzznzzkx\ thqleiebbY_VQXNJTGDQMENSGKXGHbHEhJBlJ8rK5wK2rH7oGB\ lDEiBJf8Nc7Q`4VY2YT0bQ0fN0iK0nH0rE0uB0z80zA2qBKeDb\ VEtJEz8Mz7Tz5`z4fw2nr1uo0zl0ui4qf8lcDhbHc_MYXQTTVP\ S_KPeGMiAJn5Hr1Ew0Bz08z07z0Az0Dz0Gz0Jz0Mz0Pz0Sz1Vz\ 2Yz4`z5cz7fz8hzEnuKrkPwbVzS`zHez8fzBhzEizHixJkuMlr\ PnoSnlToiXqf_rcbrbcl_fochlXhYQfSNeNKcHHbDE`7B`28`0\ 5`02`00_00Y00X00V00T00V00X00X00b00_00V00Q00N00J00E\ 00A00740B80ED0HH0MT0Ph0hw1ww2ww2wX4zP5zH5zA7z27z08\ z08z0zf0zh0zi1zk2xl5tn7qo8lqBhrDetG`uHXwJTxBKz5Bz0\ 2z00z70zK2zX5ziAzwDzzGzwQzl_w`hqQqkPolNnlNqlMtnKwn\ KznJznHzoHzoGzoGzoJznMzlPzkSzkTziXzh_zhbzfezefzciz\ clzboz`qz`ozVnzPlzKkzEizA } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 23-07-07 (Somber Iterations [7])
by Jim Muth 23 Jul '07

23 Jul '07

FOTD -- July 23, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal combines Z^(1.06) with a very small portion of Z^(10) before adding straight C. The resulting parent fractal is a fairly undistorted Mandelbrot set facing ESE, with a main stem that divides finer and finer like a tree, and a starburst of brilliant rays radiating from its Elephant Valley. The scene is located on one of the smaller branches near the tip of the main stem. My original idea was to find a midget on one of the bright rays radiating from Elephant Valley, but a bit of exploration showed that the inner detail of the rays is not critical, and therefore all apparent trails to midgets in this area will terminate in dry valleys. I named the image "Somber Iterations". Its funereal deep blue colors can hardly be called joyful. I rated the image at a 7 because even though it is not the most joyful of all time, it gets across its somber mood quite well. The calculation time of 23 seconds on the fast machine would be stretched to a still-fast 3 minutes on the slow unit. But the fastest and most convenient way of all to see the finished image is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> This near-perfect weather is becoming boring. Sunday brought sunny skies, a temperature of 81F 27C, low humidity and gentle winds to Fractal Central. The fractal cats alternated between sleeping, eating, and playing. I spent the day taking it as easy as possible, which sometimes is not very easy. The next FOTD will be posted in 24 hours. With any luck, it will be better than today's. Until then, take care, and seek variety. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Somber Iterations { ; time=0:00:23.61-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.87733087363559300/-0.418404669709162\ 10/6.633367e+009/1/-132.5/0.000892639664598786353 params=1/1.06/1e-007/10/0/0/0/0 float=y maxiter=600 inside=0 logmap=41 periodicity=10 colors=000AACAAFAAIAALABOAERAHUEKXIO_MRbRVeVYgZaib\ dkghrllzzzmzzzzzzzomziKzcKzYKcSkXMiTGhPAgQDhRFiSHj\ TKkUMkVOlWQmXTnYVoZcz_mz`czaczaezbcpc`obZn`TmWNbRI\ SMCHHF6IKDJPKJSRKUXKWcLYjL_lPanSclVcjYch`cfccdfcbi\ c`lcZocYkcVhcTecRbcP_cNXcLUcJRcHOcELcCIcAFc8Cc69c4\ 6c23c02c62cB2cH2cM2cR2cX2ca2cg2hl2mqKra`vMzz7zz9zz\ BzzDzzFzzHzzIzzKzzMzzOzzQzzRzzTzzVzzXzzZzz_zz`zzaz\ zbzzczzdzzezzdzzdzzczzczzbzzbzzazzazz`zz`zz_zz_zzZ\ zzYzzXzzWzzVzzUzzTzzSzzRzzRzztzzrzzpzzoSzmQzkOzjMz\ hKzfIzeGzcEzaCz`BzVBzQAzLAzG9zB9z6Az87z97zA6zC6zD5\ zE4zG4zH3zI3zK2zL3zM4zBEzDNzEWzGdzHmzJvzKwzKwzKwzK\ wzKxzKxzKxzKxzKyzKyzKyzKyzKzzKzzKzzzzzzxzzvzztzzsz\ zqzzozznzzlzzjzzizzgzzezzdzzbzzzzKzzKzzGzzCzz9zz5z\ z2zz4zz5zz6zz6zz6zz6zz6zz6zz8PzzOzzOzzNzzNzzMzzMzz\ LzzLzzKzzKzzJzzJzzJzzMzzPzzRzHUzFWzDZzB`z9hz9izGiz\ MizTizZYzdNziCznAzpPzcMzd } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: FOTD
by jackoftradez＠comcast.net 22 Jul '07

22 Jul '07

. ZooM in2 Jim Muth FOTD -- July 08, 2007 is posted: MutaBrot#1 WMV 640x480 8.3 meg http://www.fractal-animation.net/vid/mandelmutant1.zip .

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FOTD 22-07-07 (Feathers a Flying [6])
by Jim Muth 22 Jul '07

22 Jul '07

FOTD -- July 22, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is again late. The reason is that I took the day off. But no harm has been done. Today's parameters will correctly produce today's image long after our sun has become a burned out dwarf and our planet has become a frozen dead cinder. The formula -1.2*(Z^(1.5))+0.8*(Z^(3.5))+C created the image. Its parent fractal resembles nothing as much as some fantastic stringed instrument lying on its side, with today's scene being located in the outermost of the two western valleys leading to the north bud. I named today's fractal effort "Feathers a Flying". I have no logical reason for the name other than to state that the image of a soaring hawk came to mind as I studied the picture. The rating of a 6 indicates only a modicum of satisfaction with the result. The calculation time of just under 4-1/2 minutes is fast enough to keep boredom at bay. And the time required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and see the finished image there is even briefer. Absolutely perfect (25C) weather prevailed again here at Fractal Central on Saturday. The fractal cats agreed, and spent the day sleeping, while fractal lady and I spent most of the day in Bald Eagle Forest, hoping to see some wild life. The only wild life we saw was an ATV in the distance. The non-fractal work was non-existent. Hopefully, this will change by Monday. The next FOTD will appear in 24 hours. Until then, take care, and be of stout heart. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Feathers_a_Flying { ; time=0:04:25.62-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.48552271853071160/+0.362860778900103\ 70/2.5178e+012/1/-28/0 params=-1.2/1.5/0.8/3.5/0/\ 0/0/0 float=y maxiter=2400 inside=0 logmap=480 periodicity=10 mathtolerance=0.05/1 colors=000WbhVejTgkRjmPlnOopMqqKtsJvtIurHuqGtoFtnE\ slDskCsiBrhArf9qe8qc7pb6p`6p_7m`7k`8i`8f`9d`9baA`a\ AYaBWaBUaCSbCPbDNbDLbDJbEI`FI_FIYEGWEFUEEQDCOEBLCB\ IAAFBADCAEC9FDAFGBGICHNEJSGLXHM_IObIQeJRhKTkLVmLWf\ JY`IZVH`PGaIFcCEd6Df0Cg3Fg6Hg9KgBMgEPgHRgKTgMWgPYg\ S`gVbgXbgUbhc_`nQToUZpYeqakrdqWrtWqsWprWoqWopWnoWm\ nWmmWllWkkWjjWjiWihWhgWhfYdcZ`a`XZaTXcQUdMSfIPgENh\ BLgDNfEPeGQdHScJTbKVaMW`NY`OZbQ`dSafUchWdjYel_gnah\ obipdcpeZqfUzgPzhJziEzj9zk4zh6of8nd9mbBl`DkZELunKs\ jJrfJpbIoZInWHlSGkOGiKFhGFgDUWKhKRePGbT5KGJKHKKIKK\ JKKJKKKKKLKKLKKMKKNPTOUROZQPcPQhOQmPPUQPURPUSPUTOU\ UOUVOUWOUXNUzNnzNnzNnzMnzMnzMnzMnzJozHpzFqWDrUBsS8\ tQ6uO4vM2wK0wJ2tI3qI4nH5kG6iG7fF8cEA`EBYDCWCDTCEQB\ FNBGLBGNDp2BqF9rS7scAtdDueGveJzfMzfPzgRzgdzurzgmzh\ hzhdzh_ziazgVziJobfzObzUZzZVzdqz_jzbczdXzglzqizplz\ RjzUhzXfz_dzabzb`zd_zeYzg } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 53, Issue 4
by jackoftradez＠comcast.net 21 Jul '07

21 Jul '07

. ZooM in2 Jim Muth FOTD -- July 17, 2007 is posted: MutaBrot#2 WMV 640x480 8.5 meg http://www.fractal-animation.net/vid/mandelmutant2.zip .

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FOTD 21-07-07 (Intricate Billows [7])
by Jim Muth 21 Jul '07

21 Jul '07

FOTD -- July 21, 2007 (Rating 7) Fractal visionaries and enthusiasts: The formula behind today's image combines 4 negative parts of Z^(-1.3) with 0.6 negative part of Z^(-6.6) before adding (1/C). This combination produces a parent fractal that consists of four large north-south oriented bays, a prominent fan, and filaments that terminate in rings. Today's image was rendered with the default 'equal iteration bands' in effect. The only special effect is a color palette with very narrow bands. The scene is located in a valley of a double Mandeloid lying near the east edge of the fan. I named the image "Intricate Billows" because I couldn't think of any- thing better. The rating of a 7 shows that I am pleased with the results of the day's efforts. The calculation time of just over 3 minutes on a P2000 shows that the image is a relatively fast one. As has been true for 10 years, the finished image is posted for instant and total enjoyment on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Friday high temperature of 77F 25C was great, but a few too many midday clouds kept it from being absolutely perfect here at Fractal Central. The fractal cats enjoyed the near-perfect weather from inside. My day was about average, which gave me a couple hours to enjoy things. The next FOTD will appear in 24 hours, so until then, take care, seek truth, and be sure you know the truth when you find it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Intricate_Billows { ; time=0:03:07.96-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.94315695690715300/+0.001849876854336\ 72/1.057157e+008/1/70/5.06303060240909097e-007 params=-4/-1.3/-0.6/-6.6/0/0/0/0 float=y maxiter=2250 inside=0 logmap=280 periodicity=10 colors=000cMKcNKcOKcPKcQKcRKcSKcTK`UFXVAWWGWSMVOSV\ KYUGcUDiNCcGBY9AS29M17J16G15D14B038025y0R012EsZBiT\ 9`N7SH4IB295dzjZrdUjZPbTKVNFNHAFB575EtjCldAeZ8ZT7S\ N5LH3EB175ODRKAMG8IC6D849424QSfMO`JLWGHQDEL9AG67A3\ 35nwQckKU_FKOAAC5En`rmYkfTd`PYVLRPHKICDC8664qo7SHw\ OEnKCeG9YC7P84H428tSdkOZcKTWGNOCHG8B845NY4`W3GO2DJ\ 29E1691340zZFzPCcKAUF7KA5A52I2UF1PC1K91F60A305aN5U\ I4MD3F92741vX8nS7gO6_K5TG4MC3E827414Ai38a26U25N13F\ 017BvN5TBa`keaWVSOLJGA98JEKGCHDAEA8B868545222zZ2mS\ 1`L1PE0C70ps4Z`2HI1dmWU`OKPGAC8T1oN0dH0VB0K50ATtuN\ hiHYYBMN5BBuIqT9RkcqaWfSOWJGL98AgIofhzWAVL7KA3A6fE\ 4WA3L71A3rNGhJD_FARB8I75932b`XJIGDXiARa8MU6GN4BF25\ 72gt1Xe1MS0BE6ab4ST3JJ199MNdIJYEFRBBK77D336aLYPEMC\ 7BwCVU6FFoKCfGAYD7QA5H6283`PPICCCqi9zY6zN3zBqz1zz0\ zz0zz0zz0zz0zzzzzzzzzzzzzzz0zz0zzFzzAzz5zzFzz1zz0z\ z0zz0zz0zz0zz0zz0zzDzz8zz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 20-07-07 (Red Running Riot [6])
by Jim Muth 20 Jul '07

20 Jul '07

FOTD -- July 20, 2007 (Rating 6) Fractal visionaries and enthusiasts: The FOTD is once again late. Please accept my humblest apologies. My excuse is that one of the fractal cats ate the fractal. (Actually, I got involved in a book about a theory of [almost] everything.) Today's image is the fourth consecutive one from the same parent fractal, the fractal created when portions of Z^(1.5) and Z^(2) are combined. The scene of the image is on the shoreline of the quasi-bud on the negative X-axis of the parent. I added some extra moxie to the image by rendering it with the inside set to 'FMOD'. The result, while not exceptional, still rates a slightly-above-average 6. I named the image "Red Running Riot" for no reason other than I simply felt like it. The calculation time of 2-3/4 minutes is quite reasonable. Even more reasonable is enjoying the image instantly by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted in its full semi-glory. But due to the late- ness of the FOTD, it might be a little while before Paul renders and posts it. If so, be patient. Patience is rewarded with fractal happiness. Extreme humidity and occasional spits of rain again made things oppressive here at Fractal Central on Thursday. The fractal cats were not worried however. Their problem was trying to find trouble to get into. My problem was to get the work finished, which I did with no trouble. The next FOTD will appear in 24 hours. Until then, take care, and maybe life is just a fractal allegory. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Red_Running_Riot { ; time=0:02:43.18-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=mandautocritinz function=ident passes=1 center-mag=-0.32982283800049720/+0.022825031632245\ 77/4602889/1/135/-7.61104304941584431e-007 params=1/1.5/0.5/3/0/0/0/0 float=y maxiter=1500 inside=fmod proximity=0.71 periodicity=10 colors=0006LZ5L`5La7Mc9MdBMeDMgFMhHNiJNjLNlNNmPNnR\ OoTOqVOrXOsYOtWNuVczUczSczRczQczPczNczMczLHxKGxIGx\ HFyGEyFEyGDvHDsIDpICmJCjKCgKCdLBaMBZNBWNATOAQPANPA\ K`DYkGkvIyuGxtFxtExsDwrCwrBwqAwp9vp8vo7vn6un5um4um\ 3u50a73`86`A9_BC_DFZEHZFKYHNYIQXKTXLVWMYWO`VPcVRfU\ SiUTkTVnTWqSYtSZwR_yR`wTavUbuVcsWdrYeqZfp_gn`hmail\ cjkdkielhfmggnfiodjpckqblramsbisbfsccsc`scYsdUsdRs\ eOseLseItgHthHtiGtjG00K00L00M00N00O00P00Q00S00U00W\ 00Y00_00a0AcAKeKUiUYmcWrmUusSvrQwrOxrNxsMptLiuKbvJ\ WvIPuNMuRJuVHuZEubCuf9uj7sf6qc6o`6mY6lV5jS5hP5fL5d\ I5cF4aC4_94Y64X34Y57Y6AY8CY9FZAHZCKZDMZFP_GR_HU_JX\ _KZ`Ma`Nc`Of`QhaRkaTmaUpaVrWUhRUZLTPGTGIVIJXKKZML`\ OMbQNdSOfUPhWQzYRz_SzaTzcUzeVpcVnaWl_WjZXhXXfVYdTZ\ cS_aQ__O_YN`WL`UJaSHaRGbPEbNCdLAdJ9fH7fF5gE4eD5eC5\ cC6bB6aB6`A7_A7Z97Y88X88W78V79V69U69U5AT4AT3AS2AS1\ AR0AR0AQ0AQ0AP0AP0AP0AP0A } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 19-07-07 (Lost in the Chaos [6])
by Jim Muth 19 Jul '07

19 Jul '07

FOTD -- July 19, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is a bit late, but better late than never. The image is a scene in the same parent fractal that brought us the two most recent FOTD's. But whereas yesterday's image was located in the center of the valley on the positive X-axis of the parent fractal; today's image is located in a kind of debris- filled elephant trunk on the shoreline of the valley. I named the image "Lost in the Chaos" because most of the image consists of a sea of pure chaos, a rather unlikely place to find a quadratic Mandelbrot midget. But there is just enough order amid the chaos to make an image marginally worthy of FOTD status. Though the image is by no means exceptional. To express my moderate satisfaction, I rated the image at a 6. The calculation time of 3-1/2 minutes is true on the fast 2000mhz machine. The old 200mhz unit would take near 20 minutes to complete the calculation. The best way to see the image is to forget the calculation and go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the complete image will soon be posted for instant viewing. But before going give Paul a chance to post the image. The problem with the weather here at New Fractal Central on Wednesday was too much humidity. Had the air been drier, the temperature of 82F 28C would have been quite comfortable. A few raindrops that fell from heavy clouds in the morning amounted to nothing. The fractal cats were on their best behavior all day. My day was filled with a lack of excitement, not that I wanted any that is. The work was finished with time to spare, and the fractal turned out just far enough above average to make it worth the effort. The next FOTD will appear in 24 hours, rain or shine. Until then, take care, and a fractal is never in vain. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lost_in_the_Chaos { ; time=0:03:31.13-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.20738281490279470/-0.046214062576281\ 30/1.497643e+011/1/130/-0.0057 params=1/1.5/0.5/3/\ 0/0/0/0 float=y maxiter=3600 inside=0 logmap=170 periodicity=10 mathtolerance=0.05/1 colors=000uYPu`SucUufXpi_kldfoharmXuq`sncqlgojjmgn\ keqicriZtgaufcwdexcgzbjz`lz_nzanzZpzXrzVszTuzRvgLs\ MFqIzwYtuihtljsolrqnqtppvroytnzvmvnerfYmZQiRIdJA`C\ 2`C2`C1`C1`C1`C1`C1aD2bE3cE4dF5eG5fG6gH7hI8iI8iJ9j\ KAkKBlLBmMCnMDoNEpOEqOFrPGrQHsQHtRIuSJvSKwTKxULyUM\ zVNzUPzVNuVLpWJkWHgWFbXDYXBTY9PY7KY5FZ3AZ16Z0AX3DV\ 6GT9KRBNQEQOHUMJXKM_JPcHRfFUiDXjCYlCZfJa_PdUWgOajN\ akM`kL`kL`kK_lJ_lIZlHZlJXmHZmG`mFbmDcmCemBgmAim8jm\ 7lm6nm5om6nm7mm8lm9kmAjmBimChmDgmEfmFemGdmHcmIbmJa\ mK`mL_mMZmNYmOXmPWmQVmRUmSTmSTmRSmRSmRSmQRmQRmQRmQ\ RmPQmPQmPQmPQmOPmOPmOPmOPmNOmNOmNOmMNmMNmMNmMNmLMm\ LMmLMmLMmKLmKLmKLmKLmJMmJNmJOmJOmJPmJQmJRmIRmISmIT\ mIUmIUmIVmIWmIXmHXmHYmHZmH_mH_mH`mHamFbmHamI`mK_mL\ ZmNYmOYmQXmRWmTVmUUmWUmXTmZSm_RmaQmbQmdPmeOmgNmhMm\ jLmkLmmKmnJmpImqHmsHmtGmvFmMRmPRmSRmVRmYSm`SmbSmeS\ mhSmfLmdEmgDmjCmmBmoAmr9m } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 18-07-07 (Points of Pleasure [8])
by Jim Muth 18 Jul '07

18 Jul '07

FOTD -- July 18, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image was found in the same parent fractal that held yesterday's image -- the fractal created by combining Z^(1.5) with half as much Z^(3). But today, instead of examining the shoreline near the negative X-axis, we check the center of the valley on the positive X-axis. We find there a string of interesting fractal objects. But we must go quite deep into one of these before we stumble upon today's image. We go so deep in fact that it was necessary to include the mathtolerance entry in the parameter file to assure that the image calculates at the correct magnitude. And once we have found our scene, we notice that, though the equal iteration bands give a rather good image, the outside=tdis setting does an even better job. After all this finding and rendering effort, I was satisfied enough with the image to name it "Points of Pleasure" and rate it at an 8. The calculation time of 3-2/3 minutes on the new P2000 machine would be stretched to around 15 minutes on the old P200 unit. But the time required to view the completed GIF image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is always the same. When one gets there, the viewing is almost instant. Most everyone agrees that the high temperature of 90F 32C here at Fractal Central on Tuesday was too warm to be considered ideal. And the humidity helped none at all. The fractal cats, unconcerned with the outside conditions, spent the day trying to get into trouble but finding little. My day was spent working and trying to stop the fractal cats from sitting on the work. Cats have a habit of doing this for no apparent reason other than simply to annoy their owners. The next FOTD will appear in 24 hours. Until then, take care, and how many times can the number one be subtracted from the number twenty-five? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Points_of_Pleasure { ; time=0:03:41.90-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.17536958522584230/+0.000039467196395\ 35/6.59468e+011/1/-120/0 params=1/1.5/0.5/3/0/0/0/0 float=y maxiter=2000 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000kuEeuF_vHUvIOvJIwLCwMVWd6wN8pPAiQCbREWTG\ PUIIVI4TJBWJHZKNaKTdLZgLdjLjlDefLdbBdaTdZidXzdVjEW\ eGVaHVYIUUJUQKTMLTIMSJ82ENSFMLGLEH`WGK8PR4XX1ZU3_R\ 5aO6bL8dIAeFBgCDhAEjDBlF9nI7pK5wQ2qM3lJ3fG3aD4WA4R\ 74M44ZHAkUFybOxeKwhHvkDumAtp6ss3ru0hh0_X0cjEgwSftR\ eqRdnQclQbiPafPpkE`dPUaPLYZEXfDUhCRjBOlALn9Ip0Kp8G\ qGDrNAsSFoWJl_OhcSehXbl`ZpeWtiTqhSohRmgQjgPhfOffNX\ eSdfNlgJtgFpcQl__gQniXikbdmh_ibafYccTe`OgPJ1NE8G8C\ M9JRAQXBWaBbgChlDoqDunUdkjOfhNb`MRULKOKDIJ6DJGJOQP\ S_VWi`_sXvrfczuFqpMikSafYTadLXjDSp5OvIRlVTcgWUzYLl\ RIaLGRFDI9BEAKABK0EK6CKBBKHAKM9PV8Sc7QmUOzUPzPNm5M\ c6KT6JO7HB2FJ7GRCHYHIecJlcJecJ_cJULJNKJHIJBGJ0EG5F\ JAGLEGOJHQNHSTJTZLTcMTiOUoQztRzoPzjNzeMzaKYXJZSH_M\ IdOG_PEVQCRRAMS8IZg6eV9gD7kJBnPzqVzkUzt_Lp`QlaVib_\ eccbdhZemJXpWfqgprszsnroijkebg`WdWO`SGXN8TJ1QG0SE0\ UB0W90Y60_40`9AYEKVJUSOcP } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 17-07-07 (Uncut Jewels [7])
by Jim Muth 17 Jul '07

17 Jul '07

FOTD -- July 17, 2007 (Rating 7) Fractal visionaries and enthusiasts: In today's fractal formula we combine 1 part of Z^(1.5) with 1/2 part of Z^3 and add straight C. This formula produces a parent fractal that consists of two symmetrical and partially merged Mandelbrot sets facing north and south. Today's image is located on the western shoreline near the X-axis, where the two sets merge, and a small but curious kind of bud is located. The parent of today's image is symmetrical around the X-axis, but it is a very critical type of symmetry. If the exponents of Z are changed from 1.5 and 3, the symmetry vanishes at once. If Z^3 is changed to Z^2.5, and all else kept the same, the resulting parent fractal is one of the most unusual I have yet encountered. I named today's image "Uncut Jewels". The four faceted elements remind me of diamonds in the rough. I rated it at a 7, which might be a bit high, but it's really a rather pleasing fractal. The included parameter file runs in 31 seconds on my fast fractal computer. The old P200 would take about 3 minutes to finish the job. As always, the best way to see the finished image is to go online to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it instantly there. With a temperature of 86F 30C, Monday was a bit too warm to be considered perfect. But I doubt that anyone noticed the deficiency. The cats kept themselves occupied chasing each other, hiding, and suddenly pouncing. My day was suitably busy. If all goes well, tomorrow will be the same. The next FOTD will appear in 24 hours. Until then, take care, and if a farmer has seven daughters and each daughter has a brother, how many children does the farmer have? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Uncut_Jewels { ; time=0:00:31.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.26485847107386810/-0.037316662862560\ 15/1.227384e+009/1/97.5/-7.40612221022743378e-005 params=1/1.5/0.5/3/0/0/0/0 float=y maxiter=750 inside=0 logmap=64 periodicity=10 colors=000666999DDDGGGJJJNNNQQQZZZiiilllnnn0rp0tr0\ uz0uz3lwBelGZlJblNglQllUrlOpXOlIOiGOjGOlENlEUj9Zi5\ eg2j`0pQ0j90b00m89nTSp_VrdVtlhuruzzzzzzNG6B8600600\ 6808S08N08E08809O0BeBJwNUzZbzjlzwuzz0zz0zzzzz0zz0z\ rSzUOz6LzcU0z`0zX0zW0zU0zQ0zO0zN0zJ0zG5zD9z9Gz6Lz3\ Qz2Sz0Uz0Wz0Xz0Xz0Zz0`z2`zDbzQbzbcznczzXyjSyXNwJGw\ 5Bu06u0WzwZyu`rtbircbrgWpiNnjGll9lbQuSezIwz8zzIzzS\ zz`ztjzjtzcuziuzlwznwppycryUtzItz8uz0wz0yz0yu0zp0z\ j0zc0zZ3zU9zNEzIJzDOz6Uz2`z0ez0jz0pz0uzNG0OL0QQ0QU\ 0SZ0Ub0Ug0Wj0Xp0Xt0Zy0Zz0Sz0Lz0Ez08z02z00z20z50z65\ n0OS0i60z00z00z00z03z0Bz0Lz0Uz3bz5jz6tz3jz0cz0Xz0Q\ z0Jz0Dz06z00z00z60zD0zJ0zQ0zX0zc0zj0zr0zy0zz0zz0zz\ 2zz3zz3zzDzzLzzUzzbzzlzzuzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzbzzDzz0zz0zz0zz0zz0zz0zz2zz5zz8zzBzzEzzIzzL\ zzOzzSzzWzzQzzNzzJzzEzzBzz8zz5zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 16-07-07 (Belated Pinwheels [6])
by Jim Muth 16 Jul '07

16 Jul '07

FOTD -- July 16, 2007 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image was created by combining 10 negative parts of (1/Z) with 2 negative parts of Z^(-5) and then adding (1/C). This parent is little more than a spidery network of radiating shafts, with today's image being located on a spiralling filament extending from a bud near the point where the radiating shafts converge. I named the image "Belated Pinwheels". I have forgotten what inspired such an unlikely name, but it sounds rather enigmatic, so it will remain. The rating of a slightly-above-average 6 shows that I am satisfied with the day's production, but feel that it leaves a lot of room for improvement. The calculation time of 2-1/2 minutes is conveniently brief. Even more convenient is viewing the already-calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature was a bit too warm, the humidity was a bit too high, the sky was a bit too hazy and the threat of rain was a bit too high for perfection here at Fractal Central on Sunday. But it was perfect enough for the fractal cats, who gave up on the chipmunks in the yard, and spent the day chasing each other around the house. My day was lazy. I doubt that tomorrow will be a repeat however. In any case, the next FOTD will appear in 24 hours. Until then, take care, and can a fractal image bring a mystic revelation? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Belated_Pinwheels { ; time=0:02:31.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-2.21453853770298400/+1.091584484885334\ 00/1.29646e+007/1/97.5/-2.83378731532474282e-006 params=-10/-1/-2/-5/0/0/0/0 float=y maxiter=2800 inside=0 logmap=220 periodicity=10 colors=0007PU8QN9QGAQ9BR3CQ9DREEQJFRMGQOHRQIQTJQVK\ QXLO_MMaJLbGIdEFeBCf99gBAdDAdFAdHAdJAdLAdNBcPBcRBc\ TBcVBcXBcZBe_Aa`9``8Xa8Zb7Vb6Wc5Sd5Ud4Qe3Mf2If2Fg1\ Bh07h04e53cA3aF2_K2YP1WU1UY1LZ9CZHDXIDWIDUIDTIDRID\ QIHRKKRMNRORRQUSSXSU_SVcUXfUZiZ`mZbpcdscfvcgmegmme\ mmcmmbmm`mmZhjYcmWZrVUvTPwRLwQLwOLwMLvLLrJLmINfNP`\ SQUXSOaTHfVBkW5oYBg_H``MTbSMdYEeb72ly6ksAkmDjgHjaL\ jWOiQSiKViFTeKRbOP_SOWWMT_KQZINYHJaFGeDDiCAmFCjIDg\ KEdNFfPGcSIeVJbXK`_LYaMVwOSwPPwQMwRJwSHwYIwbIlgIll\ IjjKiiLhgNffOeePdcRcbSaaT`_V_ZWZYXLOQ8FJ7JY7MlFOjM\ PiTQh_RgfSfaXgXagSfgNjgIogDtg9xgAwfAvfBufBtfBsfCre\ CqeCpeDoeDneDmeCjgBgiAek9bm8_o8YqH`oQbnZdlgfkohjli\ dij_gkUdlPblKRoSGqZMrVRsRWtN`uKevGjwCwx5oy9hzDazHU\ zKNzOGzS9zVLz_XzcmzngzgjzdbzaVzZNzWFzT8zRAzMCzIEzE\ GzAPzCYzDfzFozGxzJwzHvzFuzDuzCtzAsz8sz7hz9YzAczyNz\ BRzGUzKYzP`zTdzYgza1zg2z` } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 14-07-07 (Belated Pinwheels [8])
by Jim Muth 16 Jul '07

16 Jul '07

FOTD -- July 16, 2007 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image was created by combining 10 negative parts of (1/Z) with 2 negative parts of Z^(-5) and then adding (1/C). This parent is little more than a spidery network of radiating shafts, with today's image being located on a spiralling filament extending from a bud near the point where the radiating shafts converge. I named the image "Belated Pinwheels". I have forgotten what inspired such an unlikely name, but it sounds rather enigmatic, so it will remain. The rating of a slightly-above-average 6 shows that I am satisfied with the day's production, but feel that it leaves a lot of room for improvement. The calculation time of 2-1/2 minutes is conveniently brief. Even more convenient is viewing the already-calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature was a bit too warm, the humidity was a bit too high, the sky was a bit too hazy and the threat of rain was a bit too high for perfection here at Fractal Central on Sunday. But it was perfect enough for the fractal cats, who gave up on the chipmunks in the yard, and spent the day chasing each other around the house. My day was lazy. I doubt that tomorrow will be a repeat however. In any case, the next FOTD will appear in 24 hours. Until then, take care, and can a fractal image bring a mystic revelation? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Belated_Pinwheels { ; time=0:02:31.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-2.21453853770298400/+1.091584484885334\ 00/1.29646e+007/1/97.5/-2.83378731532474282e-006 params=-10/-1/-2/-5/0/0/0/0 float=y maxiter=2800 inside=0 logmap=220 periodicity=10 colors=0007PU8QN9QGAQ9BR3CQ9DREEQJFRMGQOHRQIQTJQVK\ QXLO_MMaJLbGIdEFeBCf99gBAdDAdFAdHAdJAdLAdNBcPBcRBc\ TBcVBcXBcZBe_Aa`9``8Xa8Zb7Vb6Wc5Sd5Ud4Qe3Mf2If2Fg1\ Bh07h04e53cA3aF2_K2YP1WU1UY1LZ9CZHDXIDWIDUIDTIDRID\ QIHRKKRMNRORRQUSSXSU_SVcUXfUZiZ`mZbpcdscfvcgmegmme\ mmcmmbmm`mmZhjYcmWZrVUvTPwRLwQLwOLwMLvLLrJLmINfNP`\ SQUXSOaTHfVBkW5oYBg_H``MTbSMdYEeb72ly6ksAkmDjgHjaL\ jWOiQSiKViFTeKRbOP_SOWWMT_KQZINYHJaFGeDDiCAmFCjIDg\ KEdNFfPGcSIeVJbXK`_LYaMVwOSwPPwQMwRJwSHwYIwbIlgIll\ IjjKiiLhgNffOeePdcRcbSaaT`_V_ZWZYXLOQ8FJ7JY7MlFOjM\ PiTQh_RgfSfaXgXagSfgNjgIogDtg9xgAwfAvfBufBtfBsfCre\ CqeCpeDoeDneDmeCjgBgiAek9bm8_o8YqH`oQbnZdlgfkohjli\ dij_gkUdlPblKRoSGqZMrVRsRWtN`uKevGjwCwx5oy9hzDazHU\ zKNzOGzS9zVLz_XzcmzngzgjzdbzaVzZNzWFzT8zRAzMCzIEzE\ GzAPzCYzDfzFozGxzJwzHvzFuzDuzCtzAsz8sz7hz9YzAczyNz\ BRzGUzKYzP`zTdzYgza1zg2z` } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 15-07-07 (The Lost FOTD [?])
by Jim Muth 15 Jul '07

15 Jul '07

FOTD -- July 15, 2007 (Rating ?) Fractal visionaries and enthusiasts: Today's image is several months old. It is a curiously interes- ting image, but it has not been posted until now because I lost the parameter information when I saved it in the wrong format. But it can still be viewed on the FOTD web site, where I have already sent it. The fractal object in the image is obviously a distorted version of the Mandelbrot set. The irregular stretching indicates it was created by one of the four-dimensional Julibrot formulas, but I have no idea which formula created it, much less what the parameters might be. I twisted and turned the M-set in four-dimensional space in every way possible. I even used the Fractint explorer/evolver, but I can't even come close to re-creating the particular distortions in today's image. I rated the image as a question, and named it "The Lost FOTD". I have no idea of the calculation time. The image is or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It's probably best to give Paul a chance to post the image on the web site before rushing there to see it. Saturday was near perfect here at Fractal Central, so perfect in fact that fractal lady and I decided to spend the day exploring the state park. The fractal cats were a bit cranky when we got back in the evening after we had been gone most all day, but an extra generous treat of tuna and cheddar soon lifted their spirits. The next FOTD, complete with parameter file this time, will appear in around 6 hours. Until then, take care, and be at ease with the mysteries of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com SORRY, NO PARAMETER FILE===================================

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FOTD 14-07-07 (Straight-Edged Julia [8])
by Jim Muth 14 Jul '07

14 Jul '07

FOTD -- July 14, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image is almost a Julia set of East Valley of the Mandelbrot set. But in this case, the word 'almost' means a huge difference. True, the scene is sliced within 1/10th of 1 degree of the true Julia orientation, and the outer shape of the fractal is what would be expected of an 'East Valley' Julia set. But the inside is unlike any Julia set that I have seen. The corresponding Mandelbrot point is located inland very near the edge of a tiny bud on the northern shore of East Valley. The diagonal straight edge is the remains of that shoreline. This edge inspired the name "Straight-Edged Julia". But how can a near circular shoreline become straight? The answer involves a four-dimensional abstraction. But a pretty good analog can be given in three dimensions. Imagine a long cylinder. When this cylinder is intersected by a plane at a right angle, the section is a circle. As the intersecting plane rotates, the section becomes an increasingly stretched oval, until finally, when the plane is parallel to the cylinder, the section consists of parallel straight lines. When a dimension is added, this is what causes the straight edge inside today's fractal, as well as the 'bridges' that appear so often in the four odd orientations of the Julibrot. The irregular disks in the upper left portion of today's image are created by rendering the image with the inside set to 'fmod'. Since I think the image is pretty good and I also enjoy the math part of today's image, I rated it at an 8. The parameter file takes just over 6-1/2 minutes to calculate on my fast fractal computer. On the slow machine it would take around 1/2 hour. But why not avoid calculation and view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A near perfect day prevailed here at Fractal Central on Friday, with lots of sun, blue skies, puffy white clouds and a tempera- ture of 81F 27C. A few drops of rain and a couple grumbles of thunder in the evening did not spoil the day. The fractal cats were rather restless most of the day, though I noticed nothing out of the ordinary in the vicinity. My day was about average. With a slow day expected tomorrow, fractal lady and I will likely take a short trip. It probably will not affect the FOTD, but if the FOTD is late, you will know we were late returning to F.C. Until next time, take care, and see the world with 4-D eyes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= StraightEdgedJulia { ; time=0:06:40.74-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2a passes=1 center-mag=0/0/1.103753/1/-90/0 params=89.9425/\ 90.0832/90.1493/90.0832/0.266/0.0042/0/0/0/0 float=y maxiter=100000 inside=fmod periodicity=10 colors=000cIKeLKgOKiRKkUKmXKo_KqbKseKuhKwkKynIyqHv\ oGsmGpkFmiFjgEgeEdcDaaDZ_CWYCTWBQUBNSAKQAIPAMOCQNE\ TMFXLH_KIcJKgIMjHNnGPqFQoEOnFMlMKkSJhULeWMbYN__PYa\ QVcRSeSPfUMhVKjWHlXEnZBp_8r`6saFl`Oe`XZ`eT`dVacXbb\ Yba_c``c_bdZdeZeeYgfXhfWjgVlhUmhToiTpiXlg`hfceegad\ kYcnVbrRavN`yK_wL`vM`uNatOasOaoXgkdlglqctvbusaupau\ m`uj_vg_veZvbZv_YwXXwUXwSWwPVxMVxJUxGUxEWuFYsGZqH`\ oIamJckKdiLfgMheNicOkaPl_QnYRoWSqUTrSUpSVnSWlTXKdI\ QbMWaPa`TgZXmY`sXcpY`nYZlYWjYUhZSfZPdZNbYL`YIZXGXX\ DVWBTW9RV6PV4NU2QT4TS6WR8ZQA`PCcOEfNFiMzlLznKzqKzt\ KzwKzyKzvKzsKzqKznKzkKziKzfKzcKzaKzZAzW8zU6zPKzLKz\ HKzDKzBKzAKz9Kz8Kz7Kz5Kz4Kz3Kz2Kz1Dz5Ez8FzCGzFHzIH\ zMIzPJzTKzWLzZLzbMzeNziOzlPzoPzcAzTAzPAzMAzJAzGAzD\ KzASzERzIRzLRzPQzSQzWQz_PzbPzf0zi0zm0zp0zs0zw0zu0z\ t0zs0zr0zq0zp9zo9zn8zm7zl7zk0zj0zi0zh0zg0zf0zd0zb0\ z`0zZ0zX0zW0zU0zS0zQ0zO0z } frm:SliceJulibrot2a {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=real(p5+9) } END PARAMETER FILE=========================================

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FOTD 13-07-07 (Slip-Sliding Along [7])
by Jim Muth 13 Jul '07

13 Jul '07

FOTD -- July 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: For today's fractal excitement I combined 4 negative parts of Z^(-1.3) with 0.25 negative part of Z^(-5.2) and added (1/C). The resulting parent fractal is a north-south string of large bays, with a prominent 'fan' opening east along the positive X-axis. Today's image is located in some fractal debris on the northern outskirts of the fan. Just to be different, I rendered the scene with the outside set to 'tdis' and the inside a brilliant bluish white. I named the resulting image "Slip-Sliding Along", though I have long since forgotten why I chose such an apparently inappropriate name. Despite the awkward name, I rather liked the image, so I decided to rate it at a respectable 7. The calculation time of a little over 2-1/2 minutes on the not-quite-supersonic P4-2000 machine is brief enough for all but the most impatient fractalists. But the impatient and patient alike will be pleased to totally forget such a mundane task as calculating a parameter file. The finished image has already been calculated and has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may instantly and thoroughly be enjoyed. A near perfect day prevailed here at Fractal Central on Thurs- day, with blue skies, puffy cumulus clouds, low humidity, and a temperature of 81F 27C. This satisfied all but the hardest to satisfy. The fractal cats, ever easy to satisfy, spent most of the day waiting for the local chipmunks to appear. When the critters failed to show up, the cats satisfied themselves with their faces in their tuna dishes. My day was rather busy, which is why this FOTD is later than normal. Tomorrow will be slower, which can bode only well for the next FOTD, due to appear in 24 hours. Until then, take care, and pleasant dreams of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Slip-Sliding_Along { ; time=0:02:38.51-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.10648424717369200/+1.669336853849603\ 00/267025.4/1/130/1.10968281001599944e-007 params=-4/-1.3/-0.25/-5.2/0/0/0/0 float=y maxiter=2000 inside=255 outside=tdis periodicity=10 colors=000MKOjUIiQHjscjtdiufivgiwhctfZrdUpcPnaU`w`\ ZjgWXnTJvQ5jP5ZN5ZO7ZPAZQDYRGYSJYTMXVPbdUioZbg`V_b\ NSdGKf8Ch04k26h48e6Ab9CZBEWDGTFIQIKMMIMRGNWEN`COdA\ Pi8Pn6Qs3Rlfwl`wlUwkNwkGwj9wdBzYEzSGvLJrEMmBNk8Om4\ Po_CgVFiQIkKLmIVnFepDoqAusFzzKuzQssVpt_ntektjitpfu\ meqicmfbib`d_Z`WYXTWTPUOL_MgRKfUHWyvWstVmrVfoU`mTU\ jSePRq3Sk4Ud5WY6YR7ZL8`E9b7Ad0BsK9nPDiVHd`L_fPVlTQ\ rXLxaLpcMheN`hNSjOKmPCoQ3rQ5pQ7nP9kPCiPEgOGdOIbNL_\ lQXkXZjc`hkbgrdezf`qeWgdRYcMObGE`EVPBkCB`HBQNBETAE\ V9EX7EZ6E`5Eb3Ed2Ef0EiKCSdAAdAAcAAcAAbAAbAAaAAaAA`\ 9APHGCQMJQOQPRXOTcNWjMYqL`yKctLYoMRjOK`OSQP`XPPcOD\ f_Blp8my5ms6ll8keAkZBjSDiLFhEHdJF`ODXTBTZ8VYAXXC_W\ EaVGcUIjRKiQJkOInLHoJGrEFtBEv8Dw4Bu4Bq4Cl4Ch4Dd4E_\ 4EV4FQ4G5ug9mhDeiHYjLQkPIlTAmX1ogQQso0v_7zKFyIDxGA\ vE8uC5s92sC4tG7tK9uOCuSEvWHv_JwcMmiMcoNTvOUsPVpQWm\ RXjSYfUGSNy7hrMXk`LkYKuuz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 12-07-07 (Zexpe All The Way [5])
by Jim Muth 12 Jul '07

12 Jul '07

FOTD -- July 12, 2007 (Rating 5) Fractal visionaries and enthusiasts: For today's fractal we return to the Zexpe fractal so named by Lee Skinner. We explore it as it appears at a height of epsilon (2.718...) levels up the log ladder. At this slight height the parent fractal resembles a twisted cubic Mandelbrot set with an unusually intricate large bud where the western valley should be. Today's image is located in the east valley of a larger midget on a filament extending from the intricate large bud. I named the image "Zexpe All The Way", which is a reasonably accurate description of it. I rated it at an average 5 because the image is the second Zexpe fractal to appear in the past few days, and repeats never bring fractal satisfaction. The parameter file is lightning fast. It finishes in only 23 seconds on the recently retired but still quite functional P2000 which I am reconfiguring to run Fractint as efficiently as possible. An equally convenient way of viewing the image is to go to the FOTD web site and view it there. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 86F 30C and cloudy skies, the heat was not too bad here at Fractal Central on Wednesday, but the humidity was sky high, which made it as oppressive as the past couple days. The fractal cats ignored the heat but kept watch for the chipmunk or maybe two that have been scampering around the yard for several days now. My day was decidedly busy. Thursday will be the same. The next FOTD will appear in 24 hours. Until then, take care, and don't get lost in fractal complexity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_All_The_Way { ; time=0:00:23.23-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 periodicity=10 center-mag=-1.22969648826291200/+0.345960913903965\ 50/13434.19/1/-70/-4.92854923539454148e-011 params=2.71828182845905/0/2.71828182845905/0 float=y maxiter=1600 inside=0 logmap=32 colors=000eFUfGVgHWhIXiJYjKZkL_lM`mNanOcoPepQgqRir\ SksTmtUpuVsvWvwXxxYzy_z0HCCMKNRRZWZi`eVQWGGMA6DKBE\ UFFcKGhOHmTIrXJvaKzeLzhJscIrYHcNGAIOUDWKHaJLgRPlZT\ rfXwf5lMJMPHQRFTUDWWBZZ9a`7dc5ge4je3ke2me1nVShKrbJ\ naJkaIhaId`Ia`HZ`HW`GS_GP_GM_FJ_FFZECZE9ZE6ZJ5VO4S\ T4PY3Mb2Jg2Gd6LaAQZEUWIZTMcQQgNUlKYqIau9Sj1I_n24k9\ 5hG6eM6bT7__8Xe8UaBSZEQWGOTJMPLKMOIJQGGTEDVOEYYE_g\ EaqEczEeuJdqNdmRciWce_bLr``cbXhaTlaPp`k73bOFUdQqZN\ kbQffS`iUWmXQqZNBeMIdMPcMVbLabLgaLn`5V08_7BcDDgJGl\ PJpVNMZMP_MS_MV_MX_M__Mb_Ld`Lg`Lj`Ll`Lo`Lr`UnPToQS\ oUSpZRpcRphQqmQqrPqvOrzOrzNszNszMszMtzLuzevzawzZxz\ VyzSzzOzzkzzhzzfzzczzazzZzzXzzUzzzzczzbzzazzIzzMzz\ PzzSzzVzzYzzYzzZzzZzz_zz_zz`zz`zzyzzrzzlzzfzzvzzqz\ zmzzhzzdzzczzbzzbzzbzzazzazzazzazz`zz`zz`zzyzzlzzn\ zzmzz8zzBzzEzzHzzKzzNzzQzzRzzRzzRzzRzzSzzSzzSzzSzz\ Xzz`zzczzczzczzczzczzczzc } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 11-07-07 (A Jolly Scene [5])
by Jim Muth 11 Jul '07

11 Jul '07

FOTD -- July 11, 2007 (Rating 5) Fractal visionaries and enthusiasts: I must once again apologize for the lateness of the FOTD. My excuse is that the weather was very hot on Tuesday and I felt lazy. It's really no excuse, but it is the truth. The image that I found when I finally mustered the energy to search is a scene in a valley of the Z^sqrt(2)+C Mandeloid as it appears a meager 1/2 level up the complex logarithmic hyper- spiral. This formula is one of my favorites. It is not as rich as its square, the classic Mandelbrot set, but there is only one fractal that can be generated by the formula Z^2+C, while the formula Z^sqrt(2)+C creates nearly an infinity of fractals, all different yet all strangely the same. I'll not try to describe the parent fractal, since it is so easily generated, but the image I found within it rather reminds me of a gala event, which inspired the name "A Jolly Scene". The rating of an average 5 says very little about the image. I did not put enough work into it to rate it any higher, and this type of image has been posted as the FOTD so many times that it has become hackneyed. The parameter file takes 9-1/2 minutes to run on the fast computer. On the slow machine it would take 45 minutes to finish. For convenience the parameter file has been calculated and posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 97F 36C and oppressive humidity here at Fractal Central, Tuesday was a day to be ignored. And indeed the fractal cats did ignore it. They concerned themselves with the chipmunks (I think there are two of them) that have been running around in the back yard grass. I concerned myself with work first and fractals second. The result speaks for itself in the parameter file. As always, the next in the series of FOTD fractals will appear in 24 hours. Until then, take care, and wait with bated but not abated breath. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Jolly_Scene { ; time=0:09:29.97-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.11710695179565920/+1.315337975141092\ 00/6925.211/1/45/9.0035527644527491e-011 params=1.4142/0/0.5/0 float=y maxiter=8000 inside=0 logmap=549 periodicity=10 colors=000S8CQ9DOAELBFJCGGCHEDICEJ9FK7GL5GM7JO8MP9\ PRASSBVUDYVE`XFbYGe_Hh`TkbYnccrecufewhbxi_ujXqjXnj\ WjjVfjXcjY_j_Wk`TkaPkcLkdIkfEkgAkj8oh7kf6gd6cb5_`4\ W_4SY3OW2KU2GS1CR19Q1AP1AP1AO1AN1BN1BM1BL1BL1BK1CJ\ 1CJ1CI1CI1CH1DG1DG1DF1DE1EE1ED1EC1EC1EB1FA1FA1F91F\ 91FB3GD5HE6IG8JH9KJBLKCMMENNFOPHPQIQSKRTLSVNTWOUYQ\ VZRW`TX_EIaUXcijexxgtthqqjnmkkjliilghlfgldglcflael\ `dlZdlYclWblValTalS`mQ_mPZmNZmMYmKXmJWmHWmGVmEUmDT\ mBTmASm8Rq2Pm7RiBTeGVaKXYOZUT`RXbNadJefFihBnj7rl4v\ n6to8soAroCpoEopGnpIlpKkpMjqOhqQgqSfqUdrWcrYbr_`ra\ _scZteXwggzi`zkTwmStnRtlQskQsjQsiQshQsgQsfQseQsdQs\ cPsbPsaPs`PsZPsYPsXPsWPsVPsUOsTOsSOsROtQOuPOvOOwNO\ xOPyMQzLRzJRzISzHTzFUzEVzDWzBXzAYz9ZzA_zC`zEazGbzI\ czKdzMezOfzQgzShzUizWjzYkz_lzamzcmzemzgmzimzkmzmmz\ mmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmm\ zmmzmmzmmzmmzmmzmmzmmzmmz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 10-07-07 (Gateway Aside [4])
by Jim Muth 10 Jul '07

10 Jul '07

FOTD -- July 10, 2007 (Rating 4) Fractal visionaries and enthusiasts: Today's image is another unfamiliar side view of the prominent north valley of the Mandelbrot set. It is sliced in a different direction and the slice is centered at a different point, but the valley still appears as a narrow slit. It may seem surprising that the valley still appears as a slit when such a different slice is made of it, but we must remember that the whole valley is a four-dimensional thing, and the sharp edges of it are actually two-dimensional surfaces, making the ways in which it can be sliced nearly infinite. Yes, I realize that it makes no sense to think of a flat surface as being sharp, but in 4-D space this is true. The cutting edge of a 4-D knife would be a flat surface of 2 dimensions. I could rate today's image no higher than a 4. It actually might be a little better than yesterday's everyday slice of the north valley, but it is the second consecutive view of the same thing, which knocks a point or two off its rating. I named the image "Gateway Aside" since it is a side view of the gateway to the north bud. The calculation time of 1-3/4 minutes is well within reason. In fact, it is almost as reasonable as taking a trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed GIF image there. A high temperature of 97F 36C made Monday unpleasant here at Fractal Central. The cats noted how hot it was on the other side of the window, then turned their attention to a chipmunk scampering through the grass in the yard. My day turned busier than expected when two small but unexpected jobs came in, but the rush vanished when fractal lady pitched in to help. The day ended with me finding the fractal that passes for today's FOTD. The next FOTD fractal will likely appear in 24 hours. Until then, take care, and live every minute. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Gateway_Aside { ; time=0:01:42.05-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new periodicity=10 center-mag=-1.55118/0/3.057878/0.4822/0/-23.863381\ 4029281019 params=0/152/2/0/-1.141/0.273/-0.12499/\ 0.649525 float=y maxiter=25000 inside=255 logmap=4 colors=000iOKhPLgQMfRNeSOdTPcUQbVRaWSaWT`XU_XVZYXY\ ZYYaZXd_Wg`VjaUmcUjdTgeSdfRcgTclRchPaeO_bMY_KWXJUU\ HSQFQNEOKCMHAKEAJ99IB9ID9IE9IG9IH9HJ9HL9HM9HO9HP9G\ R9GT9GU9GW9GX9GZ9F`9Fa9Fc9Fd9Ff9Eh9Ei9Ek9El9En9EoI\ QrQatYmvexxduxdsxdpxdnxdlxcixcgxcexcbxc`xbZxbWxbUx\ bSxbPxaNxaLxaIxaGxaEx`Bx`9x`7x`4x`2x`0xZ5wX9wWEvUI\ vTNvRRuQVuO_uMctLctJctIcsGasF_sUYhUYZUYMUYPUYRUYTU\ YVUYXUYZUY`UYbUVdUSfUOhULjTHlREnOBpM7rJ4tG0wH1vI1v\ J1vJ1uK2uL2uL2uM2tN2tN3tO3sP3sP3sQ4sR4rR4rS4rT4qU5\ qU5qV5qW5pW6pa6pb6ob6oc6oi7oi7nj7nk7nq8op7no7mn7lm\ 7kl7jk7jj7ii6hh6gg6ff6ee6ed6dc6cb6ba5a`5`_5`Z5_Y5Z\ X5YW5XW5XV6YV6YU6YU6ZT6ZT6ZS6_S6_R7_Q7`P7`O7`N7aM7\ aL7aK7bJ8bI8bH8cG8cF8cE8dD8dC8dDBbDEaDG_DJZDMXDOWD\ RUEUTEWREZQEaOEcNEfLEhKFiLGiLKiMUiMciMejNgjNijNkjO\ mjOokOqkPskPukPvkQwlQxlQylRzlRzlRzlQzlPzlOzlOzlNzl\ MzlLzlLzlKzlJzlIzlIzmJzpK } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 09-07-07 (Gateway to the North [5])
by Jim Muth 09 Jul '07

09 Jul '07

FOTD -- July 09, 2007 (Rating 5) Fractal visionaries and enthusiasts: Yes, the FOTD is a little late again today. I decided to take it easy on my day off. But a fractal was found, and here it is, better late than never in all its semi glory. I named the image "Gateway to the North". Actually, that's what it is. In today's image we have a side view (from above) of the valley of the large north period-3 bud of the Mandelbrot set. I found little in the image that I could consider above average, so I rated it at an average 5. The image is not a perturbed Mandelbrot set, nor is it a Julia set. It is an oblique slice of the 4-dimensional Julibrot figure. The actual orientation, as shown by the imag(p1) para- meter, is about 1/3 of the way from the Parabolic orientation toward the Elliptic. A good bit of stretching in the vertical direction was necessary to give the image reasonable proportions. Almost all of the 3-minute calculation time is spent calculating the few lines in the center that consist of 'inside' stuff, where the calculation almost comes to a halt. This slowness is due to the extreme maxiter of 350,000. As always, the image is or soon will be posted on the FOTD web site for instant viewing. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was a bit too warm to be absolutely perfect here at Fractal Central on Sunday. But it came pretty close to perfec- tion. Much sun and a temperature of 93F 34C made water sports the activity of choice. For the fractal cats, the activity of choice was sleeping and eating. My day was notably lazy, which I hope does not show too much in the fractal. The next FOTD will appear in 24 hours. Until then, take care, and ease that stress with a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= GatewayToTheNorth { ; time=0:03:09.88-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=0/0/4.65/0.3987 params=0/32/2/0/0/0/\ -0.12499/0.649525 float=y maxiter=350000 inside=0 logmap=4 symmetry=yaxis periodicity=10 colors=000iOKhPLgQMfRNeSOdTPcUQbVRaWSaWT`XU_XVZYXY\ ZYYZZX__W_`V`aUacUadTbeSbfRcgTdlRchPaeO_bMY_KWXJUU\ HSQFQNEOKCMHAKEAJ99IB9ID9IE9IG9IH9HJ9HL9HM9HO9HP9G\ R9GT9GU9GW9GX9GZ9F`9Fa9Fc9Fd9Ff9Eh9Ei9Ek9El9En9EoI\ QrQatYmvexxduxdsxdpxdnxdlxcixcgxcexcbxc`xbZxbWxbUx\ bSxbPxaNxaLxaIxaGxaEx`Bx`9x`7x`4x`2x`0xZ5wX9wWEvUI\ vTNvRRuQVuO_uMctLctJctIcsGasF_sUYhUYZUYMUYPUYRUYTU\ YVUYXUYZUY`UYbUVdUSfUOhULjTHlREnOBpM7rJ4tG0wH1vI1v\ J1vJ1uK2uL2uL2uM2tN2tN3tO3sP3sP3sQ4sR4rR4rS4rT4qU5\ qU5qV5qW5pW6pa6pb6ob6oc6oi7oi7nj7nk7nq8op7no7mn7lm\ 7kl7jk7jj7ii6hh6gg6ff6ee6ed6dc6cb6ba5a`5`_5`Z5_Y5Z\ X5YW5XW5XV6YV6YU6YU6ZT6ZT6ZS6_S6_R7_Q7`P7`O7`N7aM7\ aL7aK7bJ8bI8bH8cG8cF8cE8dD8dC8dDBbDEaDG_DJZDMXDOWD\ RUEUTEWREZQEaOEcNEfLEhKFiLGiLIiMKiMMiMOjNQjNSjNUjO\ WjOYkO_kPakPckPhkQmlQrlQvlRzlRzlRzlQzlPzlOzlOzlNzl\ MzlLzlLzlKzlJzlIzlIzlHzlG } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: Queshun
by jackoftradez＠comcast.net 08 Jul '07

08 Jul '07

. I just purchased ubuntu linux; I am going to buy a new system soon (there will be 6 PC's in my house now) and as soon as I get it, format the HD to lose vista f'n shmista, and install dual boot with Win XP and Linux. I am doing this cause I wanna learn Linux and hopefully dump MS altogether eventually. Queshun is: Is XFractint (fractint for linux) as good as DOS fractint? Anyone here have experience with it? How does it compare? Assuming I develop confidence with linux (of course), is it worth it to use xfractint then or should I continue with DOS? Any comments welcome. Thanx. JoTz .

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FOTD 08-07-07 (Zexpe Minus Zexpe [6])
by Jim Muth 08 Jul '07

08 Jul '07

FOTD -- July 08, 2007 (Rating 6) Fractal visionaries and enthusiasts: The Mandeloid that is created by the formula Z^(epsilon)+C is known as the 'Zexpe' fractal. It was given this name by Lee Skinner about 15 years ago. In today's fractal I have added to the 'epsilon' aspect by calculating the formula as it appears epsilon levels down the logarithmic ladder. I'll not describe the overall shape of the parent fractal, since it is quite easily created, but I will tell that today's scene is located very near the negative X-axis, in the area where the fractal splits apart. I named the image "Zexpe Minus Zexpe" and rated it at a 6. The calculation time of a very brief 34 seconds is true on the P2000 machine. It would be difficult to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image there any faster than this. A perfect summer day prevailed here at Fractal Central on Saturday. The blue skies, cooling winds, low humidity and a temperature of 84F 29C were perfect for any outdoor activity. Unlimited fractals made conditions pretty good indoors also. The fractal cats enjoyed the fractals, then asked for their treats. The next FOTD, whatever it may be, will appear in 24 hours. Until then, take care, and if an absolute vacuum is nothing, can it then be said that 'nothing' has an existence? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_Minus_Zexpe { ; time=0:02:10.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.67800738206661360/-0.001884972090448\ 18/2.453478e+012/1/112.364403452269812/0.145951271\ 887285572 params=2.71828182845905/0/-2.71828182845\ 905/0 float=y maxiter=650 inside=0 logmap=46 periodicity=10 mathtolerance=0.05/1 colors=000cplamn_jpYgrWdtUavSZxRWzPTxOSvMRtLQrJPpI\ OnGNlFMjDLhCKfAJd9Ib8H`BHXDITGIPIJLKJHNKDPK9RU6OcC\ LmIhwLzzPhzUZtYdobjvfimiieliYoiQriItfJndJhaJc_KYXK\ SVKNZOOaSPeWPh_QzbRzfRzjSznTzqTzhXz__zRbVIeN9hG1kD\ 2eB3_84V65P36J16E1AH1EJ1IL1LN1PP1TR1XT1_V1cX1gZ1j`\ MiTfhM`cTWZ_QUfLPmGTtKVuPWvUXwZZxc_yh`zmbzrczvdzzL\ zzPzzSzzVzzYzz`zzczzfzzizzlzzozzkzzhzzezzazzZzzWzz\ SzzPzzMzzJzzRzzPzzNzzLzzJzzHzzFzzDzzCzzFzzIzzKzzNz\ zQzzSzzVzzXvz_rzbmzdhzgcziZzhUzfPzeKzdFzcEzcFzcFyc\ FxcKwcPwcTvcYucbucfsccqcapcZncXmcUkcSjcPhcNfcKecIc\ cFbcD`cA_c8TcAMcBGcC9cD3cE8cIDcLIcPNcSRcVTcXUcYVcZ\ Xc`YcaZcb`cdacebcfUccLcaCcZ3cX2cZ2c_1da1eb1fd0ge0h\ g0ih4ji7kjBlkEmkInlLomPpnSqnWroZspbtqeuqavnZwkVxhS\ yfOzcLz`IzYEzWBzT7zQ4zN1zL9zIGzFNzDUzAaz7hz5oz2vz0\ wz2wz4wz6wz8wzAxzCxzExzGxzIxzKvzOuzRtzVszYrzaqzdpz\ hozknzomzrmzpQzVhzefzgdzi } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 07-07-07 (My Lucky Day [7])
by Jim Muth 07 Jul '07

07 Jul '07

FOTD -- July 07, 2007 (Rating 7) Fractal visionaries and enthusiasts: The parent fractal of today's evaporated image was created by subtracting 12 parts of (1/Z) from 6 parts of Z^(-3), and adding straight C. This parent consists of little more than a scepter- like rod in the center of an empty circle. Today's scene is located in some of the finer intricacies on this scepter. The entire scene has been evaporated by raising the bailout to 10^(100) and rendering the remaining all-inside stuff with the inside option set to 'bof61'. The result is the rather striking image that appears as today's Fractal of the Day. Since the date is an already lucky 07-07-07, I rated the image at a 7 to add to the good luck. Then I named it "My Lucky day" to insure good luck. Nothing has gone wrong yet today, so I guess my lucky charm is working. The parameter file takes 4-3/4 minutes to run on the fast P2000 computer. On the slow P200 machine, it would take 25 minutes to finish. The best way of all to see the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the already-calculated finished image there. Perfect conditions prevailed here at Fractal Central on Friday, both inside and out. For some unknown reason, the fractal cats forgot their mischievousness and behaved like saints. In addi- tion, the weather was perfect, the commercial work was light, and the fractal is above average. The big task will now be to have a repeat on Saturday. The next FOTD will appear in 24 hours. Until then, take care, and look at old things from a new direction. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= My_Lucky_day { ; time=0:04:44.45-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.28284102770218480/+0.276661028159501\ 90/9635452/1/2.5/8.02023048460109855e-008 params=-12/-1/6/-3/0/1e+100/0/0 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000lDQnAQq7Rs4Rt1Tu2Ru3Qu3Pu4Ov5Nv5Mv6Lv6Kv\ 7Jw8Iw8Hw9Gw9FxAExBDxBCxCBlCryD9yE8yE7yF6yF5pN6hV7\ _b8Sj9It9Kq9Mo9Ol9Qj9Rh9Te9Vc9X`9YZ9_X9aU9cS9dQ9fN\ 9hL9jIhkG9mE9oB9q99r79n68k68h68e68a67Z57W57T57P56M\ 56J56G46C459456453456Go04526737958Q69D8AE9CGADICEK\ DFLFGNGHYHJRJKfKLUMMWNNYKGcOOZSWUWcP_kKbrG`nF_jEYg\ DXcCV`BUXAST9RQ8PM7OJ6oGIpKJpNJqQJqUJqXJr_JrbJrfJs\ iJslJsoJtpHuqFurDvsBwt9wu7vrAvpCvmEukGuhIufKucNtaP\ t_RtXTsVVsSXsQ_sNarLcrIerGgrEipFhoGhnHhmIhlJgkKgiL\ ghMggNffOfePfdQfcReaSe`Te_UeZVdYWdXXdWYdVZbU_aT__S\ `ZR`XQaWPaUObTNbRMcQLcOKdNKdMNaKP_JRYITWHVUGYRF_PE\ aNDcLCeJBhGAjE9lC8nA7p86pC7pF7pI8pL8pO9pR9pU9pXAp_\ ApbBpeBphBngDlfFkeHidJhcLfbNdaPc`Ra_T`ZVZYXYXYWW_U\ VaTUcRTeQSgORiMQkLPmJOoINqGMsFMtXw0Yv1Zv2_v3`v4av5\ bv5cv6du7eu8fu9gu9huAiuBjuCktDltDmtEntFotGptHqtHor\ KnpNlnPkmSikUhiXfgZefaiGP } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-07-07 (Just Peachy [5])
by Jim Muth 06 Jul '07

06 Jul '07

FOTD -- July 06, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal formula takes 3 parts of Z^(-1.5) and adds 0.9 part of Z^(-4.5) before adding (1/C) to produce a parent fractal that vaguely resembles a Mandelbrot set rotated 180 degrees. Perhaps the most unusual thing about this parent fractal is that like so many fractals with 2 negative exponents of Z, it has a 'fan', but the fan opens out toward the west rather than the east. For a half hour I searched this backwards fan for a sign of midgets before I concluded that it has none. I then turned to the much more promising area at the east side of the parent fractal, where after a brief search I found the midget that lies at the center of today's image. I rather like the peach color surrounding the midget. This is why I named the image "Just Peachy". I rated it at a 5, which is FOTD average. The image's parameter file takes 1-1/2 minutes to calculate on the speedy P2000 computer. It would take about 9 minutes on the slower P200, which as it nears 11 years of age is still running Fractint. The best way to view the image is to forget all this parameter file stuff and go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-calculated image is posted for instant and total gratification. Heavy clouds and occasional rain marred the Thursday weather here at Fractal Central. The fractal cats were more concerned in catching a fly that had gotten inside than they were in the outside conditions. My day was rather busy, but still under control. The next FOTD is due in 24 hours. Unless something unforeseen comes up, it will appear as scheduled. Until then, take care, and if the world is an illusion, are fractals also illusory? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Just_Peachy { ; time=0:01:34.09-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.473661593883163/+0.4775981387907711/\ 1.267474e+008/1/35/-2.83189545778606e-006 params=3/-1.5/0.9/-4.5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=148 periodicity=10 colors=0006AA9AACAAFAAIAALAALAAQAAQAAUAAVAAYAAZABa\ BCcCDfEGiFJmGLnKKnNKnQKnUKnXKn_JnbJnfJniJnlJuuCnoJ\ gjQ`dXU_cOViPWfPUcQS`QQYQOXQMWQK2QI3TJ4WO5ZT6aY7gh\ 4db7aXAZRDXMFUGIRALP5NMBMJHMGNMDTLAZL7dL4iK5jLgkMz\ kNzlOzmPzmQznzznzzozzpzzpzzqWzrXzrYzsZzzZzs_zl`Nf`\ Q_aTTaWNbZGba9cc3cb6`b8ZaAXaCU`ES`GQ_IN_KLZMJZOGYQ\ EYSCYP9ZM7ZJ5_F2ZHCYFKXDRXBZW9eV6mXBfYEg_Gh`JjbLkc\ OldRmfTogWpiYqj`rlctj`rk`rkarlarlarmbrmbrncrncrocr\ odrpdrqesnfqkhnz6nz9nzDozGoyJpyMqyQqyTryWryZsxbts`\ rnZphXncVlYSjTQhNOfIMdCJbIOdIRcHUcHWbHZaGaaGd`Gf_F\ i_FlZEoYFnXHmVJlTKkRMjPOiNQhLRgJTfHVeFXdDYcB_b9aa7\ c`5h7GfFMdNTbV_ePSfSRgUPhXOjZNkaLlcKmfJnhHpkGqmFrp\ DsrCuuAspDsnFrkHriJqfLqdMpbOp_QqYSrVUsTVtRXuOZvM`w\ JbxO`yUZzZXzdVzcUzaTz_SzZQzXPzVOzUNzSLzQKzPJzNIzLG\ zKFzIEzGDzEBzGBzIAzL9zN8zP8zS7zU6zW5zZ4zX6zY8zZ9z_\ Bz`CzaEzbFzcHzdJzeKzfMzaS } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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The Old Post-Processing Fractal Art Discussion
by Paul N. Lee 05 Jul '07

05 Jul '07

Greetings, Over the past few days, there have been some interesting conversations on the "Orbit Trap" blog <http://orbittrap.blogspot.com/>, with such topics as: Take It to the Limitations -- Terry Wright (July 01, 2007) The Myth of the Post-Processing Bias -- Damien Jones (June 28, 2007) A Dream of Post Post-Processing -- Terry Wright (June 26, 2007) Why I don't use Ultra Fractal -- Tim Hodkinson (June 23, 2007) Whether one agrees or disagrees has been an issue amongst those creating fractal images for many years now. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 05-07-07 (A Fractal Basin [5])
by Jim Muth 05 Jul '07

05 Jul '07

FOTD -- July 05, 2007 (Rating 5) Fractal visionaries and enthusiasts: Due mostly to my laziness, the FOTD image is 2 hours late. But it's no problem. The FOTD for July 06 will appear on schedule in around 22 hours. The parent fractal of today's image is an un-spectacular thing that results when an unlikely but very critical amount of Z^4, (that amount is 0.4699315), is subtracted from Z^3. This parent appears as a Mandelbrot set rotated 180 degrees, with a huge open triangular-shaped area beyond East, or in this case, West Valley. Today's scene is located in some extra decorations that lie on the main (in this case the positive) stem of the parent. The trip back out to the parent fractal is quite interesting, but with an image maxiter of 15000, it is rather slow. I rated the image at a 5 and named it "A Fractal Basin", which was the only thing I could think of at the time. The image calculates in under 6 minutes on the fast P2000 machine. It would take around 1/2 hour on the worn-out P200 machine. The fastest and easiest way to see the image is to pay a visit to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. But before visiting the site, give Paul a bit of time to calculate and post it. The weather here at Fractal Central on Wednesday left much to be desired. The clouds hung heavy all day, while occasional showers of rain wet the pavement and dampened the local fire- works displays scheduled for this evening. The temperature of 73F 23C was not quite warm enough for comfortable summer outdoor activities, and last and perhaps least, the continuing random firecracker explosions kept the fractal cats skittish. All this made for a less-than-ideal holiday, but fractals never take a holiday, and the next one will be along in a brief 22 hours. Until then, take care, and when things are going wrong, cheer up with an infinite fractal. They give endless fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Fractal_Basin { ; time=0:05:50.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.27508427101656600/0/3207997/1/90/\ -1.23373533611e-014 params=1/3/-0.4699315/4/0/0/0/0 float=y maxiter=15000 inside=0 periodicity=10 colors=000_IVaJWbJXcJYdK_eK`gLahLbiMcjMdkMemNfnNgo\ OhpOipMlqOjqPhqQfrRdrScrTasU_sWYsXXtYVtZTt_Ru`QuaO\ ucMvdKveJvfHwgFwhDwiCwkFxmHxoKxqMysPyuRzwUzxWzrRzm\ NN`LP_KQZKRYKSXKUWKVVKWUKXTKYSK_RJ`QJaPJbOJdNJeMJf\ LJgKJhJJP4RR5RU5RW5RY6R_6Rb6Rd7Rf7Rj3Si5Rh7Rh8RgAQ\ gBQfDQfEPeGPi7KgCNeHPcMRaRT_VWY_YWd_c`BebCgdEifFkh\ HmjIolKqnLhPakYVngPppJlnNhlRekVaiZZhaRgZSeXTdVUcTV\ aQW`OX_MYYKZXI_WGXVFUUFSTFPSFMRFKQFHPEEOECNEgYmW`m\ Kcm9fmBhcDiVFjLGkCIiBJgBKeBLdAMbAN`AOZAQY9RW9SU9TS\ 9UR8VP8WN8XM8ZNA`NCbODdOFfPGhPIjQJkQLmQNoROqRQsSRu\ STwTUyTWzTXwUUtVSqWQnXNkXLhYJeZGb_E__CX`9Ua7Rb5Pb3\ R`4TZ5UX6WW6XU7ZS8_R8ZQAZQCYQEYQGYQIXPKXPMWPOWPQWP\ RUSSUUSZWScYSh_TmaTmcTmeTmgUmiUmkUnmUooVpqVqsVruVR\ Kc7KcAKcDKcJKAKK9Lm8Mm7Nm6Om5Pm4Qm3Rm2Rm3Rf4Re5Rc6\ Rb7R`8R_9RYARXBRVCRUDRSERRFRPGROHRMIRLJRJKRILRGMPE\ LRFNSFOTGPUGQWHRXHSYHTZIU } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 04-07-07 (A Crooked House [4])
by Jim Muth 04 Jul '07

04 Jul '07

FOTD -- July 04, 2007 (Rating 4) Fractal visionaries and enthusiasts: Yes, I realize that I'm late again with the FOTD. But sometimes lateness is unavoidable. And with July 4th being a holiday, it could happen again. Today's image lies in the strange oversized parent fractal that results when various portions of Z^(-0.7071) and Z^(1.4142) are mixed and (1/C) is added. This symmetrical, figure-8 shaped parent fractal is actually a nested pair of fractals, one snugly inside the other. Today's image is located in the northern part of the inside fractal I named the image "A Crooked House" because of the pentagonal hole near the center, which is vaguely house-shaped if it is tilted. I rated the image at a 4 because such irregular holes are far too easy to find. The included parameter file takes 2-3/4 minutes to run on the P2000 unit. On the P200 it would take about 15 minutes. Calculation time becomes meaningless however when the image is viewed in finished form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But due to the holiday and the odd hour, give Paul some time to calculate and post the image. Perfect weather needs no description. Needless to say, this is what prevailed all day Tuesday here at Fractal Central. The fractal cats could not enjoy the perfection however, because they were skittish at the fireworks being set off in the area. My day was unusually busy, but at day's end the work was finished. The next FOTD will appear in 24 hours. Until then, take care, and be iterative. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Crooked_House { ; time=0:02:49.22-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-2.25760325099776300/+4.820367919049158\ 00/252.8343/1.1654/-159.24240168807313/2.444767542\ 20824821 params=1.75/-0.7071/0.525/1.4142/0/0/0/0 float=y maxiter=4000 inside=0 logmap=203 periodicity=10 colors=000TUdSTfSTgSSiRRkRRlRQnRQoUUpXXq_`rbcsegth\ jukmvnqwqtxtwywyzzzzuwznrwhlrbfmXacRWUKQKEKA8E8292\ 9HHFOWLViITcGSYEQSCPNANH8MB6L67O97QC7TF7VI8YL8_O8a\ R8dU9fX9i_9kb9mdDjfHghLejPbkT_mXYo`VqcTreVofW0gYjh\ Zgi`djabkc_ldYneVogSphQqjNrkKsmItnFuoDnnFhmGalHWkJ\ PjKJiLKeOLbQM_TMXVNUYOQ_PNbPKdQHgREiRBkMLjHViDdh8n\ g4wg7seApdDmbGjaJg_MdZPaXSZWVWUYTT`QRcNQfKOiHNlEMj\ IKhMIfQGdUEbYC`aA_e9gXGnONuGTwHPyILzJIyMHyOGyQGyTF\ yVEyXEx_DxaDxcCxfBxhBxjAxlAtiApfAmcAi`AfYAa_GYaMTc\ RPeXKfaGhgBjl7lr3mw4lv5lv6lv7kv8ku9kuAkuBjuCjuDjtE\ itFitGitHitsQCpRImROkRThSZfSccSiaTnZTtXTyZUt_Up`Uk\ aUgbUcdVZeVVfVQgVMhVIiUHiTGiSGjRFjQEjPEjPDkOCkNCkM\ BlLAlKAlJ9lJ9WKEFKJKMOPOTUQXZSacTfhVjmXorZtw_xvZuv\ ZrvZouZluZiuZftZctZ`tZYsZVsZSsZPsZM`ScILuMKrPJpSJn\ WIlZIjaHgdHehGckGanF_qFYoHVnITlKRkLOiNMhOKfQHeRFdS\ DeWGeZJeaMUXXUWZUW_TVaTVb } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Patch 6 to Fractint version 20.4
by Jonathan Osuch 03 Jul '07

03 Jul '07

Patch 6 to Fractint version 20.4 is now available on the Fractint Developer's web sites: www.fractint.org or www.fractint.net This is unrelated to Rich's port. What's new: Added Per Image Settings to the formula parser. When initially selected from the fractal type formula screen, the symmetry and any per image settings are enforced. The per image settings will be saved to PARs and GIFs, and can be changed from the appropriate screen. The possible values for per image settings are the same as the parameters that appear in PAR files, with the exception of 'params='. Params can't be set in the per image settings section, because they get set to zero when the formula is parsed. The formula syntax looks like this: mandel(symmetry)[per image settings] { per pixel settings: iteration bailout } For example: IslandOfChaos(XAXIS_NOPARM)[float=y function=sqr/sin/cosxx] {; Jonathan Osuch ; Generalized by Tobey J. E. Reed [76437,375] ; Try p1=0, p2=4, fn1=sqr, fn2=sin, fn3=cosxx ; Note: use floating point z = p1, x = 1: IF (x < 10) z=fn1(z) + pixel ELSE z=fn2(z) / fn3(z) + pixel ENDIF x = x+1, |z| <= p2 } Jonathan

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FOTD 03-07-07 (Serendipitous Atom [7])
by Jim Muth 03 Jul '07

03 Jul '07

FOTD -- July 03, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image was brought about by a formula that subtracts 0.12 part of Z^(-10) from 1.075 parts of (1/Z), then adds (1/C). The parent fractal is a grossly oversized hourglass-shaped Mandeloid with a prominent East Valley but no negative stem. Several outzooms are needed to fit the whole fractal onto the screen. Today's scene is located in a minor valley near the point where the main negative stem should be attached. I named the image "Serendipitous Atom" and rated it at a 7. I think B. Mandelbrot called the midgets 'atoms'. On the fast P2000 machine, the image takes a little over 6 minutes to run. It would take about 1/2 hour on the slow P200 unit. The completely-rendered image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect days here at Fractal Central are growing frustrating, especially when one is too busy to enjoy them. The fractal cats agree, and showed their displeasure by getting into a spat over who got to lie on the large scratching post. My day was acceptable; tomorrow will likely be acceptable also. The following day will be a holiday. The next FOTD will appear in 24 hours. Until then, take care, and though fractals have a beginning, they are without end. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Serendipitous_Atom { ; time=0:06:16.42-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.79730874098083380/+2.231117699749411\ 00/6.734321e+010/1/-135/-0.001136 params=1.075/-1/-0.12/-10/0/0/0/0 float=y maxiter=3600 inside=0 logmap=521 periodicity=10 colors=000LaWLaVLbTLbSLcRLcPLdOLdNLeLLeKLfJLfHLgGL\ gFMaINWKOQMPKOQERR8TS3VS3XR3VQ3UP3TO5SN7RM9QLCOKEN\ JGMIILHKKHMJGPHESGCVEAYD9_C8ZD7YE6XF5WF8XGAYHCZIE_\ IH`JJaKLbKNcLPdMSeMUfNWfOYgP`hPbiQdjRfkRhlSkmTmnTo\ oUqpVspVtk_ugcucgv_kvWowSswOwuMqtKksIerG_qEVpFToGS\ oHRnIQnJPmKOlLNlLMkMLkNKjOJiPHiQGhRFhREgSDzdCfUBzV\ AeW9pX8dX7aV9_UBYSDWREUPGSOIPMJNLLLJNJIOHGQFFSCDTA\ CV8AX69Y47_26a05b17c29c3Bd4Dd5Fd5He6Je7Le8Nf9PfARf\ ASgBKgCWgDOhE_hFXhFciGeiHgiIijJkjJljKkiKjiKiiKihKh\ hKghKfgKfgKegKdfKcfKcfKbfKaeK`eK`eK_dKZdKYdKqcKdcK\ WcKWcJYbJ_aJU`IK_IUZIcYHiXHkWHmVHzUJzVLzVmzjPkWRjW\ TjWViWWUXYUX_gXafXcfYeUY0KPiUYjcZlbZnbZpaZr`_t`_v_\ _wi_uYZsWYqUYoSZmRckPhiNmgLreJwcIwaGw_EwYCwWBw`Fwe\ IwjMwmPurSswTqwTowTmwUkwUiwUgjWeiYch_afa_ecYdeWbgU\ aiS`kTZmUYoVXqVVsWUuXTwYSxYRzZQzZQzZPz_Oz_Oz_Nz_Mz\ `Mz`Lz`Kz`KzaJzaVzDQzOLzY } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 02-07-07 (Curvilinearly Cute [8])
by Jim Muth 02 Jul '07

02 Jul '07

FOTD -- July 02, 2007 (Rating 8) Fractal visionaries and enthusiasts: On Sunday I combined various negative parts of Z^(-1.2) and Z^(-7.5) to create a many-bayed parent fractal with a prominent 'fan'. Then, just to be nasty, I evaporated the entire fractal by raising the bailout radius to one-googol. Today's image is located in a minor valley of a nearly round hole at the edge of the 'fan'. I rated it at an 8, since I consider it the best FOTD image in a number of days. I named the image "Curvilinearly Cute", which means nothing but sounds artsy. The calculation time of 9-1/2 minutes on a P2000 is within reason. The 45 minutes required to calculate the image on a P200 is questionable. Viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is the most reasonable. The weather was actually a bit too chilly here at Fractal Central on Sunday. The high temperature of 73F 23C was more like September than July. But the sky was mostly clear and the clouds spectacular. It's too bad the fractal cats do not enjoy weather. My day was pleasant enough, but the next 2 days will be busy due to the Independence Day holiday on Wednesday. The next FOTD is due in 24 hours. And it actually might make it. Until then, take care, and ponder fractal anthropomorphism. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Curvilinearly_Cute { ; time=0:09:37.98-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+4.69475969668417600/+0.065011949033959\ 90/6.661456e+008/1/32.5/-6.041896423465698e-005 params=-5/-1.2/-0.8/-7.5/0/1e+100/0/0 float=y maxiter=5000 inside=bof61 periodicity=10 colors=0002Td2Td2TdDhf000GNaHQ_JTZKWXLZWMaUNdTOgSY\ HhXGgWFfVFeUEdTEcSDbRCaQCaPB`OB_NAZM9YL9XK8WJ8WQ7S\ W7Ob6Kh6Gf5Me4Sd3Yb2ca1i`0o_0ua2rb4pc6me8kfBhgDfiF\ djHakK_mMXnOVoQTnTSnWRmZQmaPmdOlgNljMkmLkpKkrKmgMn\ YOpNPqDRr3Sn6Rk9RhCReFQbHQZKQWNPTQPQTPNVPQSOSQOUOO\ WMNYKN_INbFMdDMfBMh9Lj7Ll5Ln3Li2Ke2Ja2JX1IT1HP1HK0\ GG0FC0FH5EMADRFDWKC`PBeUBjZAoc9th9riDqjGpjKokNmkRl\ lUklYjm`hmdgngfnkeondoqWepOWpGMo8CoAAnB9mC8lD7lE5k\ F4jG3iH2iMAfRIcWP``XYecVjkSnrPdkTWdXNZ`MVYLSWKPUKM\ SJJQIGOHDMAAASOIlaGmnFwjIkgLkcOj`RjXUiUXhQ_hNbgJeg\ GhfCkf9ng8mh8lh7ki7ji6ij6hk5gk5fl4el4dm3cn3bn2ao2`\ o2_aBYPKXBTV0aU1YW4VY6SZ9P`BMaAOdAQgARjATmAUpAWsAX\ uDaqFfmHkjKobMsVPwNRzFSyHSwJSuLSrNSpPSmQSkSShUSfWS\ cYSaZS_`SYbSVdSTfSSgUQeVOcWMaYK`ZIZ_GXaEWbCUcASe8R\ f6Pg4Nh2Mf1Pd1Rb0Ta0V_0XY0_W0aV0cT0eR0gQ0iS0gT1fV3\ dW5cY7aZ9`_BZaDYDEeEHcFKb } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 01-07-07 (This Way Out [Not Rated])
by Jim Muth 01 Jul '07

01 Jul '07

FOTD -- July 01, 2007 (Not Rated) Fractal visionaries and enthusiasts: The weather on Saturday turned out so beautiful that we decided to take a day off to enjoy the central Pennsylvania countryside. This explains the lateness of the first FOTD for July '07. And speaking of the FOTD, it's a scene showing a midget in the fractal that results when the formula Z^(1.1)+C is iterated 11 levels up the complex logarithmic hyperspiral. The explosion-like features around the little midget have been seen many times before, but the midget itself, with its arrow- head shape, is kind of a rarity. This is why I chose it to be today's FOTD. Unfortunately, a fractal that is found so quickly can hardly be given a fair rating, so I gave today's image no official rating. I did name it "This Way Out" however, when I noticed the resem- blance to a directional arrow. The calculation time of 9-1/2 minutes on the P2000 computer is not too outrageous, and the completed image can always be seen instantly on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather prevailed all day Saturday here at Fractal Central. The high temperature was 79F 26C, the sky was blue and decorated with puffy cumulus clouds, which cast their shadows on the surrounding hills. The humidity was low, and the wind was gentle. But the fractal cats were out of sorts, due to too little attention. With another perfect day due on Sunday, they will probably be out of sorts again. My day was actually quite enjoyable. Tomorrow will likely be a repeat. The next FOTD is due in about 22 hours, but I would not be surprised if it is late again. Until then, take care, and if the world is an illusion, is the illusion real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= This_Way_out { ; time=0:09:26.29-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.67928797718223780/+1.367001809932602\ 00/2.719357e+008/1/-55/3.97147505216619012e-005 params=1.1/0/11/525 float=y maxiter=36000 inside=0 logmap=516 periodicity=10 colors=000HbkIYjIUiJPhJKfKGeKBdK7cJKoJWzNTuRRpUPlY\ NgaLbdIZhGUlEPoCLsAGy7Bv8Ct8Dr8Ep8Fn8Gl8Hj8Ih9Jf9K\ d9Lb9L`9MZ9NX9OVAPTAQRARPASNATLAUJAVG9THAVHBXHBYHC\ _HDaHDbHEdIFeIFgIGiIHjIHlIInIJoJJqJKrJLtJLvJMwJNyJ\ NzKMyLMxMMwNMvOMuPMtQMsRMrSMqTMpUMoVMnVKqVMnVNkVPh\ VQeVSbVT`VVYVWVVYSVZPV`MVaKVcHVdEVfBVg8Vh6XcCZ_I_W\ OaSUcN_dJefFkgBqfAoeAndAmc9lb9ka9j`9i_8gZ8fY8eX8dW\ 7cV7bU7aT7`S6ZR6YQ6XP6WO5VN5UM5TG4TL5SP5ST6RX6R`7R\ d7Qh8Qi9Xl8Qo7Jr7Du66x60wB2vG4vL5uQ7uV8t_AwaAtcBqd\ CoeDlgEjhFgiGejHblI`mJYnKWoLTqMRrNOsOMtPNrUOpYOnaP\ lfPjjQhnOftQgrRgpTgoUgmVhkXhjYhhZhf`ieaicbiadi`ejZ\ fjXhjWijUjkSlkRmkPuxInkOh_TaNZJElWBch9Vt7NqIQnSTlb\ WilZexZgy`hzaizcjzdkzflzgmzhOzPQzRRzTTzUUzWWzYXzZZ\ z`_zbazcbzedzgezhgzjhzljzmkzomzqnzrczoTzlIzi7zg8zh\ 8zh9zi9zi9ziAzjAzjBzjBzkBzkCzkCzlDzlDzlDzmEzmEzmFz\ nFznFznGzoGzoFzqGzoGznCzm } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 30-06-07 (Fractal Nursery [8])
by Jim Muth 30 Jun '07

30 Jun '07

FOTD -- June 30, 2007 (Rating 8) Fractal visionaries and enthusiasts: It has come to my attention that a rumor is spreading about water in the basement of New Fractal Central. There is a bit of truth to the rumor, though the situation is not nearly as bad as it is back at Old Fractal Central. At old F.C. the basement takes on up to 2 inches of water at every heavy rain -- once or twice a month it seems. But the new F.C. basement has gotten wet only once in the 1-1/2 years we have owned it, and it took a really torrential downpour to put a 1-inch deep puddle in the back corner by the laundry. (When searching for a house, some compromises must be made. A perfectly dry basement was one of the compromises we made.) But there is no compromise in the quality of today's image, which rates a solid 8. The image is an evaporated one that lies in the parent fractal that results when 5 negative parts of Z^(-1.4142) are combined with 0.5 negative part of Z^(-8.7) and (1/C) is added. I named the image "Fractal Nursery" when I had the impression of new fractal images continually being generated in the depths of the scene. The included parameter file calculates in only 1-1/3 minutes on the P2000 machine. It would take around 6 minutes on the P200 unit. But time becomes irrelevant when the image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mostly cloudy but otherwise quite pleasant day with a temperature of 77F 25C here at Fractal Central on Friday went un-appreciated by both man and cats. The man was still busy clearing the work back-up; the cats were cranky over too little attention. The back-up will be cleared by tomorrow evening; the next FOTD will appear shortly thereafter. Until then, take care, and when in doubt, figure it out. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Nursery { ; time=0:01:20.87-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.6820810418/-1.972108182/188631.5/1/\ -75/1.4925312658703449e-007 params=-5/-1.4142/-0.5\ /-8.7/0/1e+100/0/0 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000upkunjtwzwjiwhixfhxdhybgy`gtWcoS_kOWfKSb\ GOb_RbrUZjUVbUSVUONUKFUH7UJGTKOSLXRNdQOmPPuPRrTTpX\ xm`WkdXhhZfl_cpaatb_wYavTbvOdvKevMcsObqPaoR`mTZjUY\ hWXfXWdUUcSTbPSbNRaLPaIO`GN`DM_BK_90K6IZ4HY2GY4Ka6\ Pd8UgAWjCYnE_qGatIcwKezJgzJizJkzImzJmzKmzKmzKmzCmz\ 5mzJmzWmzUdzT`cSXZRTUQPPZMZbIZaEZ`AZV6ZZ3ZJ7UIB8HE\ AGIDFLFEPIDSKCWNBZPDcWFhbHmhJroKvuMkvOavQSwRIwTHsV\ GpXFlZEi`EebDbdCZeBWgASiAPk9Lm8Io7Eq6Br68k79e79_7A\ U7AO8BI8BC8C68CI_hHakOWdVQZ`KSgEMm9GgGCaM9WS5RY2NU\ 9JRFFOLBLRDMTEMUFMWGMXHNYIN_JN`KNaMOcNOdOOfPOgQPhR\ PjSPkTPlRNjPMhNKfMJdKIcIGaGF_FDYDCWBBV99T88R66P45N\ 34M67M9AMCDMEGMHJMKMMMPMPSMSVMUYMX`M_cMafM`cN_aNZ_\ OYYOXWPWUPVSQVQQXPPZPO`OOaONcNMeNMfMLhMLjLKkLJmKJo\ KIpJHrJHtIGuIGtHJsGMsGPrFSrFVqEYqD`pDcpCfoCioBlnAo\ nArm9um9whCxcExZHxUJxPMxKOxFRxATxFWwJZvNauRdtVgsZj\ rbmqfppjsonvnrxmsvlttltrk } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 28-06-07 (Very Strange Midget [5])
by Jim Muth 29 Jun '07

29 Jun '07

FOTD -- June 29, 2007 (Rating 5) Fractal visionaries and enthusiasts: With the work that did not get done yesterday still behind, today's discussion will be another brief one. For today's FOTD I brought out a formula I have not used in almost 10 years. The formula mixes (-z)^n and (+z)^n to create fractals that are a combination of negative Z and positive Z. In today's image n=1.198. The parent fractal is not much to look at, but it has two most unusual buds on the northeast and southeast shore lines of its main bay. Today's image shows a peculiar midget on a very straight filament extending from the northeast bud. I named today's image "Very Strange Midget", which is a statement of fact, and rated it at a 5. It's a rather slow image, taking 19 minutes on the fast P2000 machine. Luckily, the image, which I sent on ahead, has been posted on the FOTD web site for instant viewing at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another warm muggy day was eased by a heavy shower in the afternoon. The fractal cats watched the rain for a few minutes, then started playing with each other. Meanwhile, I tried to catch up on the commercial work. The next FOTD, the last of the month, will appear in 24 hours. Until then, take care, and what ever happened to the Grand Unified Theory? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= VeryStrange_Midget { ; time=0:19:08.88-SF5 on P4-2000 reset=2004 type=formula formulafile=plusmin.frm formulaname=MandelPMnew passes=1 center-mag=+6.69744631152213400/+7.204848758458367\ 00/2.496024e+007/1/-2.5/9.51742186047765948e-007 params=0/1.198/0/0/0/0 float=y maxiter=45000 inside=0 logmap=1754 periodicity=10 colors=000jPpkOnkOllNklNilMgmMemLdnLbnK`nKZoJYoJWp\ IUpISwKPpIRiHTcFVXEWQDYKB_DAa58a79b8Ab9BbABbCCbDDb\ EDbFEbHFbIFcJGcKHcMHcNIcOJcPKcRKcSLcTMcUMdWNdXOdYO\ dZPd`QdaQdbRdcSddSdbTeaUe_VeZWeXXeWYeUZfT_fR`fQafO\ bfNbfO`dPZcPXaQV`RSZSQYSOWTMVUKTVHSVFQWDPXBNY9MX5M\ Y7LZ8K_9K`AJaBJbDIcEHdFHeGGfHGgJFhKFiLEjMDkNDlPCmQ\ CnRBoSApTAqV9rW9sX8tY8uZ7v`6wa6xb5yc5zd4ze4vc7saA0\ AU0AU0AV0AW0AX0AY0A_0Aa0Ac0Ae0Af0Bg0Ch8Di7Cg7Cf7Bd\ 7Bc7Bb6A`6A_6AZ69X69W59V58T58S58R57P47O47N46L46K46\ JA5GG4EM3BS29Y16a04`25Z45X65V85TA5RC5PE5NG5LI5JK5H\ M5FN5HQ7IS8JU9KXBLZCN`DOcFPeGQgHRjJTlKUnLVqNWsOWxN\ XuPYrQYpSZmTZkV_hW_fY`cZ`a`aZabWcbUdcRfcPgdMidKjeJ\ lgIpeImcKjaMg_OdYQaWSZUUWSWTQYQO_NMaKKcHIeEFgAHiBJ\ kBKmCMoCOqDPsDRuESwEUyFWzFXzGZzG_zHazHczHdzIfzIgzJ\ izJkzKlzKnzLozLqzMszMtzNvzNzzMwzNuzOszPpzQnzRlzRjz\ SgzTezUkzrkzsjzsiztiztjzr } frm:MandelPMnew {; Jim Muth z=p2+10^(-100), c=pixel+(p3), a=real(p1)+1, b=imag(p1): z=a*((-z)^b+z^b)+c, |z| <= 250 } END PARAMETER FILE=========================================

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FOTD 28-06-07 (A Harmless Scene [6])
by Jim Muth 28 Jun '07

28 Jun '07

FOTD -- June 28, 2007 (Rating 6) Fractal visionaries and enthusiasts: Due to a violent thunder-storm and power outage on Wednesday here at Fractal Central, today's FOTD is late and the discussion is brief. The image is a scene in the fractal that results when various negative portions of Z^(-1.5) and Z^(-6.5) are mixed together and (1/C) is added. Though I found the image almost instantly, I still consider it worth a rating of a 6. The name "A Harmless Scene" shows that I do not expect too much from it. The calculation time of a brief 47 seconds makes rendering the image from the included parameter file a breeze. But why not avoid the wind by viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The 99F 37C heat and high humidity here at Fractal Central on Wednesday were broken in the evening by a violent thunder-storm, which knocked down trees, put out the lights and flooded the fractal basement with an inch of water. The fractal cats did not like the crackling lightning and thunder at all, and ducked under the bed for the duration. Since I enjoy wild weather, I enjoyed the storm, but I fear it will be far less fun cleaning and drying the basement. If nothing else goes wrong, the next FOTD will appear on schedule. Until then, take care, and keep your fractals dry. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Harmless_Scene { ; time=0:00:47.06-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.413662005/-0.143826291/3421.436/1/\ -12.5/-2.4858830272e-011 params=-6/-1.5/-0.3/-6.5/\ 0/525/0/0 float=y maxiter=1600 inside=0 outside=tdis logmap=20 periodicity=10 colors=000wqOupQspSqpTopVmpXkoYio_go`eobcodane_ngY\ niWnjUnlSmmQmoOmqMmrKmtImuKktMjtOitQhsRgsTfsVesXcr\ Zbr_ara`qc_qeZqfYqeXodXndWmcWlbWkbVjaVh`Ug`Uf_UeZT\ dZTcYSaXS`XS_WRZVRYVRXXQWZQV`QVbQUdQUfQThPSjPSlPRn\ PRpPQrPQqRTpSWoTYnU`mWclXekYhjZki_mhapgbsfcuedxeez\ ffxgfwhguigtjgrjhqkholhnmilniknjiojhpjfqjerjcribqh\ cqfdqddqbeq`fqZfqXgqVgqThqRiqPiqNjqLjpMhoMgoMfnMen\ NdmNcmNalN`lN_kOZkOYjOXiOViOUhPThPSgPRgPQfPOfQNeQM\ eQLdQKdQJePKfPLfPMgPNgONhOOiOPiOQjNRjNRkNSlNTlMUmM\ VmMVnMWoLXoLYpLZpLZlJXiHWfGVcET`CSYBRV9PS8OP6NM4LJ\ 3KG1JD0IMKSVc`bvi`sf_pcZnaYkZXhWVfUUcRT`OSZMRWJQTG\ ORENOBML8LJ6KG3JE1IG3HI5HJ6GL8GM9FOBEQDEREDTGDUHCW\ JBYLBZMA`OAaP9cR9dS8bT8`T8ZU8XU8VV8TV8RW8PW9TS9WOA\ _LAbHBfDBiACm6Cp3Dq4Dq5Dr5Dr6Dr6Ds7Es8Es8Et9Et9EtA\ EuBEuBFuCFvCFvDFvEFwEFwFFwFEuJEtMDsQDqTDpWCo_CmbBl\ fBkiBjlbGK`HJZIJYJJ_bFkjK } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 27-06-07 (This is a Seahorse [3])
by Jim Muth 27 Jun '07

27 Jun '07

FOTD -- June 27, 2007 (Rating 3) Fractal visionaries and enthusiasts: Yesterday's image took us on a trip to four-dimensional hyperspace, where we saw East Valley as it has never been seen before. Today's image takes us to Seahorse Valley hyperspace for an equally odd view of things. To start, I must apologize. I realize that the image holds little artistic value, which explains the abysmal rating of a 3, but it does have a modicum of mathematical value, and it calculates fast as lightning, in a mere 10 seconds, which makes it a better value than yesterday's image. I named the image, "This is a Seahorse" -- a self-explanatory title. It is indeed a seahorse, or at least part of one, though I doubt that a biological seahorse could ever be sliced to give such a section. And there are also many small near-perfect seahorses scattered throughout the scene. Yes, the past two images do indicate that I am feeling a spate of writing about the fourth dimension coming on. To me, the fourth dimension is one of the most tantalizing mysteries, one that I never grow tired of pondering. But for now, the best way of ending today's discussion is to remind the FOTD readers, wherever they may be, that today's completed GIF image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 95F 35C, and lots of haze and humidity, Tuesday was far too muggy for comfort here at Fractal Central. It was a good day to stay indoors and work in air-conditioned comfort, which is pretty much what I did. The fractal cats did the same, except when they started worrying me for their evening treats. Luckily, Fractal Lady served the treats, while I was lost in hyperspace. The next FOTD, probably another low-rated trip to Julibrot hyperspace, will appear here in 24 hours. Until then, take care, and why are we ourselves? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= This_is_a_Seahorse { ; time=0:00:10.28-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2a passes=1 center-mag=-0.00786577872582554/+0.029190503024156\ 81/340.4706/0.05931/79.6471443563626167/-55.931342\ 8683244211 params=90/23/-2/36/-0.744416/-0.121192/\ -0.744416/-0.129912/0/0 float=y maxiter=2500 inside=0 logmap=24 periodicity=10 colors=0003lw5mw9nwDowGpwKqwNrwRswUtwYuw`vwdwwgxvi\ vujutktsmrrnqqoppqnormnslnpjmmiljhkggjdfiaeh_dhXcg\ UbfRaeO`dL_cIZbGYbKXaOW`RV_VU_ZV`XUaVTbTScRRdPQeNP\ dLNZLMVKKPKHKJGLKFMKEMKFOLHQLKSKMUKOVKRXJTZJW`JYbO\ XgJ_cFYcBWc7Wc7V`7PW7IK4KK7KKAKKCKKFKKIKJKKMNKUPK_\ SKcVKdaKcgKblKbpLarS`tY_wcZzhYznWzqRaoKVlEPmGOmLNm\ PMmTMmXLm`KmeJmiJmmImqHmuEnzHlyJjyMhxOgxRexTcwVbwY\ `w_ZvbXvdWvfUuiSukRunPtpNtrMtoLrmLpkKnhKmfJkdJiaIg\ _IfYIdVHbTH`RG_OGYMFWKFUIFTCOZ7Xd1fh2di3bj3`k4Zk5X\ l5Vm6Tn7Rn7Po8Np8Lq9JqAHrAFsBDtCBtC9uD7vD6vC9nBBfA\ D_9GS8IK8KD9II9GM9EQACUABYA9aB7eB5i82nB4mE5mH6lK7l\ N8lQAkTBkWCkZDjaEjdGigHijIimJhpKhwGerLhmQkiVmhUkhU\ jhTihTggSfgSegRcgRbgRafQ_fQZfPYfPXeOVeOUeOTeNReNQd\ MPdMNdLMdLLeMMdLKcKJbKIaJG`JF_IEZICYHBXHAZGD_GG`GI\ aGLcGNdGQeGSfGVhFXiF_jFakFdmFfnFioFkpFntBvqFpoJjmN\ dkR_iVUgZOebIagEOWwMXwKYw } frm:SliceJulibrot2a {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=real(p5+9) } END PARAMETER FILE=========================================

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FOTD 26-06-07 (Elephant Eruption [3])
by Jim Muth 26 Jun '07

26 Jun '07

FOTD -- June 26, 2007 (Rating 3) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley area of the Mandelbrot set. Or more accurately, it is a scene in the area of the four-dimensional Julibrot fractal that corresponds to East Valley. The Julibrot fractal is the 4-D object that would be formed if all the Julia sets were stacked into a single pile. Curiously, the same 4-D object would be formed if all the perturbed Mandelbrot sets were stacked into a single pile, though the object would be oriented in a totally perpendicular direction. Actually, the direction of today's slice is closer to the Julia orientation than the Mandelbrot orientation. It is rotated from the Julia direction in only two of the four possible directions, one rotation of 20 degrees and one of 60 degrees. The East Valley area of the Mandelbrot set is known as Elephant Valley for a good reason. It is filled with elephants -- an endless parade of them marching out of the valley, circling the main bay, and finally losing their identity completely as they near the large north and south period-3 buds. Curiously, the elephants are not to be found in the Julia sets of that area, but they do exist in most of the odd-direction slices between the Mandelbrot and Julia directions. In today's picture we see 4 proto-elephants. The third from the right is the best formed, but even this one leaves much to be desired. To the left of the best elephant is a tall skinny fragmentary one, and at the left edge of the frame is a bit of a trunk without an elephant attached. At the right edge of the frame is a hump that looks like the rump of a large elephant. Actually, this is only a hump. No head or trunk exists beyond the right edge of the screen. I named the image "Elephant Eruption", since the elephants kind of seem to be appearing out of nowhere. When it came time to rate the image, I could give it a rating no better than a miserable 3. It takes more than some twisted elephant parts to make a good fractal. Hey, I can't help it if I like elephants! The calculation time of 4-2/3 minutes is true on the fast P2000 machine. On the slow old P200 unit, the image would take around 23 minutes to finish. But calculation time will be no problem for those who visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the completed image there. Monday here at Fractal Central was a little too hazy, warm and humid for weather perfection, but the fractal cats enjoyed the temperature of 84F 29C anyway. And the commercial work was slow enough for me to enjoy the fractal elephants. The next FOTD will appear in all its glory in 24 hours. Until then, take care, and maybe fractals are real, while we are not. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant_Eruption { ; time=0:05:41.59-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2a passes=1 center-mag=0.106307/0.591404/315.1321/0.01126/101.\ 178118038552896/76.1753564045048677 params=70/90/30/90/0.28/0/0/0/0/0 float=y maxiter=16000 inside=255 logmap=17 periodicity=10 colors=000bZz`bzZeyXhyVkyTnxRqwPtsNwsMxrMvoMsmMokM\ jhMdeM_aMVZMRWMOUMMSMKRMIRNHPNJOOLOOOQPSQPURPXSQ_T\ SaTXcVaeVffVkgUphTuiSpjRkkQflPdkPYkOSjNQiMQhLQhKQh\ JQhJWdHaaGfZFlVDrSCwPBvUBuYBtaBseBriBqmBqqBnnAB7Ck\ kAhhAeeAbbA__AXXAVUASRAPOAMLAJIAGFADCAA9Az9lw8em8_\ b8TT7NI7GFKbEI_DHXCGUCERBDOACLAAI99F88CszSnuQioOdi\ M_dKWZJRTHMOFHIDCCBbTE_RDYPDWODUMCRLCPJCNICLGBJEBG\ DBEBACAAA8Abrd_naYk_WhYUeWSbUQZSOWQMTOKQMINKGJIEGG\ CDEAACEzzDyzCstCmnBghBabAVX9PR9JL8DFzowxowtowpowlo\ wioweowaowYowVowRowNowJowFowBowXowVowTowSowQowPowN\ owMowKowIowHowFowEowCowBow9owzowzowrowjowbowVowNow\ FowFowEowDowCowBowBowAow9ow8owSowNowIowDowZowTowOo\ wIowDowGowFowEowDowDowCowBowAowAow9ow8owUowSowRowP\ owOowNowLowKowJowHowGowEowDowCowAow9owwoweowPowDow\ CowCowBowBowBowYowZowZowZowZowZowZowZowZowZowZowZo\ wZowZowZowZowZowZowZorVQS } frm:SliceJulibrot2a {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=real(p5+9) } END PARAMETER FILE=========================================

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FOTD 24-06-07 (Lake Disappointment [6.5])
by Jim Muth 25 Jun '07

25 Jun '07

FOTD -- June 25, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image came about when I subtracted 0.4 part of Z^(2.25) from 0.8 part of Z^(-1.25) and added C to create a parent fractal that consists of two main Mandeloids, the southern one far out of proportion, the northern one looking like a moth- eaten sweater. Avoiding these obvious features, today's scene is located in a trail of debris that stretches between the Mandeloids. I was undecided whether to rate today's image at a 6 or a 7, so I split the difference and rated it a 6-1/2. The name "Lake Disappointment" came about when I failed to reveal all the potential I thought the fractal had in it. I think there are actually several lakes of this name around the world, though at the moment, I cannot say where they are located. The calculation time of 1-1/2 minutes on the P2000 would stretch to 8 minutes on the old worn-out P200. But the fastest and most convenient way of viewing the scene in this technologically advanced electronic age is to go on-line to the FOTD web page at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and sit in awe of the image as it fills your screen. Another superb day graced Fractal Central on Sunday. Full sun, light winds and a temperature of 82F 28C can hardly be bettered for outdoor summer activities. I had my weekend's share of activity on Saturday however, so I took it easy all day Sunday, while the cats kept a sharp eye on us to be sure we would not leave them alone again all day. If things continue as planned, the next FOTD will appear in 24 hours. Until then, take care, and where does the light that illuminates the objects in our dreams come from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= LakeDisappointment { ; time=0:01:30.30-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.45779742812842340/-0.861568641122261\ 90/6.926184e+010/1/122.5/0 params=0.8/-1.25/-0.4/\ 2.25/0/0/0/0 float=y maxiter=1450 inside=0 logmap=165 periodicity=10 colors=000B8QGAUMCYREaXGeaIifJmgMnhOniRojTokVolYpm\ _pnbqodqpfqqkrnorrrswwwzzzzzzuuummmcccWWWWWWWWWWWW\ WWaTT_RRYSUUSXRS_NSbKXfHaiDfkAkw7svCpvHnkMkjQdgSYd\ UXaWV_YUY_SWaQUcPSzNQzMOzOczPhzQmzRrzSFSTDPUBLV9IW\ 8FRGEMOEHVDCbD7iDEaLKUSQM_WFfXJdYMbZQa_T_`XZ`_XabV\ bfUciSdmRepPesO_ncUisWhiXg_YgQZfG_f6adBbbGd`Ke_PfY\ UhWYiUbjTfkRhlPimNjnLlnJmoHnpGoqEqrCrrAss8utcvucwu\ cxtctscprclqcipceomanmYmmVlmUlwTkwTkwSjwRjiRheUgaW\ fZYeV_dRbcOdaKf`Gh_DkZ9mY5oX2qQGmKTjDef7rc8ob8la9i\ `9f_AdZAaYBZYBWXCUWCRVDOUDLTDJTSCaf6ju0rv2sv3sv4tv\ 5tv6tv7uv8uv9uwBvwCvwDwwEwwFwwGxwHxwIx3yYAvWGtUMqS\ SoRYmPcjNihLofKmaPkYTjUXhQagMeeIicEnbFr`Kv_PzYUxXZ\ wWcvUhuTmtSrsRvrPzpOzoNznMzmKzlJzkIzjHzi8zgIzhSzia\ zjkzjXzUIzEBzQEzZHzgJzpGzdDzUAzJIzOPzTWzYbzaKzV1zP\ LzMczKvzIWzM6zPIzXUzcnzgezjvzhtzkrznJzMczrjzqJz8Vz\ OfzbKz_`zhEzPSzZdzh6zK5zL } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 24-06-07 (Rainy Day [Not Rated])
by Jim Muth 24 Jun '07

24 Jun '07

FOTD -- June 24, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's FOTD is shamefully late. But I have an excuse. On Saturday morning the weather was so good that Fractal Lady got an uncontrollable urge to visit her old alma mater in State College, which is about 85 miles from Fractal Central. Our day was very pleasant though a bit too sentimental for my taste. When we got back to F.C. well after dark, we were exhausted. With no chance to create a new fractal last evening, I dredged an old one from the fractal bone yard this morning, and declared it FOTD for June 24. The image is a scene along the negative X-axis of the parent fractal that results when the formula Z^(2.003)+C is iterated 10 levels up the log ladder. I could hardly give rating to a fractal that has been lying in the virtual dust for a year or two. But I did give it a name. I named it "Rainy Day" because I have been saving it for just such a day as yesterday. The included parameter file ran in 8-1/2 minutes on the old P200 machine. I estimate it would take around 1-1/2 minutes on the P2000. Those who do not consider calculating fractals from parameter files to be their cup of tea may view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> but because of the FOTD's lateness, Paul might not have a chance to post it for a few hours yet. Absolutely perfect weather prevailed throughout Central Pennsyl- vania on Saturday, making it a great day for nostalgia. The fractal cats greeted us eagerly when we returned, then promptly rushed to their food dishes. The FOTD for June 25 will appear on schedule in about 9 hours. Until then, take care, and keep the iterative faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rainy_Day { ; time=0:01:30.00-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.33533148191821700/+0.001624130111275\ 15/604124/1/95/-3.61649927851925845e-008 params=2.003/0/10/0 float=y maxiter=1750 inside=0 logmap=149 periodicity=10 colors=000CZeB_dA_d9`c8Rm7Um6Wm5Ym4`m3bm2fn1io0npE\ sqRxrQupQrnPolPmjOjhOggOdeNbcN_aMX_zcKvZKrUKmPKhKK\ cHKZEKUBKP9KK6II3GI1FJ2HK2IL2JL2KM2LN2MO3OO3PP3QQ3\ RR3SR3TS3UT4WT4XU4YV4ZW4_W4`X5bY5cZ5dZ5e_5f`5g`5hZ\ 7gY9fXBeWDdVFdUHcTIbSKaRMaQO`PQ_OSZOQcNThNVmNXrNZv\ N`zNbzNdzNfzNizNkzNmzNozNqzNszNuzNwzNyzMxzMwzmvSmu\ RmtQmsPmrOmqNmpMmpLmoKmnJmmImlHmkGmjFmiEmhDmiCmhDm\ hDmhDmhDmhDmhDmhDmhDmhDmhDmhDmhDmhDmhDmhDahDwhDvzD\ fhDghDihDjhDlhDml7mhDeeIYaON`QRZTUYVXXX_VZbU`eTbhR\ dkQfnPhmOilOikOikNijNiiNjiMjhMjgMjgMjlWepe`toWxyRv\ zTtzUrzVpzWnzXmzYkzZiz_gyaexbdwcbvd`ueZsfXqgWohWmg\ WjfWgeWedWccWabW_aWY`WW_WUZWUZWUYWUXWVWWWVWXUWYTWZ\ SW_RW`QWaQWbPWcOWeNWgMWiLWkKWmJXrI_rHbuFevHhwJkxLn\ yNqzPtzQwzSzzUzzWzzYzz_zz`zzbzzdzzfzzhzzizzjzzkzzl\ zzlzzmzznzznzzozzpzzpzznzzlzzjzzhzzfzzdzzczzazz_zz\ YzzWzzUzzizzhzzgzzgzzfzzf } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 23-06-07 (Almost a Minibrot [Not Rated])
by Jim Muth 23 Jun '07

23 Jun '07

FOTD -- June 23, 2007 (Not Rated) Fractal visionaries and enthusiasts: I was away at Old Fractal Central all day Friday, which explains the insignificant and hurried fractal for today. The image, if that's what it might be called, lies in the parent fractal that results when the formula Z^(sqrt(2))+C is calculated 123 levels down the logarithmic ladder. I named the image "Almost a Minibrot" because the little midget in the center looks surprisingly like a quadratic midget, even though its formula uses the square root of 2 rather than the number 2 itself. I gave the result no rating. The calculation time of 1-1/4 minutes is about all the time the image deserves. The best way to view the finished image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted. The weather was perfect all the way from New Fractal Central to Old Fractal Central and back on Friday. The old fractal cats were pleased to see me. They must have thought I had abandoned them forever. The new fractal cats, having missed their regular treat, were a bit sulky when I returned. But a later-than-usual treat eased their moods. The next FOTD will appear in 24 hours. Until then, take care, and make that big decision with confidence. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Almost_a_Minibrot { ; time=0:01:15.85-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-1.32580711928304300/-0.167967700359305\ 60/824.0658/1/62.5/-1.23373533611470521e-014 params=1.4142/0/-123/0 float=y maxiter=5000 inside=0 outside=summ periodicity=10 colors=000SBPTBOVCMWCKXCJYCH_DF`DEaDCbDBdCCfBCgACi\ 9Dj8Dl7Dn6Do6Eq5Er4Et3Ev2Fw1Fy0Fz0Fx1Iw1Lv1Nt1Qs1S\ r1Vq1Xo1_n1am1dl1fj1ii1kh1ng1pd8obEn`KmZRlXXkVbjYp\ lVlkThjQdjO`iMYiOWfPVcRU`SSYURVVQSXPPYNM_MJ`LGbJDc\ IAeH7iD4fG5dI5aK5_N6XP6VR6SU7QW7NY7DMUDFSB5ID9QEDY\ GHeHLlGKeGJ_FJUFIOEIIEHC6C2AF4EH6IJ8LMAPOCTQERY4WS\ G_MSdGchBn`LqTVsLcuObpRalU`gX_c_Z_bYVeXRq_3hWN`SfR\ CyTOzV_zXkzZwz`shbpSdmB_jCVhCRfCMcDIaDD_DAY89YB9YD\ 1U65WB9YFC_KGaOKcTBhgHfaNdXSbSY`NcZIiR4hV9hYDh`Ihc\ MhfQkbYsgvmZegQQXM6aHAfDDk8Hp4Km6Ok7Ri9VgAYdCabDd`\ FheImZGkTFjMDhGCgLHfQMeVQe_VddZdiccriYoh`mgckfeieh\ gdkjYpg`necmcflaij_liYohRplWrg_tbcvYgxTypBruIkyPjq\ RjjSicUiXVhQXhJYfIWeHUdHTcGRbFPaFOXGRTHUOHXKI_FJbB\ JdTbMov2ju4et6`t8XsASsCNrEJrFNmLRhRVdXZ_bbWhfRnoLy\ lMviNsgOpdPmaQj_RgXSdVTbXTaYT`ZS__SZdW_`SZYOZVLZRH\ ZODZJ9`LAZMAXNAWOAUQBSRBR } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 22-06-07 (Out of Balance [8])
by Jim Muth 22 Jun '07

22 Jun '07

FOTD -- June 22, 2007 (Rating 8) Fractal visionaries and enthusiasts: With its inadequate coloring, yesterday's FOTD showed what can go wrong with an evaporated fractal. Today's image is another evaporated one, but this time I put far more effort into the coloring, and the extra work has paid off. The image lies in the parent fractal that results when 2.72 parts of Z^(-2.7) are subtracted from 8.5 parts of Z^(-1.6). This parent is an oversized Mandeloid with X-axis symmetry, which has been rotated 180 degrees. It has a surprisingly large ring at the end of its main stem and an extra circular bay where its East Valley should be. Today's image lies on the northern shoreline of this extra bay. As the bailout radius of one-googol shows, the image has been totally evaporated, and the residue made visible by the 'bof61' inside fill, the fill that almost always works best with evap- orated images. And yes, there is a quadratic midget at the center of the image, but, being inside stuff surrounded by more inside stuff, it has almost vanished. I rated the image at an 8 because it actually seems to picture a real (meaning a 3-D onjective) object. I named the image "Out of Balance", though in this case it is not life that is out of balance, it is the elements of the image. The calculation time of under 3 minutes is not too bad, but an even better choice is to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mostly sunny, breezy and rather warm day here at Fractal Central on Thursday, with a high temperature of 84F 29C went un- noticed by the cats, who were more interested in watching for the baby rabbits that have been hopping around the yard, eating Fractal Lady's flowers. When the rabbits never showed up, the cats eventually lost patience and fell asleep. It thundered in the evening, but the rain never arrived. My day was about average. But tomorrow I plan on a trip back to Old Fractal Central to say hello to the old fractal cats, Thomas and Tippy, and pick up some more things I left there. I'll try to post the FOTD for June 23 on schedule, but there is no guar- antee. Until next time, take care, and how does one recognize the real reality when he meets it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Out_of_Balance { ; time=0:02:36.38-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.49734046783936980/+0.607634194530533\ 00/197902.1/1/-60/-4.51899531683785938e-009 params=8.5/-1.6/-2.72/-2.7/0/1e+100/0/0 float=y maxiter=1400 inside=bof61 logmap=yes periodicity=10 colors=00084N64L45K25I05H3AJ5EL7IM9MOCQPEURGYTIaUL\ eWNiXPmZRq_QtaPwcPzdOyeNxeNwfMwfMvgLugLthKthJsiJri\ IqjIqjHpkHokGnlFnlFmmElmEknDknDjoCioCioAbc8XT6QH4K\ 68O8CSAFWCJZEMbGQfIUiKXmM`qOctQaqR`oS_mTZjUXhUWfVV\ cWUaXS_XRXYQVZPT_OQ`MO`LMaKJbJHcHFcGCdFAeE8fD6fH5e\ K5eN5eR5dU5dX5d`5cc5cf5cj5bm5bp5bs5bV8e7BgEHjLNmST\ pZZreduljxspzrmwrktrhrrfordlrajr_gqXdqVbqT_qQXqOVq\ LSqJPqHNnIOlIPiIQgIRdISbITaIUiJVVJWTJXRJYOJZMJ_JG`\ HGaEKbCKc9Kd7Ke4Kf2Kq0Kq9OiHSiQWiY_jfcjnjmvoztijrh\ jqhjogjegjoeqkmwiejgdjfdjdcjcdjlbj`ijZajYajY`kY`lZ\ aniWlY`kY`jY`iY_hY_gY_fYVeY_dXZbXZaXZ`XZ_XYZXTYXYX\ XYWDEADBAD8ADAADBADCADDAADAJDKMEJVEIWFIZHH_IHbJGdM\ FfOFhQEkTDlVDnXCp_BraBvcAyfAmaGbbLXcQRdVLe`Ffe9gj3\ ho6Yl8OiADfC3cE4dF5dG6eI7eJ8fK9fMAgNBgOBhQChRDiSEi\ UFjVGjWHkYIkZJl_Jl`LhaNebPbcQ_dSXdUUeWRfXOgZLh`Iia\ EhaFgaGfaHeaIdaJcaKcaLbaM } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 21-06-07 (The Inside Supreme [7])
by Jim Muth 21 Jun '07

21 Jun '07

FOTD -- June 21, 2007 (Rating 7) Fractal visionaries and enthusiasts: It's either the longest day of the year, the shortest day of the year, or just another day exactly 12 hours long, depending on where on earth one lives. Here at Fractal Central, it's the longest day. The sun rises at 5:36am and sets at 8:42pm EDT, though the twilight begins shortly after 4am and lingers until 10pm. On the longest day of the year, it's only proper that the FOTD should be above average. And I think I have posted an above- average one. It's an evaporated scene in the parent fractal that results when 5.5 negative parts of Z^(-1.5) are combined with 0.5 negative part of Z^(-5.5) and (1/C) is added. An evaporated fractal is one in which all the exponents of Z are negative and which has such a large bailout radius that all the points are trapped. These fractals must be calculated with an active inside fill such as 'bof61' to avoid a totally flat blank screen. The drawback to evaporated fractals is their slowness. They are slow because they consist totally of 'inside' stuff. In today's case, the parameter file takes 24 minutes to calculate on the fast 2000 mhz machine. On the old 200 mhz work horse, it would take 2-1/2 hours or more. But I have sent the calculated image on ahead to Paul at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it will soon be posted for instant enjoyment. I named today's image "The Inside Supreme" because it's all inside. I rated it at a 7 because that's what I think it's worth. If I had put more effort into the colors, I might have been able to rate it at an 8. Wednesday was absolutely perfect here at Fractal Central. Every aspect of the weather was in the middle of the comfort range. The fractal cats celebrated the perfection by finding a strong shaft of sunlight and resting in it until it moved out of reach. In my department, the commercial work was about average, but I had an exceptionally efficient day, and finished in notably less time than usual. The next FOTD will appear in 24 hours. Until then, take care, and don't be haunted by fractal entities. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Inside_Supreme { ; time=0:24:28.59-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.42867296563386100/-1.702442513543234\ 00/3.132496e+008/1/-143.5/-0.000168553882913445585 params=-5.5/-1.5/-0.5/-5.5/0/1e+100/0/0 float=y maxiter=5500 inside=bof61 periodicity=10 colors=000qcppamo_jnYhnWemUblS`kQYjOViMThKQhINgGLf\ EIeCFdADc8Ac78d97dA7dC7eD6eF6eG6eI6fJ5fL5fM5gO4gP4\ gR4gS4hU3hV3hX3iY2i_2i`2ia2gg9flGerNdwTdlMdaGdRAdG\ 4dF4eF4eE4fD4fD4gC4gB4hB4hA4i94i94jA6jA7jA9kAAkABk\ ADkAElAGlBHlBImBKmBLmBNmBOnBPnBRnCSoCUoCVoCWoCYpCZ\ pC`pCapCbkB_gBXcAU_ARW9OS9LN8IJ8FF7CB797663644DA4K\ F5RK5XQ6cV6j_6pdBpUGpJKp8On9SlAVjAZiBbgBeeCicCmbDp\ `DtZEwYEvXGvWHvWIvVKvULvUMvTNvSPvSQvRRvRSuQUuPVuPW\ uOYuNZuN_uM`uLbuLcuKduKesJfqJfpJgnJgmIhkIhjIhhIifI\ ieHjcHjbHj`Hk_GkYGlXGlVGlTGmSFmQFnPFnNFnMEoKEoIEpH\ EpFEpEDqCDqBDr9Dr8DrAFsBHsCJsDLtENtFOtGQtHSuIUuJWu\ KXuM_sOaqQcoSemUgkWiiYkhZlfZleZldZlcZlbZlaZl`Zl_Zm\ ZZmYZmXZmWZmVZmUZmTZmSZnRZnQZnPZnOZnNZnMZnLZnKIrd2\ uy4sv6qs8oqAnnCllEjiGhfIgdKeaMc_OaXP`VRZSTXPVVNXUK\ ZSI`QFbOCdNAfL7hJ5jH2kG0ZL7MPDATJ5QJ1OJ7LOCISHFWNC\ _S9cX6ga4kNM`8bRtixsgurer } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 20-06-07 (Emergency Back-up [None])
by Jim Muth 20 Jun '07

20 Jun '07

FOTD -- June 20, 2007 (No Rating) Fractal visionaries and enthusiasts: The power was out most all afternoon here at Fractal Central, and there was also a sizable job to finish. As a result I had no time to find a worthy fractal for today. But this situation has been prepared for. I had a marginal fractal stored away for a rainy day, and today was that rainy day. I named the image "Emergency Back-up", though I gave it no rating. If I had had more time to work on it, I might have brought it up to a level worth a rating. The image lies in the parent fractal that results when 1/10th negative part of Z^(-6.2) is combined with 1 negative part of Z^(-1.2) and (1/C) is added. The included parameter file finishes in 2-1/4 minutes, about the same time it will take to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. A very hot and muggy day, with a temperature of 93F 34F here at Fractal Central on Tuesday was interrupted by a short but violent thunder-storm in the afternoon. The only bad effect on F.C. however was a power outage. The cats watched the excite- ment from their theater-seat window. The next FOTD will appear in 24 hours. Until then, take care, and be an eagle, not a slug. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Emergency_Back-up { ; time=0:02:17.45-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-1.68272471511077300/-5.720484837930027\ 00/1877591/1/85/1.81416267908823814e-006 params=-1/-1.2/-0.1/-6.2/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000TP7TQ7UR7UR7US7VS7VT7WU7WU7WV7XV7XW7VV6X\ W7YW8ZW9_WAaXBbXBcXCdXDfYEgYFhYGiYGkZHlZImZJnZKp_L\ q_Lr_Ms_Nu`Ov`P`YQ`ZQ``R`aS`bT`cU`dU`YX`U_ZRdYQaYP\ _XOYXOWXNUWMSWMPVLNVKLVKJUJHUIFTHDTHATG8SF6SF4RE2R\ D0QC0RD0RE0SE0SF1SF2TG3TG4UH5UH6UI7VI8VJ9WJAWKBWKC\ XLCXLDYMEYMFYNGZNHZOI_OJ_PK_PL`QM`QNaROaRPaSQbSQbT\ RbTScUTcUUdVVdVWdWXeWYeXZfX_fY`fYagZbgZch_ch_dh`ei\ `fiagjahjbijbjkckkclldmldnleomepmfqmfqlcnl`lkYjkVh\ jSfjPdiNaiK_hHYhEWgBUg8Sh5Rg6Qg6Qf6Qf7Qe7Qe7Qd8Qd8\ Qd8Qc9Pc9Pb9Pb9PaAPaAPaAP`BP`BP_BP_COZCOZCOYDOYDOY\ DOXDOXEOWEOWEOVFNVFNVFNUGNUGNTGNTHNSHNSHNSHNRJLRLK\ RMIROHRQGRREQTDQVCQWAQY9QZ7Q`6Pb5Pc3Pe2Pg1Ph0Pj0Nl\ 0Pk0Qk0Rk0Sk0Tk0Uk0Vk0Wk0Xk0Yj0Zj0_j0aj0bj0cj0dj0e\ j0fj0gi0hi0ii0ji0ki0li0ni0oi0pi0qh0rh0sh0th0uh0vh0\ wh0xh0zi0yh0yg1yf2ye2xd3xc4xb4xb5xa6w`6w_7wZ8wY9wX\ 9vWAvWBvVBvUCuTDSO6SO7SP7 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 19-06-07 (Siegel-Disk Sunrise [7])
by Jim Muth 19 Jun '07

19 Jun '07

FOTD -- June 19, 2007 (Rating 7) Fractal visionaries and enthusiasts: Yesterday's image showed Siegel Disks. Today's image wreaks havoc with those disks. Siegel disks are spirals that circle forever but never draw any closer to the center. Today's image not only changes the disks into star-like objects, it totally obliterates the lower halves of them. This craziness came about when I duplicated yesterday's image but rotated the orientation of the slice about 2 degrees from the Julia direction of the Julibrot. To do this it was necessary to use a special Julibrot formula which rotates the slices. I think this is the first time I have used this particular formula in an FOTD image. BTW, the Julibrot is the 4-dimensional assemblage of all the Julia sets and all the perturbed Mandelbrot sets. In four-dimensional space, all kinds of crazy and unimaginable things can happen, and today's image is one of them. In today's image, the lower half of the remnants of the Siegel disks is obscured by a grossly enlarged and distorted view of the part of the Mandelbrot set that corresponds to the Siegel disks. I named the image "Siegel-Disk Sunrise" because that's what it reminds me of. Then I rated it at a 7 to reward myself for the extra 10 minutes or so I spent working on the colors. The calculation time of 1-3/4 minutes can be sidestepped by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Monday proved to be a lovely sunny day here at Fractal Central. True, the temperature of 88F 31C could have been a bit cooler, but the humidity was not all that bad, and a gentle breeze kept the air stirred. All in all, the fractal cats approved. My day was busier than I would have liked, but the work was finished in plenty of time for the day's FOTD to be completed. The next FOTD will appear in 24 hours. Until then, take care, and choose wisely. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SiegelDisk_Sunrise { ; time=0:01:49.35-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2a passes=1 center-mag=0.0337456/0/0.9146906/1/-37.5 params=88.512/1.442/92.381/-1.198/-0.390541/-0.586\ 788/0/0/-5/0 float=y maxiter=3600 inside=bof60 logmap=yes symmetry=none periodicity=0 colors=00000006C0AE0CG5EIAGKFIMKKOPMPUPQZSMcVIhYLm\ _OraQwcTweWwfYwg`whbwicwjdwkewlfwmgwnhwoiwpjwqkwrl\ wsmwtowuqwvsxwvyzzzzzKqgIpeGnbEm_CkYAjV8hS6gQ4eN2d\ K0cILWOeOTYIOQCKIMAMIIQEQXCWbAah8fn6lt4qvEpwNpyWoz\ dotXgoP`iHTdAMLPb2csrkhqfmqbqqYvqUzkVseVl_VeUVZOVS\ IVLCVE7V8IPBTJDbEGm8Iw3Kp2Gj2Dd2A_8BVEBQJBLPBGVBB_\ B6eB1jBHd9W_7kV5zQ4mZC`fKOnSBvZGtYKrYOpYSnYWlY_jYc\ hYggYbb_ZYaVTbROdMJfIEgE9iA5j99e9Da9HX8LT8PO8TK8WG\ KXDVXBeX9pX7`0lmT5lR3TYqYWcEB6HMIJXTLgdNroSlpXfqa`\ qeVrjProJssDswJhzOZoNSeNMWNGVH_UCsXIl_NfaT_dYUgcNi\ hHgjGflGemGdoFcpFbrFasFaaMaLSa4Y_7cYAiWCnUFtTHySNr\ RTkQYdPcYOhRNnKNsEUoI`kMfgQ9wBJh9SU7`F5i04zaDvXKrT\ QnPWjLafHgbDmZ9sV5yYAu`EqbIneMjhRfjVcmZ_obXnXTnRPn\ MMmGImBFm5Bm08hF7dT6`f6Xh5Tj5Ql4Mm4Io4Fq3Bs38t3GnA\ OhHWbOcXVbUWbSWaPWaNWMXU7eSMaP`ZMoWJj_RecY`geWklSn\ sOlmKkhHibDhYAfSimelqfoug } frm:SliceJulibrot2a {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=real(p5+9) } END PARAMETER FILE=========================================

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Re: Siegel Disk Fractal
by jackoftradez＠comcast.net 19 Jun '07

19 Jun '07

. Loox like my "amoeba" animation <g> http://www.fractal-animation.net/vid/amoeba.zip .

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FOTD 18-06-07 (Siegel-Disk Fractal [7])
by Jim Muth 17 Jun '07

17 Jun '07

FOTD -- June 18, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image of a Julia set shows a Siegel disk fractal. My math encyclopedia implies it is the only Siegel disk fractal, though it is obvious that a mirror image fractal exists at C=-0.390541+0.586788i. The Siegel disks are the flat but irregular concentric rings filling the 'inside' part of the Julia set. They were made visible by the 'bof60' inside fill. These rings are actually the limiting case of spiral arms that have tightened to infinity, where they will take an infinity of revolutions to converge an infinitesimal bit closer to the central point. The spiral arms have become true closed curves, just as the circumference of a circle of infinite radius on a flat plane becomes a true straight line. I know of no special significance in fractals that contain Siegel disks, though I feel that there must be something of value in them. Why else would they have earned an entry in the math encyclopedia? One thing certain is that today's fractal contains some interesting sub-images. If I find anything of unusual worth, I'll post it as tomorrow's FOTD. I rated today's image at a 7 for its mathematical interest. The name I gave it -- "Siegel Disk Fractal" -- is its description. The calculation time of 37 seconds is true on the P2000 machine. On the P200 it would take about 2 minutes. On the FOTD web site, however, the image has already been rendered, and is posted for instant viewing. To see today's image as well as many past images, direct your browser to: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy the enigmatic Siegel disks. With a high temperature of 88F 31C here at Fractal Central, and with the sunshine dimmed by haze, Sunday was too summery to be considered perfect. But it was good enough to satisfy those who had planned Father's Day outings. At the same time, the indoor climate was good enough to please the fractal cats. And the work was slow enough to give me a restful day, which is all I can ask for on a Sunday. The next FOTD will appear in 24 hours on the same mailing lists and on the FOTD web site. Until then, take care, and be alert for flying Siegel-disc saucers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SiegelDisk_Fractal { ; time=0:00:37.41-SF5 on P4-2000 reset=2004 type=julia passes=1 center-mag=0/0/0.9363296 params=-0.390541/-0.586788 float=y maxiter=1500 bailout=4 inside=bof60 logmap=yes symmetry=origin periodicity=no colors=000K75Y35k05yiJiaNUUQV`YWgdXnkXtrZhe_YTaNGb\ C4cT8dhCexFbiR_WbXInU4y`DjgLXnUIta4_lDGvMN4J_EDlO7\ Sfublwmrxo_cpIKtVBwg2dMAN1IO7IPCIQHIQ9VQ2fGHU6WIWS\ StP`lNfeLlZJrSIwbGhmFUxEFszZEiZ7Yb1NegdA_YGTSMMMSF\ GXGO_2kLGWbHceJYEIdT6d89fHChQFjZ4Qn9YkDdiKlsoJmYYj\ IJuHTpHbkeDaXPcP`eNl1LkCKkNIkYzpOjnVWlagxH`tOUqVNn\ a5mvBlnb`5XcFSfPMiZTd5QfFNhPKjZq07gCHZOQQ_ZkIz`SsR\ am62fCKiERhFYhGdgY0mrahanrVmnOljMtiJohh61ZKGQYUEkX\ GkbSm05I4MMkKViIch9KOCUVFbaTXaNdd_Y6TbJNgWL42KFDJQ\ NI`YJjXIk_IkbHkemYCXdShKQVYZIKtajORkYogIYiV8GlBOjD\ WiFchY8D5fTBi`ya7bfQ0Iv6SqCals1`_PdmvEXpTgyaUrdx5V\ _JGVRNQYULd`aGyD2FFIPGXZsMsfVoUck5PsB`mADfVqsOnmrJ\ 7eTKTbW5NY9WaDcdkUr7jiAkhCkhFkg4wjBqhG7UHIYHS`Had7\ F_BQbE`e5`78cHBfQEiZ_VgQcg9t5DoPOa6jKQbRVWYZOdcHk9\ HkR9ciCfhFiguuxgqrUnleDviVQEH`GXdDBkFUiXFkTOjPWiLc\ h4mp9lmDkjvCckQ1cWCW`Nb8L } END PARAMETER FILE=========================================

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FOTD 17-06-07 (Pressing Minibrot [6])
by Jim Muth 17 Jun '07

17 Jun '07

FOTD -- June 17, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image came about when I subtracted 5 parts of Z^2 from 3.35 parts of Z^3 and added (1/C). Curiously, the 1/C did not turn the fractal inside out, but it did create a somewhat distorted Mandelbrot set rotated 180 degrees, with an extra stem fragment lying some distance beyond the main stem. Ignoring this extra fragment, I checked instead a spot off to the north side of the actual main stem. Not very deep inside this spot I found today's scene, which I have named "Pressing Minibrot". I gave it this name because the whole image looks as though it has been pressed against a pane of glass. The rating of a 6 might be seen as a bit liberal by some, but I did put a bit of extra effort into the image, which helps justify the rating. One good point that cannot be denied is the calculation speed of the image, which is 9 seconds on the P2000 and only 44 seconds on the P200. This is a bit faster than it would take to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. But viewing the image on the web site does away with the hassle of calculating parameter files. Partly cloudy skies and a high temperature of 81F 27C made con- ditions pretty much ideal here at Fractal central on Saturday. At least the fractal cats must have thought so, for they spent several hours looking out the window. My day was not too busy, but I suffered an attack of severe laziness. The next FOTD will appear in 24 hours. Until then, take care, and get in there with the big-time thinkers, whoever they are. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pressing_Minibrot { ; time=0:00:09.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.46563561954888720/+0.015792627220296\ 66/226192.6/1/63.75/7.78858089134359943e-011 params=-5/2/3.35/3/0/0/0/0 float=y maxiter=255 inside=0 outside=tdis periodicity=10 colors=0003MsARkHVcOZWVbPafHhj9on2NaThkAahHVeO68G9\ DJCILEMNHRPJVRM_TCKIFPMIUPLZSQcBPcLmnmfkh`hcUeZzgX\ meW`dVQHHPLKPPMPTOOXRO`TCAmGKfKU`2KN7OPBSRGWSK_UfD\ CcHFaKHZOKXRMVUOSYRQ`TnEAeNHXWONJeONcOQaOU_OXYO`W1\ oq9kiHgaajAZhFWgJTeNQdRSnYQxyXp8VmDTjIRhMPeRsKGlOJ\ fSM_WPU_Su9SnGTgMU`SUUYVd_Ya`X_`XYaWWaWUbWSbVQcVzp\ JsmLmkNfiP`gRUeTbu__qZXmYUjXRfWdkr`imYghUfcRdZbn7_\ lBYjFVhJTfNQdRy43sA7nFBhKFcPJYUNTZRNEuOKoOPjOUdOZ_\ LO2MR7MTBNVFNYJO_NOaRTdpQVzP_jTe6SdBRdGQcLPcQLroMo\ kMmhNjdNhaOeYG8aID`JI_KMZLRYMVXN_W5a6CbFIcNM6QNISO\ TUw57kHF_TNTEORLQQRSPYUzK24qs8nnBljEjfIgbLeZslDhiJ\ YfPGleJiaMfYdtZaqY_oXXlXVjWSgWQeVZWlbO9`QCZSFXUIVW\ KTYNR_QPaTuKlnOhgSd`WaU_YXlrUijRfbylqqjlihgbfcVdZh\ 09c8E_GIWONSWRAzHEtLHnOLhSQPzPStPUoPXjOZdOa_DRoGVi\ JYdM`_GFuIKoKPjLUdNZ_`POnBAiGEeLH`QLXVOS_SA6gDDdGK\ aJR_MYXF22HA8JIELPKNXQySE } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 16-06-07 (Golden Emptiness [8])
by Jim Muth 16 Jun '07

16 Jun '07

FOTD -- June 16, 2007 (Rating 8) Fractal visionaries and enthusiasts: In today's formula I took the same math expression that created the Fractal Ringers image of June 8, changed the real(p1) value to -2.5, the real(p2) value to 2.5, and the function to 'recip'. The result was a totally different parent fractal, which is better seen than described. Today's image is located on the eastern extremity of the parent, very near the point where the main stem of a midget joins a large irregular hole. I named the image "Golden Emptiness" because of the gold effect of the open areas, which have been brought to life by the 'fmod' inside fill. I rated the whole works at an 8. I think the effect of gold on blue is good enough to earn it. The brief calculation time of 2-1/2 minutes only adds to the excitement. (If a fractal can be emotional, that is.) Of course, the simplest and fastest way to see the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted for instant pleasure. A day with perfectly average weather at Fractal Central on Friday went un-noticed. The cats were too busy chasing each other around the house and the human was too busy working. Luckily, the human still managed to find time for a fractal. The cats always find time for their treat. The next FOTD is scheduled to appear at this same time tomorrow at this same place. Until then, take care, and be cheerful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golden_Emptiness { ; time=0:02:24.60-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.46135766659610900/-0.563138691824576\ 20/2.119956e+009/1/80/7.22562509127694e-006 float=y params=-2.5/1.5/2.5/2.5/0/0/0/0 maxiter=1500 inside=fmod proximity=0.00032 periodicity=10 colors=00000KG`_GZbFXeFVgMUiSTkZTmdSojSpgLndFma9k_\ 3jZBgYJeYJaYJYYJUYJQYMMYPJYRNYUQYXUYZXYa`YdcXfgXij\ WlnWnqYlnZjl_hj`ghaeecccdbae`_fZXgYViWTjURkTOlRMmP\ KnOImMJmLJlJJlIJkGJkFJjDJjCJiAJi9JgEMeIOcMRaQT_UVh\ _ZjYYlWXnUWpSVrQUtOTxMUvKTtITrGSpFSnESlFRjGRhIQfJQ\ dKQbLP`MPZNOXOOWOOVNOXLP_HQaDSd9Tf5Uh1Vb3RY5OT6LO8\ IJAFEBC9D94E6BF9HGCNGETHHZHJdIMkJMjIOjIPjIQiHRiHSi\ HUiGVhGWhGXhFYhF_gF`MaUQdZVfcZhhcjmekpglrdhracsZ_s\ WVsURtRMtOItLDuI9uG5uI9uKCuMFuOIuPMuRPuTSuVVuWZuYa\ u_duaguaiubjucfsdcpe_nfXkgTigQgeRhdRibRjaRk_SlZSmX\ SnWSoUSpTSqRSrQSsOSsPTtQVtQXuRZuR`vSbvTdwTfwUhxUix\ UhxWgyYbyV_qSYiPVaNTUKQMHOEGNBFM7GOCGNHGMLHLQHKVHJ\ ZGIXFHVEGTDFRDEPCCNBELAGJBHLAHO9IRAJSBKVBLYCM`ENcH\ OeKPgPQiTRkTSmTToTUrSUtSUwSUySUzSUzRXzR_zRbzRezOcv\ RcrUcmYZh`accdZhgVkjSomPspMwsJzvGvrFsnEpkDlgCicBe`\ AaY9_V8YS5WP7UM9SJBPGDMDE } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 15-06-07 (Fantasy Filaments [4])
by Jim Muth 15 Jun '07

15 Jun '07

FOTD -- June 15, 2007 (Rating 4) Fractal visionaries and enthusiasts: Today we calculate the Z^(1.5)+C Mandeloid 95 levels down the logarithmic ladder and check the resulting fractal in the area of one of the minor buds on the northeast shoreline of what passes for a main bay. We soon find a midget lurking in the vicinity. The midget has little to recommend it, being little more than an irregular hole surrounded by zig-zagging bits and pieces of filaments. But we need a fractal in a hurry, so we volunteer the midget to step forward and accept the honor of being declared FOTD for June 15. The midget grudgingly accepts. Since the filaments are the most striking features of the image, I named it "Fantasy Filaments" and decided on a rating of a 4. A fractal that is found almost automatically can hardly be considered above average. Perhaps the best feature of the image is its speed. It calculates in just one minute on the P2000 machine. It would take around 6 minutes on the P200. The pre-calculated GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy morning here at Fractal Central on Thursday was followed by a partly sunny afternoon with a high temperature of 68F 20C. For me a rushed morning was followed by an afternoon only slightly less rushed. The fractal cats managed to stay inconspicuous during most of the day. The next FOTD will hopefully appear in 24 hours. Until then, take care, and remember that the best is always yet to come. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fantasy_Filaments { ; time=0:01:09.05-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=+0.21651796350606610/+0.249124595095299\ 90/5200.166/1/-57.5/-7.452637118543e-011 logmap=113 params=1.5/0/-95/0 float=y maxiter=7500 inside=0 colors=000LJJLIKKHKKHLJGMJFNKEOJFNJFNJFNJFNJFNJFNJ\ GNJGNJGNJGNJGMJGMJGMJHMJHMJHMJHMJHMJHMKFKJHMJJNJLP\ JNQJPSJRTJTUJVWJXXJZZJ__JaaJcbJecJgeJifJkhJmiJokJq\ lJrmIslHslHskGskFskFtjEtjDtiDtiCtiBuhBuhAug9vg8vg9\ ugAseAqcBoaCm_CkYDiWDgUEeSFcQFaOG_MGYKHWIIUGISEJQC\ JOAKM8LK6LI4MG2MD0LC1KA2KA3JB4IB5IC6HD6HE7GE8FF9FG\ AEHBEHBDICCJDCKEBLFALGAMH9NH9OI8OJ7PK7QL6RM6RM8QO9\ PQAOSCNUDMWELYFK_HJaIJcJIeLHgMGiNFkOEmQDoRCqSBsTBu\ VAuXAtY9t_9ta9tc8td8tf7th7sj7sk6sm6so5sq5sr5so6tm6\ tk6th6tf7ud7ua7u_7uY7ucAtiCtoEthHrbKpWPnQUlJZjDch7\ hgCmbGrZLwUPzQTzMSwNSsORpPRlQQiRQdSPcTPcUScTUcSWcR\ YcQ`cPbcOdcNfcNicMkcLmcKocJrcItcHvcGxcGvcHtcHueHvg\ IwiIxkIymJzoJzqJzsKzuKzwKzxLzyLzzLzzMzzMzzMzzMzzLz\ zLzzLzzLzzKzzKzzKzzKzzJzzJzzJvzJrzKmzLhzMczNZzOUzP\ UzQUzRUzSUzTUzMUzTUzZUzdUzcUzbUzaUzaUz`Uz_UzZUzZUz\ YUzXUzXUzWUzVUzUUzGUzHUzI } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: UltraFractal?
by jackoftradez＠comcast.net 15 Jun '07

15 Jun '07

. I know this is a fractint forum but also some people use ultrafractal. I recently purchased the current "animation" version with the hopes I could re-do some of my animations in 32 bit color, perhaps even faster since it would run in 32 bit windows and take full advantage of current hardware and software. With some tweaking, I can get it to read basic mandelbrot and julia fractint par files. However, rendering time is much SLOWER for a given image (especially deep ones) using UF on a P4-3GHz system, than it is for fractint on a P3-733 ! Anyone have a clue as to why this is and I just wasted $129 ?! . JoTz .

4 3

FOTD 14-06-07 (The Sea of Flames [4])
by Jim Muth 14 Jun '07

14 Jun '07

FOTD -- June 14, 2007 (Rating 4) Fractal visionaries and enthusiasts: Due to technical difficulties, today's discussion is short. The image is yet another scene in the parent fractal that produced the 'Fractal Ringers' image of 6 days ago. This time I chose to examine the area around the negative X-axis. Most of the excitement is created by the 'fmod' inside fill. This was needed because everything in the image but the green elements is part of the 'inside' of the fractal. The rating of a 4 is below average, but what the heck, a 4-rated image is better than none at all. The name "The Sea of Flames" is total whimsy. The image takes 1-1/2 minutes to finish on the P2000. On the P200 it would take around 7 minutes. But on the FOTD web site the image has already been calculated, and is ready for near instant viewing. The FOTD web site can be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another whopper of a thunder-storm hit Fractal Central at 3pm Wednesday. This time it caused a 3-hour power outage, which put me behind in the commercial work, forcing me to cut corners on today's FOTD. The fractal cats were not bothered by the lack of power, since it happened in the middle of the day and did not affect their evening treats. If all goes well, the next FOTD will appear in 24 hours. Until then, take care, and have faith that all will go well. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Sea_of_Flames { ; time=0:01:26.68-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.14472952948525470/+0.000057982931366\ 69/2761885/1/160/-6.12500657276582317e-008 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1500 inside=fmod proximity=0.0085 periodicity=10 colors=000NhYSqR2ggAeeHccgO7gVDgaKghQUZTHQV4HXUcJr\ z5nuAjqEfmIbiNZeRWaVVVRUPNTJKSCGR6CQ09N2EK4JH6OE8S\ BAX8Ca5EeHIaSLZcOVnRSyUPe_cMdrQhtUkuYnvaqwetx_X5X`\ 6Uc7Rf8Pi8Ml9JoAGrBEuBDnEDhHCbKCWMBQPBKSBEUTXGio2c\ q3Rs7Yr4St5kTxtL1hY3Yi5V079LTEYLJiDh_7Yj6uAScYHaDd\ h2zYUY9pbGsMYprUraQtM5AuSQSzVTfhHCciGiWKoJ`yBUw83y\ UAwMHvEx_IfmT_pLTsDBZYEdRHjKKpDECsHSbKfMpkjUVoSacQ\ hTOoHkMIZcC5NyEdYtIqkSecaUVkI7bIFlCLMGUVzSakQhYOoK\ KpNdiS_lMWoHRrBXqFUrCSsAPt8Q9SPMMOYHNiBTJDRTBQb9Ol\ 7ttMkuIcuEVuAqOLf_GXjBRLXPYOOiFLokMrRuYsiebYmM7aLF\ kDwPSuXJlcFciCVo9LNAMW9Md8Nm7o76gK6`X6Ui6cqmYsZStK\ YUMkDtVRuTZhRfWPnJpLzhVkacYUlKIY55vm7htBlgFoVJrIsN\ ajWUbdMVmENFcvEqjTaZgMRlLQoHPqDOs9YMgTcYQlK1coOu6N\ u6IMILcC6P59R8CTBFVFIXILYLSUOYRQcNTiKVoGYuD_nHYhLW\ aPVWTTPXRJ`QMcQPfQShQW_NZRKbJHeAEh2BeCIbMP_WWYdbUY\ gRRlNKqKEvBBx000cI0mKKmaZ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 13-06-07 (Statutory Fractal [9.5])
by Jim Muth 13 Jun '07

13 Jun '07

FOTD -- June 13, 2007 (Rating 9.5) Fractal visionaries and enthusiasts: Today's FOTD image rates a 9.5, and I think it's worth it. The calculation time of a lightning-fast 16 seconds only adds to the value. The parent fractal is again the same one that produced the 'Fractal Ringers' FOTD image of 5 days ago, but this time, instead of investigating new valleys, we check a bit of cut-off debris lying to the north of the main body of the fractal. Since the entire area is disconnected, the pattern around any midgets in the area will be disconnected also, as is indeed the case in today's image. But the coloring in the low registers, which I did manually, is what makes the image worth its glorious rating of 9.5, so I decided to reward myself. But I can give no logical reason for naming the image "Statutory Fractal". The phrase simply came to mind when I began searching for a name. And fractals are not necessarily logical anyway, so the name stuck. With a calculation time of only 16 seconds and a 9.5-rated image waiting to be seen, there is no excuse for missing this one, especially when the calculation can be totally eliminated by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there. The Tuesday weather here at Fractal Central was absolutely perfect, at least for those who enjoy storm clouds. Partly cloudy skies with billowing clouds during midday grew into a whopper of a thunder-storm at 6:30pm, flooding the street in front of F.C., scattering the lawn furniture, covering the ground with hail, and sending the fractal cats scurrying for cover. They re-appeared for their evening treat when the noise died down. Except for the excitement of the storm, my day was notably average. The next FOTD may not be quite as good as today's, but it will appear almost by magic in 24 hours. Until then, take care, and look for the silver lining in all dark fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Statutory_Fractal { ; time=0:00:16.41-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.63404111668161520/+0.516679061861279\ 70/1.449466e+010/1/120/-0.00299912377108243339 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=300 inside=0 logmap=44 periodicity=10 colors=00000000033566899BCCEFFHIILKKMMMOOOPQQSSSUU\ UXWW_aZcgfgzqczzzkrmjmjfhgbddW_aQVZJQWDPUFKKCFAAA0\ CA09A0CKAEOKHUUGYbFa_FgYEkVEqTKuQUyOcyNmyNwyNzyNzz\ MzzMzyMzyMmtIcpEUlARh7TlGVoPXrYZuf_xoVnoQeoLXoGOoF\ SjFVeFY`F`WFdRFgMFjHFmCDnDBnEAnF8nG6nH5nHCjGIgFOdE\ UaE`ZDfWClTBrQBsUHtYMuaRveXwiaxmfyqkzlizhgzdez`czW\ azS_zOYzKXzFSzBNz7Iz3DzNMzfVzyczwYzuSzsMzrHzsIztJz\ uJzmUzfdzdczbbz`azZ`zX_zV_zOZzIYzCXzBZzB`zBbzBdzBf\ zBgzSNzg3ze6zc8zaAz_CzYEzcBzh8zm6zn8zoAzoCzpEzqGzq\ IzrKzrMzZPzGSzIPzLMzOIzRFzTCzYJzbQzgXzlczqjzvqzzxz\ wsztozqjznfzkazhYzeUzXWzOYzGZzedz`_zXVzTRzOMzKHzGD\ zNFzUGz_IzfJzlKzmJznJzoJzpJzqJzrJzsJztJzuPzvUzwZzx\ IzyJzzKzzLzzMzzNzzOzzPzzPzzKzzGzzBzz7zzGzzOzzXzzdz\ zmzzuzzizz_zzQzz0zz`zzRzzLzzUzzQzzNzzKzzgzzZzzQzzX\ zzPzzizz_zzQzzRzzfzz6zzRzzMzzIzzWzzjzzxzzszznzzizz\ dzz_zzWzzUzzSzzRzzPzzNzzM } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 12-06-07 (Passed the Test [6])
by Jim Muth 12 Jun '07

12 Jun '07

FOTD -- June 12, 2007 (Rating 6) Fractal visionaries and enthusiasts: With today's image we return to the parent fractal that held the 'Fractal Ringers' image of 4 days ago. In fact, we return to the same general area that held the previous scene. This time we check the larger valley just to the north of the tiny valley that comes from and goes nowhere. I named today's image "Passed the Test". I have totally forgotten why I gave it this name, but it really doesn't matter. The viewer can invent a connection between image and name. The rating of a 6 seems appropriate, considering that I did put near a half-hour into tweaking the coloring and trying different inside fills. It turned out that the 'bof61' inside fill works best -- it usually does. The included parameter file takes 2-1/2 minutes on the P2000 computer and 12 minutes on the P200. (The P2000 is only 5 times as fast with Fractint as the P200.) I might check to see how fast Fractint runs on an older P3 unit. I hear that those CPU's were faster with 16-bit applications. Of course, all this concern about calculating speed can be forgotten if the completed image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather prevailed once again here at Fractal Central on Monday, with blue skies, billowing white clouds and a temperature of 82F 28C. At 7pm a lonely little sunshine shower passed over, doing more good than harm as it settled the dust. The work was a bit too heavy for me to enjoy the perfection however, but the fractal cats made the most of it. If all goes as planned, tomorrow will be another perfect day. The next FOTD will appear in 24 hours. It's a good one, so don't miss it. It's a real 9.5-rated image. In the meantime, take care, and don't dare. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Passed_the_Test { ; time=0:02:29.53-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.30805561394594060/+0.250271135064664\ 20/2.844387e+007/1/-10/2.29212404517786794e-006 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1600 inside=bof61 logmap=124 periodicity=10 colors=000NDKMFMMHNMJPLLRLNTLPUKRWKTYKV_KW`MZcNafO\ diQglRjoSmrTouVktXgsZcr``qbXpdTofPnhMmjIllEknBkNuX\ QtUSsSVsQX0O_rMaqKdqIfpGioEkoCnnApn8sm6um4rj5pg6md\ 7ka8h_9fXAcUBaRCZODXMEUJFSGGPDHNBHQCISCIVDJXDJ_DKa\ EKcEKfELhFLkFMmFMpGNrGNtGNtFLtFJtFH0EFtEDtEBtD9tD7\ tD5tC3tC1tC0tB3tB5tA7tA9t9Ct9Et8Gt8It7Lt7Nt6Pt6Rt5\ Ut5Wt4Yt4_p6cl7gi9keAobCsZDwWEzVHwVKtVMqUPnUSkUUhT\ XeT_bTa_WYaZVb`SdcPefMghJhkGjnDkpAms7nv4px1qE3II2N\ M2SQ1WU1`Y1dZ2e_3f`3fa4gb5hc5hd6ie6if7jg8kh8ki9li9\ lIL1HM3HM5HM7GM9GMBGMDGMFFNGFNIFNKFNMENOENQENSENTM\ MWULZ`LaeR`iX`mb_qh_um_slZrlYqlXplWokVnkUmkUlkTkjS\ jjRijQhjPgjPlgUpdZtabn`Zh_WbZTYYQZWOZVN_UL_TK`RI`Q\ HaPFaOEaMCbLBbK9cJ8cH6dG5dF3dE2cF4bG5bG6aH7aH8`I9`\ IA_JC_JDZKEZKFYLGYLHXMIXMJZOO_PTaQYbSbdTgeUlfVpfXp\ fZpf`pgXogTogPogLngHngDng9mg5mg2maAgXHaRPWMWQGcKBj\ EChGDfHEeJO3BO5DO7FN9GNBI } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 11-06-07 (Into the Valley [6])
by Jim Muth 11 Jun '07

11 Jun '07

FOTD -- June 11, 2007 (Rating 6) Fractal visionaries and enthusiasts: All right, I admit it. I had a lazy day on Sunday. I took the easiest route available to fractal satisfaction -- I decided to go back to basics and examine the Mandelbrot set, a fractal guaranteed to be filled with good fractal scenery that can be found with a minimum of effort. With today's image, we remain in East Valley, the same place we visited in yesterday's odd-angle image, and examine it in the familiar Mandelbrot direction. We decide to check an elephant- trunk spiral. To keep things from slowing down, we don't wander too deeply into the valley or into the spiral. And there we find today's scene. It took me only a few minutes to fine-tune the colors enough to bring the image up to FOTD quality. I named the image "Into the Valley" for obvious reasons. I rated it at a 6 to reward myself for the modicum of effort I put into the coloring. The calculation time of just under 2 seconds on the P2000 is one of the briefest in FOTD history. On the P200 the image would take about 10 seconds to finish. But instead or worrying about such trivialities, why not visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the already-calculated image there? Perfectly lovely weather graced New Fractal Central on Sunday. The deep blue sky, puffy white cumulus clouds, gentle winds, low humidity and temperature of 81F 27C could hardly be bettered. The new fractal cats' behavior could easily have been bettered however. In the middle of the afternoon, I had just started making a tuna sandwich when the phone rang in the next room. The call was from my sister, who is now living at Old Fractal Central with the old fractal cats, Thomas and Tippy. By the time we finished talking, the new fractal cats had discovered and finished the can of tuna I had left open on the counter. After giving them a sound scolding, I settled for a jumbo hot dog. Needless to say, after such wicked behavior, they had no evening treat of tuna. The rest of the day was peaceful. The next FOTD, which might be better or might be worse, will appear in 24 hours. Until then, take care, and wait with bated breath for the ultimate sunrise. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Into_the_Valley { ; time=0:00:01.98-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.30083214901746320/-0.020400697901445\ 98/1.412729e+010/1/-149/1.79467352839912664e-007 params=0/0 float=y maxiter=2400 inside=0 logmap=258 periodicity=10 colors=000wfwwewwdwvcwubwtawt`ws`ws_wsZwrYwrXvqXvq\ XvqXvpXvpWvoWvoVvnUunUunTumSumSulSulSulSunRsoRrpRq\ rSpsSouSnwTmxTlyTkzRlzUmzWmzWnzVnzToxQpwNpmLqbIhUF\ cNKQAOCCRDDTEFUFGVGIWHJXHKYIMZJN_KPaLQcLReMTgNUiOW\ kPXmQYoQ_qR`rSctTevUgwUiwVjwVkxWnxWpxXrxXuyYwyYvzZ\ uzZsy_qw_ouZmrYlnXkkWjgWidVh`UhYThUThRShNRhKQhGQhD\ Ph9Oh6Nh3Nf4Md4Lb4K`4JZ4IX5IV5HT5GR5FP5EN5EP8IRBLS\ EOUHRVKUXNXZQ__TbaWebYh__fYad`e_chWfkShoNkrJnuFpxB\ mrGjlKgfOdaSaWXZQ`WKdUFhWDdYB`_9Xa8Tc6Pe4Lg2Hh1Df5\ Ie8McBQbFU`IY_LaZPfXSjWVnUZrTavSdzWbwZ`taZqdXngVkk\ ThnReqPbtN_wLXzKUsJSlJQeJP_JNTJLMJKFJI9JHCIJFHLIGN\ KFPNERQDSTCUVBWYAY`9_b8`ZGXWNTTUPQaLNcHKeDKgAMiCOk\ EQmGSoIUqKWsMYuO_wQaxScyUezWgzYiz_kzamzcozaqz`sz_u\ zZzzXxzWyzVzzUzzTzzRzzQzzPzzOzzNzzMzzLzzLzzKzzJzzJ\ zzIzzHzzHzzGzzFzzFzzLzzEzzLzzhzzgzzfzzfzzezzdzzdzz\ czzczzbzzazzazzYzzbzzfzzk } END PARAMETER FILE=========================================

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Re: ultrafractal
by jackoftradez＠comcast.net 10 Jun '07

10 Jun '07

. Thanx everyone for the replys and suggestions; I will be investigating them but it will take time to work it all out. I'm sorry I was not aware of the apparent emotional "antagonism" between the two communities; I hope I haven't opened up a pandoras box here. I humbly vow never to bring it up again in this forum! More on track now, I have long been intrigued by the Julia rectangle. I actually did a modification of it a couple years ago, recently updated. It is the "bad trip" viddie on my site. And I just posted a simple zoom-in to Jim Muth's recent FOTD -- May 29, 2007 if anyone's interested. Short but cool. WMV, 640x480, 26 sec. 4.4 Meg http://www.fractal-animation.net/vid/outerdarkness.zip What is so special about the number 2.003 ? Is there some cosmic chaos significance? Will you get rectangles for exponent 2.0031, 2.004, 2.003001, etc. ?? Just another thing I need to investigate.... Stay amazed! JoTz .

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FOTD 10-06-07 (Where are the Elephants? [3])
by Jim Muth 10 Jun '07

10 Jun '07

FOTD -- June 10, 2007 (Rating 3) Fractal visionaries and enthusiasts: Today's image was found almost without effort, and therefore rates a lowly 3. It shows a scene in Elephant Valley, but there are no elephants to be seen anywhere in the image. The elephants are present sure enough, but they lie at a different orientation, and are totally unrecognizable. The slice of the valley shown in the image is oriented in the Oblate direction of the Julibrot, the orientation defined by the real(Z) and imag(C) axes. It has been stretched around 25 times in the vertical direction to counteract the natural horizontal stretching in this part of the Julibrot. I named the image "Where are the Elephants?". The calculation time on the P2000 is almost 3 minutes. On the P200 it would be around 14 minutes. On the FOTD web site the image may be viewed almost instantly however. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather, with sunny skies and a temperature of 79F 26C, made everyone happy on Saturday. It made me so happy that I decided to take the day totally off, and go out and have fun, which explains the late FOTD. The next FOTD might be ready in 24 hours, or if I decide to have another fun day, it might not. So until next time, take care, and keep enough chaos in your life to make it interesting. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WhereAreElephants { ; time=0:02:52.35-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=1 center-mag=0/+0.477351227473598/83.88363/0.04158 params=0/0/90/0/0.277/0/0/0 float=y maxiter=18000 inside=0 logmap=6 symmetry=yaxis periodicity=10 colors=000KHUKIUKJULKTMKTNKSOKSPKRQKRRKRTKQUKQWKPY\ KP_KPaKOcKOeKNgKNiKNkKMmKMoKLpJLpILpHKoIKoJJoKJoLJ\ nMLmNMkONjOPhPQgQReRTdRUbSVaSW`TYZTZYU_WVaVVbTWcSW\ dQXfPYgNYhMZjLZkJ_lI_mG`oFapDaqCbsAbt9cu7bw8cv8cu9\ ct9dsAdsAdrBdqBepCepCeoDenDfmEfmEflFfkFgjGgiGgiHhh\ HhgIhfIhfJieJidKicKicLjbLjaMj`NgdMj`LmYKoVJrSItPHw\ MGyJFwIFvIFuIFtIFrIFqIFpIFoIFmIFlIFkIFjIFiIFgIFfIF\ eIFdIFbIFaIF`IF_IFZIFXIFWIFVIFUIFSIFRIFQIFPIDNJFOI\ HPIJQILQHMRHOSHQTGSTGUUGVVFXWFZWF`XEbYEcZEeZDg_Di`\ Dj`Dh_Ff_Hd_Jb_K`_MZ_OX_QV_RT_TR_VQ_WO_YM__K_aI_bG\ _dE_fC_hA_i8_k6_m5_n7Zm8Zm9ZmAYmBYlCYlEXlFXlGXkHWk\ IWkJWkLVkMVjNVjOUjPUjQUiSTiTTiUTiVSiWShXShZRh_Rh`R\ gaQgbQgcQgfSfdQgbPg`Nh_MhYLiWJiUIjTHjRFkPEkNClMBlK\ AmI8mG7nF6nD4oB3oA2oB6kBAhCEeCIbDM_DQXEUUEXRFYSFZS\ F_SF`TFaTGbTGcTGdUGeUGfUNGlNGmOGnOGoOGoVMj`SfgYamc\ YvlSshUpeWnbXk_ZiW_fTadQb } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 09-06-07 (Nearly Linear [8])
by Jim Muth 09 Jun '07

09 Jun '07

FOTD -- June 09, 2007 (Rating 8) Fractal visionaries and enthusiasts: For today's FOTD fractal we have a picture of a midget. But this is not just any old midget. It is a midget in the fractal that results when the nearly-linear formula (-Z)^(1.09)+C is calculated. This parent fractal has X-axis symmetry as well as an overall resemblance to a Mandelbrot set with all its bays but the large period-2 bay missing. Today's scene is located in the chaos that lines the north shoreline of the parent fractal. Midgets are very hard to find in fractals of such a low order, so I was very lucky to find the little fellow. I was so lucky in fact that I decided to grant the image the honor of being FOTD for a day. With its many intricacies, the midget really is interesting, and unexpectedly attractive as well. I named the picture "Nearly Linear", referring to the exponent of Z, which is quite close to unity. Then I rated it at an 8 to reward myself for the extra effort I put into the coloring. The calculation time of 4 minutes on the P2000 would be increased to around 20 minutes on the P200. The calculation time becomes irrelevant however when the pre- calculated image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Far too much heat here at Fractal Central on Friday made things unpleasant for those who had to be outdoors. High humidity and a temperature of 93F 34C isn't in the comfort range. The cats, who never go outside, paid no attention to the heat. They were happy taking it easy all afternoon on their scratching posts. By the time a cooling thunder-shower moved in at 9pm, they were asleep. My day was moderately busy. Tomorrow will likely be slower. If it is, the next FOTD will appear in 24 hours. If not, the FOTD might take 25 hours. Until then, take care, and be at ease with things as they are. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nearly_Linear { ; time=0:04:11.33-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMiN passes=1 center-mag=+0.03378299242425540/+1.142571955783682\ 00/7.474851e+011/1/-87.4999618587140731/-0.0029595\ 3393662999609 params=1.09/0/0/0/0/0 float=y maxiter=2800 inside=0 logmap=772 symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000EkpEjpDioDhnCfnCemBdlBblAakA`jA_jBYhBXgC\ WeCUdDTbDSaDQ_EPZEOXFNWFLUFKTGJREHQCGOAFN5EL0CK0BI\ 0AH08F57EA6CF5BK7DL8ELAFMBGMDHMEIMFJNHLNIMNKNOLOOM\ POOQOPRPRTPSUPUVPVWQWXQYYQZZR``RaaRbbRdcSedSgeShfD\ XvSigbuRevTgvVivXlvZov_rvauvcxvezvfzsdzqcznawl`riZ\ pgYmdXlbVj_UiYShVRgTQfROeONdMLcJKaHI`EH_CGZ9EY7DX4\ BW2AV09U18U18T18T18S18S18S18R18R18Q18Q18P18P18P18w\ c8rU8kP8dK8aF8ZA8U58Q28O28M28L28J28J28J28M3CO3FR3I\ T3LV4PY4S_4Va4Yd4`f5dh5gk5jm5mo5pm6ok6oi6oh6of6od6\ oc7na7n_7nZ7nXcxVZmUUhSPcQKcOFUNAUL8UJAUI9KG9UE9UD\ 9KB9K99U89UDAUHBKLCKPCcTDacEZiEcwFchGTlGRjIThKUfMW\ dNXbPZaR__TaYUbWWdUYeSZgR`hPbjNdkLemJfnHgpGhqHiqIj\ qKkqXl3Ym3Zn3do2ep2eq0fr2fr3gr4hs5js6ks7ltAotFstKw\ uPzuUzuZzvczvhzvmzvrzvvzvzzvzzwzzwzzwzzwzzwzzwzzwz\ zwzzwzzxzzxzzxzzxzzxzzxzzxzzyzzyzzyzzyzzyzzyzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 08-06-07 (Mandelbrot Ringers [No Rating])
by Jim Muth 08 Jun '07

08 Jun '07

FOTD -- June 08, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image is more a mathematical curiosity than a work of fractal art, which is why I gave it no rating. When I first saw it, I could hardly believe my eyes. I had never witnessed such a gathering of Mandelbrot midgets in all my days of fractal exploration. (I consider myself a fractal explorer rather than a fractal artist.) I was astounded, but then a closer look revealed that there is only one real midget in the image. (It is easy to spot.) The other 'midgets' are ringers -- just plain holes playing the role of actual midgets. I immediately named the image "Mandelbrot Ringers". Today's image is from the same parent fractal as yesterday's far-better image. In fact, it is located in the much larger seahorse-type valley just north of the tiny valley that held yesterday's image. The Mandelbrot 'ringers' that fill the scene are not total losses. They are centers of much chaos, some of which is quite interesting and might appear as a source of a future FOTD. The render time of 53 seconds on a P2000 is about all the image is worth. The best way to see the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for near-instant gratification. Warm sun and a temperature of 81F 27C made Thursday quite pleasant here at Fractal Central. The fractal cats spent the day idling about the place. The most excitement came when a wandering tomcat passed by, calling for any lady within hearing. When they heard him, the fractal cats rushed to the window and wondered what the tomcat was so worked up about. My day was totally average, and this includes the fractal. The next FOTD, hopefully better than average, will appear in 24 hours. Until next time, take care, then do as you will. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Ringers { ; time=0:00:53.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.30973458659775410/+0.249770164311793\ 80/1411.637/1/-107.5/2.67205008119830723e-012 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000I`bI`aJa`Ka`Ka_LaZLaYMaYNaXNaWOaVOaVN`UN\ _UNZUNYUMXUMWTxQcwQawP_wOZvOXvNWvMUuMSuLRuKPuJOtJM\ tIKtHJsHHsGGsFErFCrEBrD9rD8qC9pBApBBoACnADn9Em8Fl8\ Gl7Hk7Ij6Jj5Ki5Lh4Mi1Nh4Nh7NgANgCNfFNfINfKNeNNeQNd\ TNdVNcYNc`NcbNbeNbhNakNamN`pN`sN`uNZsPYrQXpRWoTVmU\ UlVTjXSiYRgZQf`OdaNcbMadL`eKZfJYhIWiHVjGTlFSmDSqER\ nERkFQiFQfGPcGPaHOZHOXHOUINRINPJMMJMKKLHKLELKCLK9Q\ AALK7GU4Bb1Ca4D`6E_8FZAGYCHXEIWGJVJKULKTNLSPMRRNQT\ OPVPOYQN_RMaSLcSKeTJgUIiVHlWGnXFpYErZDt_Cv_Bx`Cv`C\ taCraCpbCnbCmcCkcCidCgdCegAfdCdbDb`F`YGZWIXUJVRKTP\ MRNNPLPNIQLGRJETHBUF9WD7XB5Y97XA8XBAXCBXDCXEEWFFWG\ HWHIWIJWJLVKMVLOVMPVNRWMQVOPUQPUSOTUOTWNSYMS_MRaLR\ cLQeKQgJPiJPkIOmIOnJNmKMmKLmLKlMKlMJlNIlOHkOGkPGkQ\ FkQEjRDjSDjSCjTBiUAiU9iV9iW8hW7hX6hZ4gX6hW8hV9hUBh\ TChSEhRFhQHhPIhOKhMLiLNiKOiJQiIRiHTiGUiFWiEXiDZiC_\ iD`hE`gE`fF`fF`eG`dH`cH`c } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 07-06-07 (Emerald Iterations [9])
by Jim Muth 07 Jun '07

07 Jun '07

FOTD -- June 07, 2007 (Rating 9) Fractal visionaries and enthusiasts: Today's image really turned out well, so well in fact that I rated it at a lofty 9. The parent fractal, which was created by combining 2 negative parts of Z^(1.5) with 2 positive parts of Z^(2.5) and adding straight C, is a distortion of the Mandelbrot set, with many extra bays and other goodies to explore. Today's image is located in one of these extra goodies -- a tiny, almost invisible valley that sprouts from nowhere and goes nowhere. This tiny valley is located just outside of the much larger seahorse-type valley that sets off the period-2 bud on the north- west shoreline of the main bay. (There is a second period-2 bud and a second tiny valley on the symmetrical southwest shoreline.) The image is made by its coloring, which is a refreshing change from the usual and often too-intense colors of most FOTD images. I named the image "Emerald Iterations". The green is not quite pure, but it is green enough to justify its name. The calculation time of 3-1/2 minutes on the P2000 machine would be extended to around 15 minutes on the P200 machine. It will be cut to seconds however by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there. The weather here at Fractal Central on Wednesday was absolutely perfect. The deep blue sky, puffy white clouds, low humidity, light winds and high temperature of 70F 21C could hardly be improved upon. The cats made no effort to improve upon the weather. They were too busy watching a pair of doves. With a 9-rated FOTD to boast about, and the commercial work well under control, my day was well above average. Now if only tomorrow could be a repeat . . . Regardless, the next FOTD will appear in 24 hours. Until then, take care, and grasp at the great mysteries. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Emerald_Iterations { ; time=0:03:42.21-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.29719583945369130/+0.215567134695368\ 40/6.652338e+009/1/55/-0.000245700507399387869 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=4000 inside=0 logmap=432 periodicity=10 colors=000oxwmxvjxugxrdwoavlZujWtgUtdStaQtZOsWNsTM\ sQLsNBfcFiYJlSNoMOQSPYPPdMQkJpw_guTZsNbtiYs_UrQ`E0\ Ce`JlRpQLCvUGuQJtNNsKD9gIPZMcQl3X`TP3fiBj_JnQXtRSf\ fCK6mORacMGlk61CAF8ES4Id1_uISqGLmFUcEaUDjLDrBCz2Ca\ 8XDEp3b4BX7ISAQNDXIGdDJk8MdFBYL1aQ7dUCgYIjaNneSqiY\ RlBTlBVkBWjAYiA_hA`hAVe9Qc9La8G_8BY76W79UACTCESEHR\ GJQIMPKOOMRNOTMQWLSYKU`JWbIYcM_dPaeTcfWeg_ghbiiekk\ bhl`emYcoW`pUZqRWsPUtMRuKPwIMuFKsHHoKFkNEgQDeTCcWB\ aYA__9Y`8Wa7Ub6Sc5Qd4Oc3Ma2K_1IY0GW0CT06Q00N00K00H\ 00E00B0080550A20F8AKEFPFKUHPZIWcKXgLXjNXlOXnQXpRXj\ W`d_d_cgUhkPlnJprEtu8pn2mgGdWUWLmmmzzzmmmSB_RFbRId\ RMfQPhQTjQWlP_nPbpPfrPitRfqScnU`lVYiXVgYSd_Pa`M_bJ\ XcHVfMWhRXjWYl`Zne_pi`RseUtfWtfZtg`ugcuheuhhvijvim\ vjovjdwWUwHWwHXwHYwH_wH`wHawHcwHdwHhwHmwHrwHvwHzwH\ zwHwwKzwUzwczwSzw8zwBzwEzwUzw`zwRzwgzw_zwVzwQzwLzw\ uzwgzwUzwnzwYzwtzwjzw`zwR } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-06-07 (Hope Springs Eternal [6])
by Jim Muth 06 Jun '07

06 Jun '07

FOTD -- June 06, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's nervous-looking image came to life when I combined 5 negative parts of Z^(-1.5) with 1 negative part of Z^(-7.7) and added (1/C) to generate a parent fractal that resembles a mis- shapen rabbit-snowman with two undersized ears, staring at a fairly normal Mandelbrot set some distance to the east. Today's image is located in the center of the most prominent valley, which separates the rabbit-snowman's thorax from his abdomen. I named the image "Hope Springs Eternal", though I have no idea what I might have been hoping for when I thought of the name. I rated the image at a slightly-above-average 6. It took little effort to convince myself that it actually was at least a little above the FOTD average. The calculation time of 1 minute is on the fast P2000 unit. On the workhorse P200 machine it would take between 4 and 5 minutes to finish. Of course, the calculation time is of no consequence if the fully-calculated image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where many more FOTD images and discussions are posted for near instant enjoyment. A near perfect day graced Fractal Central on Tuesday, with lots of sun and a temperature of 75F 24C. The fractal cats enjoyed the weather by spending as much time as possible in the sunniest windows. My day was moderately busy, as most days are. And tomorrow will probably be the same. The next FOTD, a better one I hope, will appear at this same internet spot in 24 hours. Until then, take care, and be faithful to your fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= HopeSpringsEternal { ; time=0:01:08.81-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.49695135167365110/+0.011152854814175\ 17/2.193735e+009/1/-96/-0.00020346097735753077 params=-5/-1.5/-1/-7.7/0/0/0/0 float=y maxiter=1500 inside=0 logmap=124 periodicity=10 colors=000RMdZ8PPKbTEVQHYNK`KNcOL`RKYVJVYIS`HPdGMg\ FJjEGnDDqCAtB8tDDtEHtF`tHPtITtJctLXtMetNitOWqPfnQ_\ lRTiSMgTFdU8bU1_R3XO4UM5RJ7OH8LE9ICBF9CD7DCBGCEIBI\ K000BPOASQ000KZUUaWceYmh_rlawoczsezvgzyiwvgmtecqdU\ obKl`Kj_NgYPeWRbVT`TVYRXWQZZO_aNadLbhJdkHenFgqDhtC\ fuFeuHcvKbvM`wP_wRYxUXxWVyZUy`SzcRzeSseTleTeeUZeUS\ eVLeVFeXAbY5`Z0ZP0jF0vgvubepZPlV8hRDeNIcJNaGR_CWY8\ `W5dU8fSBgREhQHiOKjNNkMQmKTnJWoIZpGaqFdrEgsDbtGYuJ\ TuMOvPJwREwU9xX4y_0yaGYcV7eW8gX8iY9kZ9l_An`ApaBrbB\ scCudCwdCxaGsZKoWOjTSfQWbN_YKcUHgQEkLBoH9rD8nE8kF8\ hG7eG7bH7ZI6WJ6TJ6QK5NL5JM5GM4DN4AO47O8rhEjlJcpMao\ O`nR_nTZmVYmYWl_VkbUkdTjfSjeQhePfeQdeRbhS`mT_rUYvV\ WzWUzXSzYQzZPz_UzaYzdbzgfzjkzmozrjzvezz`zz_zz_zz_z\ z_zz_zz_zzZzzZzzZzzZzzZzzZzzZzz_zz_zz_zz_zz_zz_zz_\ zz`zz`zz`zz`zz`zz`zz`zz`zz8zzIzzRzz_zzhzzizzjzzkzz\ 3zz6zz9zzCzzFzzIzzKzzIzzG } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 05-06-07 (Is This Success [7])
by Jim Muth 05 Jun '07

05 Jun '07

FOTD -- June 05, 2007 (Rating 7) Fractal visionaries and enthusiasts: I did it! And it wasn't that hard. I found what I consider a worthwhile midget of order 1.5. I found it in the Mandeloid that results when the formula Z^(1.5)+C is iterated 115 levels up the complex logarithmic ladder to infinity. This parent fractal consists of a large bay with two large and nearly equal buds. Today's scene is located in the outer chaos around one of these buds. When compared to some of the quadratic midgets I have come upon over the years, today's little fellow is not all that great, but I like its symmetry and the way it hides its necessary disconti- nuities. I named the image "Is This Success?", and I rated it at a 7. The calculation time of a measly 3-1/4 minutes on the P2000 is well within reason. And the fully rendered image is or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may effortlessly be viewed and hopefully enjoyed. Morning clouds and drizzle gave way to afternoon sunshine and a temperature of 79F 26C here at Fractal Central on Monday. The day ended with a cooling thunder-shower. The fractal cats spent most of the day curled comfortably on their scratching posts, paying no attention at all to the weather. My day was rather busy but not excessively so. And I actually felt a bit happy when I found the 7-rated midget in a Z^(1.5)+C Mandeloid. With this goal accomplished, it's time to move on. The next FOTD will appear in 24 hours. Until then, take care, and if we exist in an infinity of alternate worlds, are the other versions of ourselves conscious? If they are conscious, then they are not really us, they are someone else who looks like us, because we can be in only one place at a time. And if they are not conscious, then they are not actual people at all. And if some animated human bodies in alternate worlds are not actually conscious people, how many animated bodies in this alternate world may not be conscious people? We really must solve the riddle of what makes us our unique selves, though I doubt that our present method of science can find the answer or that an effort will even be made to find it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Is_This_Success { ; time=0:03:14.11-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.58023340112269160/-0.346967414576066\ 70/6.652242e+010/1/77.4984899716347542/0.001675277\ 38189383185 params=1.5/0/115/0 float=y maxiter=2500 inside=0 logmap=431 periodicity=10 colors=000A0KzzmwtcvpUvkSvgQvdOv`LvYJuUHuRFuNCuKAu\ G8uD6uA4rF7oJAmNCjSFgWHe_KbdM_hPYlRAH1KF2UD2ZC5cB7\ hB9mABpADsGGvMIxQKzWMzaOzgRwmTmpVctXU4ZK5_A5`35a45\ b45c55d65e76e86f86g96hA6iB6jC6kC6kB9jBCjAFiAIi9Lh9\ Nh8Qg8Tg8Wg7Zf7`f6ce6fe5id5ldznd4oczoc4pc4pczpc4qb\ 4qb4qb4rb4rb4sa4sa4sa4ta4ta4tazqYznUzkRzlQzmPznOzo\ NzpMzqLzqLznJAkIEhGHfFLcEO`CSYBVWAeQKoKT`NbMPl8Rv3\ MX_FsZGmZHgZIaYJWYKQYLK`RHcWFfaCifAveXkaVaZURVSHSR\ 7PQ6RO6SN6UM6VK6XJ5YI5_H5`F5bE5cD4eC4fA4h94i84j7Bl\ LImYPokVpxSqsPqoNrkUrgcscms_ztWztSzuOzuKzuGznKwhNz\ bQzXTCRWELZKPcUSgcVkmYpw`tzcxwYtwSpmMmcQhUTcKWZE_U\ FbPGeKGzFHzDHzBHz9KiKNiVPidSizUizWfzXczY`zZYzzVozT\ nzQlzSjeUhfWfgYdh`cja_laXnaUpaRo_UnaZnccmehlgmlirk\ kvjmzjoziqzhszhuzevzcwz`xzZyzXzzUzzSzzPzzNzzLzzKzz\ PzzUzzZzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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No FOTD for June 04, 2007
by Jim Muth 04 Jun '07

04 Jun '07

Fractal fans: Due to an unplanned trip that left no time to find and write about a fractal, there will be no FOTD for June 04. The FOTD for June 05 will appear on schedule, if not sooner. Jim Muth

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FOTD 27-05-07 (Perturbed Brotrise [Not rated])
by Jim Muth 03 Jun '07

03 Jun '07

FOTD -- May 26, 2007 (Not Rated) Fractal visionaries and enthusiasts: Today was quite busy here at F.C., but I still found time for a quick visit to the Hyper-Mandelbrot set, where I checked the hole at the center of a midget on the filament extending from the large north bud of the Hyper-M-set. I pictured the hole just as it was ready to be engulfed by the encroaching chaos. With almost no effort being put into the image, I could not honestly give it a rating, though I did name it "Perturbed Brotrise". The image is a very fast one, finishing in a mere 24 seconds on the fireball P-2000 machine. On the snowball P-200 unit, it would take about 2 minutes to finish. But why not forget calculating the parameter file? The finished image is or soon will be available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A very warm muggy day with a temperature of 84F 29C was refreshed by an afternoon thunder-shower, which dropped the temperature to 68F 20C. The fractal cats looked out the window long enough to see that it was raining heavily. Then they returned to their mischief. My day was quite busy. The next FOTD will appear in 24 hours. Until then, take care, and live your life like a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Perturbed_Brotrise { ; time=0:00:24.49-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot center-mag=-0.127512229\ /+0.98739942/8000/1/-170/6.25971496859278886e-012 params=0.036/0.019/1/0/0/5e-015 float=y maxiter=1200 inside=255 logmap=56 periodicity=0 colors=000DOGDNHDMIDLIDKJCJKCIKCHLCGMCFMCENBDOBCOB\ BPBAQB9QA8RA7SA6SA5TA4UA4UC5XD6_F6aG7dI7fJ8iJ6mK8k\ L9jMBiNChNEfOFePGdQIcRJbRL`SM_TOZUPYVQXVSVWTUXVTYW\ SYXRZZQ__P``OabNbcNcdMdeLegKfhKgiJhkIilHjmGknGlpFm\ qEnrDnsDnpEnnFnlGnjHngIneJncKnaLnZMnXNnVOnTPnQQnOR\ nMSnKTkHRiEQgBOe8Ne2Lc5Mb7N`AO_CPYFQXHRVKSUMTTOURR\ VQTWOWXNYYL`ZKb_HeaJd`Ld_Nc_PcZRcYTbYVbXXbWZaW`aVa\ aVcbWdbWebXfcXgcXhcYicYjdYkdZldZmdZoe_pe_qe`rf`sf`\ tfaufavgawgbxgbygbsacmXdgReaMfVEjWHgWKeXNbXP`YSZYV\ WZXUZ_R_bP_dN`gK`jI`lGekFjkEokDskCqiEphFnfHmeIldKj\ bLiaNh`OfZQeYRcWTbVUaUW_SXZRZYQ_WOaVNbTLdUMcUMbVMb\ VNaWNaWN`XO`XO_XO_YPZYPYZPYZQX_QX_QW`RW`RVDh_DiaCj\ bBjdAkfAkfAkgChhDfhEchGahH_hIXhKVhLSiMQiOOiPLiQJiS\ GiTEiSBkUCiVChXDgYDe_Ed`EcbFacF`eG_jBbfFZbJWZMSVQP\ RTLNXIU_KcaUmbcmhhmhmmhrmhvmhzmhzmhzmhzmhzmhzmhzmh\ zmhzmhzmhzmizmjzomzrqvzzz } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

4 5

FOTD 03-06-07 (Half Seahorse Deep [5])
by Jim Muth 03 Jun '07

03 Jun '07

FOTD -- June 03, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's image is named "Half Seahorse Deep". I gave it this name because the parent fractal was created by the formula Z^(1.5)+C iterated 5 levels down the logarithmic ladder, and the image is located deep in the rather fully formed Seahorse Valley of this parent. I rated the image at a 5, a rating that says 'average'. The image is somewhat better than yesterday's production, but falls far short of past FOTD high points. The render time of 11 minutes on the P2000 would stretch to near an hour on the old P200 machine. My suggestion is to take the simplest route to fractal satisfaction by viewing the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Very warm and humid weather here at Fractal Central on Saturday was slightly relieved by a heavy shower at 6pm. The fractal cats watched from a window and wondered where all the water was coming from. I was kept rather busy by commercial work, though I did find enough spare time for a brief trip to fractal land. The next FOTD will appear in 24 hours. Until then, take care, and I hear there's a new world coming. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Half_Seahorse_Deep { ; time=0:11:02.57-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.7403602118\ 8/-0.037639107902/5272512 params=1.5/0/-5/0 float=y maxiter=20000 inside=0 logmap=643 periodicity=10 colors=000c`Gc`Ec`CcaGfbKicOkeSnfXqh`tidwkhyllxjjx\ hhxgfxeexccwbaw`_wZZwYXwWVwUTvTSvRQvQOvOMvMLuLJuJH\ uHFuGEuECuCAtB8t97t75t63t41t30s42s53s55r66r68r79q7\ Bq8Cq8Eq9FpAGpAIpBJoBLoCMoCOoDPnDRnESnEUmFVmGWmGYm\ HZlH`lIalIckJdkJfkKgjLjkKhlJfmIenHcoGboF`pE_qDYrDX\ sCVtBUtASu9Rv8Pw7Ox6Mx6Lv7Mu8Ns9NrAOpBOoCPnDPlEQkF\ QiGRhHRgISeJSdKTbLTaMU_NUZOVYPVWQWVRWTSXSTXRUYPVYO\ WZMXZLY_LY_KW_KT_JQ_JNVIKPHHJHEEIBFI8GJ5HJ6IK6JK6K\ L7LL7ML7NM8OM8PN8QN9RO9SO9TOAUPAVPAWQBXQBYRBZRC_RC\ `SCaSDbTDcTDdUEeUEfTDhUEgUEfUFeVFdVFcVGbWGbWGaWH`X\ H_XIZXIYYIXYJXYJWZJVZKUZKTZLS_LR_LR_MQ`MP`MO`NNaNM\ aOLaOLbOKbPJbPIcPHcQGcQFeOEdPFdQFcQFcRFcSGbSGbTGaT\ GaUGaVH`VH`WH_XH_XI_YIZYIZZIY_IY_JY`JXaJXaJWbKWbKW\ cKWdKYdK_eLafLcfLegLggMihMkiMmiMmjMmkNmkNmlNmlNmmO\ mnOmnOmpOmqNorOqsOstOuuOwvOzwOzxOzyOzzOzzOzzOzzOzz\ GzzGzzGzzGzzGzzGzzGzzGzzG } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 02-06-07 (Taking a Break [4])
by Jim Muth 02 Jun '07

02 Jun '07

FOTD -- June 02, 2007 (Rating 4) Fractal visionaries and enthusiasts: Today I am taking a break from my so far fruitless search for a great midget in one of the infinity of Z^(1.5)+C Mandelbrot fractals. I am concentrating instead on the fractal that results when negative Z^(-3.3) is mixed with two negative parts of Z^(-1.4) and (1/C) is added. The name of the image -- "Taking a Break" -- simply recognizes this fact. This fractal is a Mandeloid in which the largest bud on the main bay has a periodicity of 5. If fact, the period-2 main bud, if indeed there is one, is very well hidden. Today's 'evaporated' image lies in a valley on the southeast shore line of the main bay of its parent. I evaporated the scene when none of the other options created a worthwhile image. But evaporation can not salvage a humdrum fractal, so I could rate today's image no higher than a humble 4. The render time of 3-3/4 minutes on the P2000 machine is well within reason. Even more reasonable is a visit to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted for instant satisfaction. A very warm and muggy day was climaxed by a lively thunder- shower at 7pm here at Fractal Central on Friday. The tempera- ture of 88F 31C was not too much for cats, but the humidity made it quite unpleasant for humans. The commercial work, which was on the heavy side, helped none at all. I'll be quite busy again tomorrow, but I still expect to find a fractal good enough to qualify as FOTD. That fractal will appear here in 24 hours. Until then, take care, and fractals seem to have an uncertainty principle. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Taking_a_Break { ; time=0:03:48.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.89441425582682100/+0.736184303212314\ 40/30369.55/1/70/4.64611649847457286e-009 params=-1/-3.3/-2/-1.4/0/1e+100/0/0 maxiter=1600 float=y inside=bof61 outside=tdis periodicity=10 colors=000VbRZcUadYde`hfdkggngjlhhkigjjfikehldgmcf\ nbeoadp_cqZbrYasX`tW_uVZvUYwTjWYw4as5_p6Yl6Xi7V000\ b8S_8QX9OT9NQALNAKRIXUQiVPgWPeWPdXObXO`YO_YOYZNW_N\ V_NT`MR`MQaMOaMNLg1Ie8GcEEbKC`QA_W8Ya6XgQ`picyZglP\ k`FnPEjNDfMCbLB_JBWIASH9PF8LE8HD7EB6AA56953866C69G\ 7CJ7FN8IR8LU9OY9RaAUdAXhAZkGTbLNVQHMVBE_56`97`C7aF\ 7aI7aL8bO8bR8bU8cX9c_9db9de9dhAekAenAeqAUkAIfANZER\ SHVLL_EOc7Sg0Vb2XY3YT5Z000K7aF9bAAc6Bd8AaAA_CAYDAW\ F9UH9SJ9PK9NM8LO8JQ8HR8FODIMILKNOHSRFXUDaWBfZ8ka6p\ d4rg2zi3we3yb3x_4xW4xT4wQ5wM5vJ5vG5qDCkUIkjORzMayK\ WxJYwH_vGauHbrIboJclJcjKdgLddLdbOfaRg`Uh_XiZ_kYblY\ emXhnWkpVnqUqrTssTorQkqOgpMcoK`nHXmFTlDPkBMk9PgASd\ AVaAYZA`VAcSAfPBiMBlIBoFBrCBu9Bw6BsAEoDHkHJhKMdOP`\ RRXVUUYWQ`ZMdaIgcFkfBni7rk3un0xp4uq7sqApqDnqGlqJiq\ NgrQdrTbrW`rZYraWrdUreZpeboefnejlenkerjevibsh`qgZo\ fXmeVkdTicRgbPeaNc`La_SaO } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 01-06-07 (Searching for Silk [5])
by Jim Muth 31 May '07

31 May '07

FOTD -- June 01, 2007 (Rating 5) Fractal visionaries and enthusiasts: It's a new month here at Fractal Central, where our job is to try to make silk purses out of the sow's ears some customers send in. Sometimes we succeed, sometimes not. In today's image I have tried once again to make something of nothing. The nothing is the midgets I have so far found in the Mandeloids between 1 and 2; the something would be to actually find a really great midget in one of these fractals. Today I tried, with only a bit of success, to make something of a tiny midget I found in the debris on the northern side of the main bay of the parent fractal that is generated when the formula Z^(1.5)+C is reiterated 439-1/2 levels down the infinite complex logarithmic ladder. What I got was just another bunch of broken filaments converging on a tiny midget in the center, which is so small that it might as well be invisible. By working on the coloring a bit I was able to rate the whole thing at a 5. But by FOTD standards, any rating below a 6 is unacceptable. I named the image "Searching for Silk", which was what I was doing when I stumbled upon the midget. Am I ready to give up the so-far-fruitless search? No way! But I will confine my efforts to the Z^(1.5)+C fractals until I find something worth the effort. In fact, I already have an idea for tomorrow's FOTD. Today's image is lightning fast. It calculates in under one minute. And just as fast and even more convenient is going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there. Let's face it, the weather has been a bit too perfect here at Fractal Central these past several weeks. True, the sunshine was plentiful on Thursday, but the high temperature of 91F 33C and noticeable humidity were just too oppressive to be called perfect, and the lack of rain is causing real concern among the area farmers. The fractal cats only concern was the noise from the road work 1/2 block up the street. But even that minor annoyance went away when the workers quit for the day at 5pm. As for me, the day was acceptable, neither great nor terrible, but simply acceptable. The next FOTD fractal will appear in 24 hours. Until then, take care, and when measuring the volume of a theoretically perfect vacuum, exactly what are we measuring? In other words, how can there be more or less of nothing? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Searching_for_Silk { ; time=0:00:52.35-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.3115167767\ 8686230/+1.075817196299104/5.097184e+008/1/-20/\ -0.00045278055760125 params=1.5/0/-439.5/0 float=y maxiter=800 inside=0 logmap=100 periodicity=10 colors=000W4kY5l_6m`7nb8od9pfAqgBriCskDtmEunFuoKqo\ PnoTkoYhobeofbok_opXotUpqQqnNqkKriHsfDscA`I5`F2YE3\ WD4TC5RB6OA6M97J88H89E7AC6A95B74C43D22E02E77DECCLG\ CSLBYQBdUAkZArc9xg9tcDq`HmYLjVPfRTcOW`L_XIcUEgQBkN\ 8oK5rJ6mJ7iI8dI9`qnWrpYrqZrr`rsartbrvdrwerxgryhrzi\ kugdpfZkdSfcLaaFX`EVaDUbCTbBScAQc9Pd9Od8Ne7Le6Kf5J\ f4Ig4HgDP`LXVUcPakJirDdsH`tKWuOSvROwUQsTRpTSlTUiTV\ eTWbTYZTZWT_ST`PT_RSZTSYUSXWRWYRVZRU`QTbQScQRePQgP\ PhPRgRTgTVgVXgXZgZ_f_afacfcefegfghehjejlelnenpepqe\ qfcnWakM`hBZe1YcTLkt9sholfnmemmclmbkmajm_imZhnXgnW\ fnVenTdnScnRbnWXl`SkdMjiHhmBgr6fv1em4_dAVWFQOKLQPK\ SUKUZJVcJXhJZmI`rIavIczHezHfzHbzKZzNVzQRzTNzVJzYFz\ `Bzc7zf4zh5zg5zg6zg6zg7zf7zf7zf8zf8zf9ze9zeAzeAzeA\ zeDzfGzgJzhLzhQz_UzSYzJazBXzHTzMOzSKzXGzaBzg7zl3zq\ 4zp4zo4zn5zm5zl5zk6zk6zj6zi7zh7zg7zf7zf9zgBzgDzgFz\ hHzhJzhLzhNziPziRziSziUzj } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 31-05-07 (Still Searching [5])
by Jim Muth 31 May '07

31 May '07

FOTD -- May 31, 2007 (Rating 5) Fractal visionaries and enthusiasts: I never give up searching for a great midget in a Mandeloid fractal with an exponent of Z between 1 and 2. The search continues in today's image, which lies in the Z^(1.5)+C Mandeloid as it appears 55 levels down the logarithmic ladder. The midget at the center is a bit too gaudy for a rating higher than a 5. I named the image "Still Searching" because I am still searching for that elusive spectacular scene in a Mandel- oid of the order 1.n. I will continue searching indefinitely, for I will not fail until I stop searching. Today's image calculates in 7 minutes on the fast machine. On the slow machine it would take around 1/2 hour to finish. So why not forget the burdensome task of calculation and view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another perfect day went un-appreciated here at Fractal Central on Wednesday. There have simply been too many perfect days during the past month. At least today's fractal has enough imperfections to avoid boredom. Speaking of fractals, the next one, the first for the month of June, will appear in 24 hours. Until then, take care, and who knows where fractals end. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Still_Searching { ; time=0:07:15.84-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.3286863688/-0.1670845328/25321.04 params=1.5/0/-55/0 float=y maxiter=10000 inside=0 logmap=350 periodicity=10 colors=000MUSMgSMgRMfRMfRLeRLdQLcQLbQLaPK`PK_PKZOK\ YOKWOJVNJUNJTNJSMJRMIQMIPLINLILLIJKHHKHFKHDJHCJF9I\ HBJJCJKDKMEKOGLPHLRKMTLMUNNWONYQOZRO`UPbVPcWPeXQgY\ QhZRj`RlaSmbSocTqdTreUtgUvhVwiVyjWykWynXylWyjWyhWy\ fWydVycVxaVx_VwYVvWUvUUuTUuRUtPTsNTsLTrJTrITqGSpES\ pCSoASo9SnARnARnARmARmAQmAQmBQlBQlBPlBPlBPkBPkCOkC\ OkCOjCOjCNjCNjCNiDNiDNiDMhDMhDMhDMhELgELgELgELgEKf\ EKfFKfFKfFJeFJeFJeFJeFJdHKdJLcLMcNNbPObQPaSQaUR`WS\ `YT__U_`VZbWZdXYfYbhZlj_vkFykFqkFlkFgkFbkaYkaTkbOk\ bJkbFkcDkcCkcEibFguHmuIduKbuLaZM_ZOYYPXXRVXSUWUSVV\ QVoUUqNTrLTtKSuIRtGSvHRqHRyIRuIRlIRiJRjJRkJQxKQnKQ\ oKQqLQrLQsLSuMUvMWwMYyN_yNayNcyOeyOgyOiyNkyNmyNoyN\ qyNsyNuyNuyNuyNuyNuyNvyMwyMxyNyyPzyRzyTzyVzyXzyZzy\ `zybzydzyfzyhzxjzwjzvjzujzujztjzsjzrjzqjzpjzojzojz\ njzmjzljzkjzjjzijzijzhjzgjzfjzejzdjzcjzcjzbjzajz`j\ z_jzZjzYjzYjzZjzZjzZjzZjz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 30-05-07 (Pop-a-Brot [?])
by Jim Muth 30 May '07

30 May '07

FOTD -- May 30, 2007 (Rating ?) Fractal visionaries and enthusiasts: I see that the FOTD for Jan. 29, 2002 has received an unusually large number of hits. But I can't see why. In my opinion, the image, which rated a 7, is above average, but many other past FOTD images have also rated a 7. I guess the style of the image reminds viewers of the 60's, a time that is long lost in the past. As a matter of interest, the discussion for that FOTD mentions the futility of trying to make a living selling fractal prints. Today's image also has a bit of a pop-art look about it. The pop effect is perhaps not as obvious as that of the 5-year-old image, but it is still apparent. In recognition of its pop-art style, I named today's image "Pop-a-Brot". And when it came time to assign a rating, I was totally undecided, so I rated it at a big question mark and let it go at that. Today's FOTD is an evaporated image that was produced by combining 2 negative parts of Z^(-2.2) with 1/2 negative part of Z^(-4.4), and then adding (1/C). The parent fractal is an indescribable thing with X-axis symmetry. Today's scene is located in the northeast suburbs of the parent. The calculation time of 56 seconds is true on the fast 2000mhz fractal computer. The slower 200mhz machine will take around 5 minutes to complete the job, but even 5 minutes is a short wait in the slow world of fractals. The minor wait may be totally eliminated however by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Tuesday was an absolutely perfect day here at Fractal Central, and the fractal cats agreed. As for me, I find one perfect day after another rather boring. I guess there's no way to make everyone happy at the same time, which raises thoughts about the claims of absolutely perfect happiness for everyone in heaven. But that's a topic for a future philofractal discussion. My immediate plans are to post another fractal in 24 hours. So until then, take care, and be with fractals wherever you may go. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pop-a-Brot { ; time=0:00:56.80-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.36298586060046/+1.348167281553784/\ 1.083363e+007/1/120/4.29956293e-006 params=-2/-2.2\ /-0.5/-4.4/0/1e+100/0/0 float=y maxiter=500 inside=bof61 outside=fmod periodicity=10 colors=000YBB_HC`NCaTCwqqnjchcQfw3EhhLe_RbSX_Kcxpb\ mZbeNL5xWvjlGDmP0Hd3PF0RM5faO16k`HOcMLcQIbUFiELeOG\ FVnRXVj_YhZSfZNdYHKm2Ra6X_9k70hE3fL6dS96xObFJbMGbS\ EqGgUikXe__aOWzxZpg`fSs5rnDgjKXfRMsZUmYOgYIEkJYcl_\ a_a_OxcZNlyVd`RbHX_E`xyaohbfSHH3PN6WT9_P6Vj7DSTBcJ\ LaGU_ErWxjX_i4yeJ`4LoMSWqyLmrIikGedEe8ndFdcLVbSL6K\ Yl48iC9gJAdRB5_EEenRaVENuNReVVRi_reZXG4q`DyaO`ChZQ\ bN5io8quRy3Vo6Zf9Rj2VftXchZaY`_NlSevcMbD4bO88D2GJ5\ OO7WTAQsrUmgXhX_bMehedeYcbRb_JVWDR96L2gQA_UISZQKRv\ 6o8s4kfDgZMdRV`Ji6WeKMDdzCzAJrBQkBXdCl32Zoo_je`fWa\ aMyAlwphpiYicNEE0LJ3RO6XT9Uz7`8oaHabQP1_`BZUKZOUYI\ uzjkkTemndgacbPcvMnfA2xiCq`LjTUcKj5wfK_O0KS9IWHG_Q\ E4b1D`4M_7VZAO2`TDSYOK`wKapIajGbcEaLEo6ljG_fPOAoxP\ f_Gt7Qf38_yGZlOZ`WYOusOpmLkhIfbFrNvnQjjTZfWNF29RIB\ 6WyFXlNX`VYOMFCR1cOeIZgQbdMeaJhZFkWCabLTiUKpbBwkLg\ eVsIWcBXO44GL_T8IYtPYeWYR } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 29-05-07 (Once a Rectangle-- [5])
by Jim Muth 29 May '07

29 May '07

FOTD -- May 29, 2007 (Rating 5) Fractal visionaries and enthusiasts: There is a curious rectangle in the Julia set of the formula Z^(2.003)+C with initial C set to -1.7453,0. Its Z coordinates are 0.00019,0.07388. It is best seen at a magnitude around 100. I have featured this Julia rectangle and various distortions of it many times over the 10-year life of the FOTD. Not surprisingly, similar rectangles surround the Mandelbrot midgets in the -1.7453,0 area of the Z^(2.003)+C Mandelbrot set. But there are an infinity of other directions in which the 4-dimensional Julibrot can be sliced at this point. Does the rectangle exist in any of these odd slices? As today's image shows, it most certainly does exist in at least some of the odd slices. Today's scene is sliced very near the Oblate direction, and the rectangle, if anything, is even more spectacular. The appearance of origin symmetry in the image is deceiving. A close examination reveals subtle differences at the corners. But if the slice had been exactly in the Oblate direction, the symmetry would have been preserved. I rated the image at a 5, since there are only so many times the same fractal object can be shown and rated above average. I named the image "Once A Rectangle--", because no matter how the orientation is twisted, the rectangle is always hiding somewhere nearby. The calculation time of under 3 minutes on the P2000 would be around 12 minutes on the P200 unit. But why calculate when the finished image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather prevailed here at Fractal Central on Monday. Only a slight bit too much humidity kept it from being absolutely perfect. Of course, weather perfection is a subjective thing. With almost no rain for the past month, the local farmers certainly are not calling the weather perfect. The fractal cats spent the day being cats. I spent the day trying but not quite succeeding avoiding activity. The next FOTD will appear in 24 hours. Until then, endure. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Once_A_rectangle-- { ; time=0:02:54.25-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 inside=0 center-mag=-0.00000638398529728/-0.000133749671322\ 46/3892.894/0.01489/92.009718764060608/76.75397332\ 36568793 params=0/90/2/90/-1.7435/0/0.00019/0.0738\ 8/2.003/0 float=y maxiter=10000 periodicity=10 colors=0001In1In2Jo2Jo2Jo2Jo3Jo3Ko3Ko3Ko4Ko4Ko4Ko4\ Lo4Lo5Lo5Lo5Lo5Lo6Mo6Mo6Mo6Mo7Mo7Mo7No7No7No8No8No\ 8Oo8Oo9Oo9Oo9Oo9OoAPoAPoAPoAPoAPoBPoBQoBQoBQoCQoCQ\ oCQoCRoDRoDRoDRoDRoDRoCSpCSpCSqCSqCSqCTrCTrCTsBTsB\ TsBUtBUtBUuBUuBUuBVvAVvAVwAVwAVwAWxAWxAWyAWyAWyCYx\ EZxF_wH`wIawKbvMdvNevPfuQguShuTitVjtXltYms_ns`osbp\ rcqresrgtqhuqjvqkwpmxpnyplvnjtlhrjgphengclebjc`haZ\ f`YdZWbXU`VSZURXSPVQOSONRNMQMKOLIMJHKHFIFDGEBECACA\ 8A8687565343O21YASiDUiDTjESjERkERkEQlEPlFOmFNmGMnI\ MnKLoMKoOJpQIpSHqUHqVGrWFrXEsYDsZCt_Ct`BuaAub9vc8v\ c7uc4vc5vc6vc7vd7ve8vf9vg9vhAviBvjBvkCvlDvmDvmEvmF\ vmFvmGvmHvmHvmIvmJvmJvmKvmLvmMvmMvmNvmOvmOvmPvmQvm\ QvmRvmSvmSvmTwmUwmUwmVwmWwmWwmXwmYwmYwmZwm_wm_wm`w\ mawmbwmbwmcwmdwmdwmewmfwmfwmgwmhwmhwmiwnjwnjwokwpl\ wplwqmwqnwrnwrowspxtqwspwspvsovrovrournurnurnvrmvr\ mvrmwrmwrmwrmgDXhDWhDWiDV } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 28-05-07 (Green Enough [5])
by Jim Muth 28 May '07

28 May '07

FOTD -- May 28, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's evaporated image lies in the fractal that results when 3 negative parts of Z^(-1.5) are combined with 0.5 negative part of Z^(-5.5) and (1/C) is added. This fractal consists of a north-south chain of 3 bays, surrounded by much interesting semi- chaos. Today's scene is found in a small area of this semi- chaos at the northern end of the chain of bays. I named the image "Green Enough" when I was impressed by the greenish spider arms that appear to be swirling about the central midget. This midget is partly camouflaged by the 'bof61' inside fill that was necessary to bring the entire evaporated scene to life. I thought for a few minutes before I rated the image at a perfectly average 5. I would have rated it higher, but I could find nothing in it that really is above present-day fractal average. The one-minute render time on the P2000 would be extended to five minutes on the P200. Both times are well within reason. The most reasonable way to see the image however is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. A warm and somewhat muggy day here at Fractal Central on Sunday was ideal for outdoor activity of all kinds. There was a slight scare in the afternoon when a thunder-shower passed close enough to the south to produce a cooling gust of wind, but the rain stayed well away. The fractal cats had their activity indoors, so the 86F 30C weather did not concern them. My day was busier than I would have liked, but not so busy that I had no time for fractals. The next fractal will appear in 24 hours. Until then, take care and when you search for the answer to the universe, be sure you know the question. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Green_Enough { ; time=0:01:02.10-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.21049469738894210/+2.081437268727431\ 00/1.911897e+007/1/-42.5000102434726443/2.85919363\ 99750828e-005 params=-3/-1.5/-0.5/-5.5/0/1e+100/0/0 float=y maxiter=1200 inside=bof61 periodicity=10 colors=0009AE7AC5AA3A81A79F6HJ6ON6WR5cV5jZ5f`6ca6_\ b7Xc7Td8008Nf8Jg9Gh9CiA9jA6kA7a88S79I6995ACBAFGAIL\ ALQAOVAR_AUdnaul_rjYphXmgVkeUicSfaRd`PaZO_aMYVLVUJ\ GSIQNGOPFM000ONNOQNOUNOYOO`OUdOchOmkPwoPzsPqvPjuUc\ uYUuaPtePtjPtnQsrQsvQszRoySlxSixTfwUbvU_vVXuWUtWRt\ XNsYKrYHrZEqZBqaKpdTog`n00eeeYehQdjIdlAL1HK5GJ9FID\ FHHEGLEiy2Qb76GCSlmWmh_ndbn_foWioRmpNppItqEwqA00Ei\ cHcYKXRNQKQKETMDVOCWQCXRBZTB_VA`XAaY9c_9da8ec8fd7h\ f7ih6ji6kd8c_AWVCOXBSZAW`A_b9cc9ge8kg8oi7sj7wkFtkM\ qkUok`lkhikogpTou6wuCtuHquMnpJjkHffEbbCZYAVT7RO5NK\ 3JLBHLIFLPDMXCMcAMj8Mq7Mq7JnBHkFEhJCeNAbRrVuoTrlSp\ jRngQldOibNg_MeYLcZPfZTi_Xl_`o`dr`guY`jVU`SNRQGHXD\ IbBJh9Kn7Lt5MVHI6SF4IR28a3Ob4cc5bb5a`6`Z6`Y7_W7ZV8\ YT8YR9XQ9WOAVNKlFToI`qLitOqvRyxUykayZhyNofsLuscgqY\ UoSGnMJfKM_IPTGSMEVFCY8A`19d3Eh5Il7Np9RtBWxC_pFXiI\ VbLSVOQORNJBNHBLFBJDBHBBF } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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No show in Windows.
by John W. 27 May '07

27 May '07

This is an old par, for which I used one of Albrecht Niekamp's Multifractals. It renders just fine in DOS Fractint, but in Fractint for Windows is a "no-show". Am I just asking too much of the Beta? John W. FnSF { ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=*.frm formulaname=multifractal ismand=y function=exp/exp/exp passes=t center-mag=-1.72529/-0.0175526/4.196079 params=-0.1738944669942329/-0.3000579851680044/384.00001/256.0076/256038\ 4.00008/1536.0256/768.01536/5120.01024/38888/2 float=y maxiter=3072 inside=maxiter outside=tdis logmap=yes periodicity=0 rseed=-2436 colors=200U00<9>A00<4>000<23>eeegggiiijjjlllnnn<2>sss<25>BBB999777<2>222\ 000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<22>keOmgPoiQqjRslSunT\ <2>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<15>W00 } FRM:Multifractal { ; Albrecht Niekamp Apr, 03 ;only integers as first input, second input 5 digits to the right ;real(p2) factor1,border1 ;imag(p2) (-)maxiter1,input bas.frm1_2digits input bas.frm2_2digits ;real(p3) bailout,hyb.mandel: number of sides (Many_mods L.Allison) ;imag(p3) factor2,border2 ;real(p4) maxiter2,factor3 ;imag(p4) border3,maxiter3 ;real(p5) 1digit_shape only 5digits: shape,out1,out2,in1,in2 ; 1_mand 2_jul 3_hyb.mand 4_hyb.jul +5_reset (not shape) <0_no in/out1 ; optional basic frm2: out-nbr 1digit in-nbr 1digit 3_both +5_shape ;imag(p5) 1digit : 1_iter1reset 2_iter2reset 3_both +5_shape effect ; 2digits : many_mods multipl. shutoff +10_in/out1 +20_inout2 +30_both ; optional input2: frequency_2digits level_2digits amplitude_2digits ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=(d<0) if (da) d=-d endif mi1=trunc(d) d=round((d-mi1)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) ba=trunc(d) mm=round((d-ba)*100000) ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*100000 ; d=real(p4) mi2=trunc(d) fac3=round((d-mi2)*100000) ; d=imag(p4) b3=trunc(d) mi3=round((d-b3)*100000) ; da=real(p5) t=(da<0) if (t) da=-da endif start=2-t dd=trunc(da) if (dd<5) start=0 endif vb=(dd==3)+(dd==4) da=round((da-dd)*100) d=trunc(dd/10000) vb=(d==3)+(d==4)+vb dd=dd-d*10000 d=trunc(dd/1000) or1=(d>5) d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) dd=dd-d*1000 d=trunc(dd/100) or2=(d>5) d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) dd=dd-d*100 d=trunc(dd/10) inr1=(d>5) d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) dd=dd-d*10 d=trunc(dd) inr2=(d>5) d=d-5*inr2 v3=(d==3) v4=(d==4) d2=(d==2)+(d==4) d=trunc(da/10) ab=(d>=5) d=d-5*ab da=da-10*d bb1=(d==1) bb2=(d==2) d=da ab=(d>=5) d=d-5*ab ab1=(d==1) ab2=(d==2) ; d=imag(p5) dd=trunc(d) d=round((d-dd)*1000000) le=(d>10000) da=trunc(dd/10) so1=((da==1)+(da==3)==0) so2=((da==2)+(da==3)==0) dd=dd-10*da wo=(dd>=5) dd=dd-5*wo ir1=(dd==1)+(dd==3) ir2=(dd==2)+(dd==3) if (le) freq=round((trunc(d/10000))*10) ;frequency_lake effect by S.Gallet d=d-freq*1000 level=(trunc(d/100))/100 ;water level d=d-level*10000 ampl=d/100 ;amplitude of the wave angle=real(rotskew*pi/180) t=exp(-flip(angle)) h=1/real(magxmag) q=h/0.75*imag(magxmag) tanskew=tan(imag(rotskew*pi/180)) w=2*q*t v=2*h*(tanskew+flip(1))*t z3rd=center+(-q-h*tanskew-flip(h))*t z=pixel-z3rd s=imag(conj(w)*z)/imag(conj(w)*v) if (s<=level) da=level-s z=z+2*da*(1+ampl*sin(freq*da^0.2))*v endif z=z+z3rd endif if (ismand) if (vb) c=0.4*log(sqr(pixel^mm)) z=z*le else c=z*le+pixel*(le==0) z=0 endif else c=p1 z=z*le+pixel*(le==0) endif t=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) ;frm: Albrecht Niekamp else z2=fn1(z)+c ;frm: Many_mods Linda Allison sqz2=cos(z2) z=c*(1-sqz2)/(1+sqz2) endif else if (ab) z=z*z+c+c*c-p7 ;frm: Pusk s Istv n else z2=z*z ;frm: Pusk s Istv n modified z=z2*z2+(p6+u)*z2+c-p1*(d3==0) endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=z*le+pixel*(le==0) endif else z=z*le+pixel*(le==0) c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2) u=2*(fn2(t/fac2)) rs=or1 ab=bb1 if (dd1) if (rs) z=pixel endif c=p1*u vb=vv2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=1 endif elseif (t>mi2) u=2*(fn2(t/fac2)) rs=inr1 ab=ab1 if (d1) if (rs) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=1 if (ir2) t=0 endif endif elseif (start==1) if (bo>b3) u=2*(fn3(t/fac3)) ab=bb2 rs=or2 if (dd2) if (rs) z=pixel endif c=p1*u vb=vv4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=0 endif elseif (t>mi3) u=2*(fn3(t/fac3)) ab=ab2 rs=inr2 if (d2) if (rs) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=0 endif endif endif bo<=ba }

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Announcement: Fractal Art Contest 2007
by Damien M. Jones 26 May '07

26 May '07

Hi folks, It's my pleasure to announce the Benoit Mandelbrot Fractal Art Contest 2007 is now open. As with the 2006 contest, we are asking for artwork to be submitted that will appear in an exhibition in Spain later this year. We are still finalizing a few details about that, but we are opening the contest now so that people can contribute. Because our goal is to select artwork for exhibition, you need to be able to produce a high-resolution version of your image. Usually, this means at least 8,000 pixels on the shorter side. If you cannot produce a large version of the image, you should not enter that image. (This tends to be a problem with Apophysis images especially; you may enter them, but keep in mind that very large Apophysis renders take an extremely long time. Start now.) Although eventually you will need to provide the large image (if yours is selected), to enter you need only provide a more modest size (1,600 pixels on the longest side). Images produced with any fractal software is acceptable. For complete rules and online entry, please visit the contest web site: http://www.fractalartcontests.com/2007/ [You may post this announcement to any location where there is interest, provided you post the entire announcement, unaltered.] Damien M. Jones dmj(a)fractalus.com http://www.fractalus.com/gallery/ http://www.damienmjones.com/

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FOTD 26-05-07 (Eruptive Iterations [?])
by Jim Muth 26 May '07

26 May '07

FOTD -- May 26, 2007 (Rating ?) Fractal visionaries and enthusiasts: Try as I may, I could not decide how to rate today's image, which is a scene in the Hyper-Mandelbrot set. I also am confused as to exactly what this formula does. Sometimes I suspect that it draws two overlapping Mandelbrot sets, but then it comes up with something that does not exist in the familiar Mandelbrot set. For example, consider the parent fractal of today's image. It is obviously closely related to the Mandelbrot set, but it could never be a result of two overlapping M-sets. To start, it has two East Valleys. This could be a result of two identical but slightly separated M-sets, but it has two quadratic midgets where the large period-3 north and south buds should be, and its Seahorse Valley is something entirely new. I named today's image "Eruptive Iterations", since it could be taken as an erupting volcano without too much difficulty. But the most notable feature of the image is its fantastic array of spider-like filaments. It does indeed remind me of the images produced by the type=spider formula. The calculation time of 14 minutes on a P2000 machine is a bit slow. But relief for slowness may easily be obtained on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted, ready for viewing. The weather here at Fractal Central got a bit too perfect on Friday, when the humidity moved in and the temperature reached 88F 31C. But heat doesn't worry cats too much, so the fractal cats had a pleasant day despite the heat. And a cooling thunder-shower arrived as night fell. My day was rather busy, and tomorrow will likely be the same. I'll try to post the FOTD on schedule, but there is no guarantee. Until next time, take care, and the more we discover in these fractals, the less we know. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= EruptiveIterations { ; time=0:14:08.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=+0.28954559806994660/0/2010.667/1/90/\ 3.885780586188e-016 params=0/0/0.3/0/0.01/0 float=y maxiter=5000 inside=255 logmap=90 periodicity=0 colors=000ejJdkIdkIckIckIckIbkIbkIalHalH`lH`lH`lH_\ lH_lHZmGZmGZmGYmGYmGXmGXmGWnFWnFWnFVnFVnFUnFUnFToE\ ToEToESoESoERoERoERoESnDSnDTnDTnDUmDUmDVmDVmDWmDWl\ DXlDXlDXlDYlDYkCZkCZkC_kC_kC`jC`jCajCajCajCbiCbiCc\ iCciCdiCdhBehBehBfhBfhBggBggBggBhgBhgBifBifBjfBjfB\ kfBkeAleAleAleAmeAmdAndAndAodAodApcApcAqcAqcArdBqc\ AqcAqbAqbAqaAqaAq`Aq`Aq_Aq_AqZAqZAqYAqYAqXAqXAqX9q\ W9qW9qV9qV9qU9qU9qT9qT9qS9qS9qR9qR9qQ9qQ9qP9qP8qP8\ qO8qO8qN8qN8qM8qM8qL8qL8qK8qK8qJ8qJ8qI8qI8qI7qH7qH\ 7qG7qG7qF7qF7qE7qE7qD7qD7qC7qC7qB7qB7qA7qA6qA6q96q\ 96q86q86q76q76q66q66q56q56q46q46q36q36q36o47n48m59\ l5Aj6Ai6Bh7Cg7De8Ed8Ec9Fb9GaAH_AIZBIYBJXCKVCLUDMTD\ MSENREOPFPOFQNGQMGRKHSJHTIIUHIUFJVEJWDKXCKYBLY9LZ8\ M_7M`6Na4Na3Ob2Oc1Pd0Pd1Qe2Re3Re4Se4Tf5Tf6Uf7Vf7Vg\ 8Wg9XgAXgAYgBZhCZhD_hD`hE`iFaiGbiGbiHciIdjJdjJejKe\ jLfkMgkMgkNhkOikPilPjlhhr } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractdev] extras: all_maps, frmtut, if_else, phctutor
by dmj＠fractalus.com 25 May '07

25 May '07

Richard, - Good point, but there's a question about whether or not the par file - constitutes a "work" I suppose. Well, since I can establish a direct relationship between the PAR data and the image it produces, I think a relatively convincing argument could be made that using PAR data without permission would constitute copyright infringement. I think our current copyright regime in the US is ridiculous. Copyright is a trade-off: a temporary monopoly given to creative people in exchange for eventual release into the public domain. They get to profit from their creativity for a while, to encourage them to be creative, and then society eventually gets to enjoy the fruits of their labor. The problem is copyright duration is now ridiculously long, and posthumously granting copyright extensions does nothing but enrich some already-rich corporations at the expense of society. All because Disney is afraid Mickey Mouse might enter the public domain, and Congress is happy to go along with it. And the Supreme Court basically avoided the issue, much to Lessig's disappointment. I believe copyright is a valid principle, but terms should be shorter, more like 17 years or so. Enough time to make money, but not so long as to rob the public domain. I believe in fair use, so I oppose DRM in all forms: the computer can't decide what's fair or not, so DRM will always choose badly in some cases. (And it only takes one allowed use to get the DRM stripped out, making the game pointless anyway.) I don't want a machine guessing whether I have the right to copy something; I want messy, legal processes that mean it has to be worth it to somebody to make an issue over it. Oh well, this is only *one* way in which our world is screwed up. It's certainly not the most important. :-) --Damien

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Re: [Fractdev] extras: all_maps, frmtut, if_else, phctutor
by dmj＠fractalus.com 25 May '07

25 May '07

Richard, - > People use the same argument to suggest that parameter files aren't - > copyrightable, either; I don't agree with them. Of course, IANAL. - - The funny thing about par files is that if you permute the order of - the parameters, then you are no longer violating the other person's - copyright, so its an intrinsicly silly idea. Copyright doesn't protect just exact duplicates, it also protects "derivative works". So if I wrote an essay, and you simply rearranged a few of my sentences, you're not off the hook as far as copyright is concerned. I would expect no less from PAR data. Of course the simplest solution is to never share PAR data, and there are certainly plenty of artists who have selected that route precisely to prevent blatant rip-offs. Plagiarism--for profit or not--is rampant in the world, whether it's fractals, photography, or any other form of art. The majority of people would not do this, but when you connect to the net you're playing a numbers game. Even incredibly unlikely events will occur with a big enough sample size. --Damien

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DOS CMD window tips
by Hal Lane 25 May '07

25 May '07

P.N.L. said: > to get to > the directory path of: > C:\Documents and Settings\ > > you would use this for the short form: > > C:\DOCUME~1\ > > The problem occurs if there are two or more folders/files beginning with > the same six characters. Then you need to know whether to use a "2", "3", > "4", etc. as the single digit. The folders/files are usually numbered by > the order in which they were initially added to the drive. To see which of the suffixes ( "2", "3", "4", etc.) corresponds to which file or directory name, use the "DIR" command: e.g.: DIR DOCU* Both the long and the short names will be displayed on the same line. Here's another DOS CMD window tip to quickly set a default directory. This is a great time saver if the directory path is very long: - Navigate to the desired directory in the Windows File Explorer, - Highlight and copy the directory address in the 'Address' window at the top of the File Explorer to the Windows Clipboard: <ctrl><C>, - In the DOS CMD window type: CD " - In WinXP: Right click the "C:\" icon in the upper left corner and select: 'Edit' > 'Paste' or, - In Win98: Click the 'Paste' button icon (a clipboard), - Type: " - Hit the <Enter> key, - Your default directory in the DOS CMD window is now the one you navigated to in the Windows File Explorer. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.8.0/817 - Release Date: 5/24/07 4:01 PM

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FOTD 25-05-07 (Fractal Firestorm [7])
by Jim Muth 25 May '07

25 May '07

FOTD -- May 25, 2007 (Rating 7) Fractal visionaries and enthusiasts: After studying the "Something New" image of two days ago, I started wondering if the 4-D HyperMandelbrot set holds typical 2-D quadratic midgets. It certainly has many oddly-shaped holes, but these do not qualify as midgets. A bit of investiga- tion soon revealed the answer. Yes, the 4-D Mandelbrot set does have midgets, but these midgets are four-dimensional things the same as their parent fractal, and when they are sliced in a direction other than straight down the middle, they take all kinds of weird shapes. Thankfully, the midget in today's image *is* sliced down the middle and appears as a normal quadratic midget. In fact, the entire scene, with its ring of basins, could easily lie in the classic Mandelbrot set. But I have not forgotten the weird-shaped slices of the 4-D midgets found in other parts of today's parent fractal. These slices are also interesting. I'll choose one of these slices as tomorrow's FOTD. I named today's image "Fractal Firestorm", probably after the 8 orangish elements surrounding the midget. I rated it at a 7 because that's what I think it's worth. The calculation time of 5-1/4 minutes is true on the 2000mhz unit. The 200mhz machine would take 25 minutes to finish the job. But the fastest way of all to see the image is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect days just keep coming here at New Fractal Central. The cloudless skies, light winds and a temperature of 84F 29C were near perfect for every outdoor activity except flying kites and growing crops. It's getting quite dry and the local farmers are starting to worry. The fractal cats don't worry about weather however. They reserve their concern for more practical things such as how long it will be before their evening treats are served. My worries are more numerous than the cats', and they will not be solved by a kind pet owner. But one near-certain way to forget the problems about which one can do nothing is to enter the world of fractals. Speaking of fractals, the next one will appear in 24 hours. Until then, take care, and I wonder whether fractals ever exhibit quantum non-locality. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Firestorm { ; time=0:05:17.80-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.97586929974347690/-0.003732367487476\ 60/6.514006e+008/1/10/-5.09919721123075487e-005 params=0/0/-4/0/0.1/0 float=y maxiter=5000 inside=0 logmap=650 periodicity=0 colors=000PKhkMwiOtgQqeSncUkaWheYej_bna_sccwchncmf\ coZcjRcdJc_BcV3cQ9cREcSJcSOcTUcUZcUccVhcVgcSfcQecO\ ecLdcJccHbcFbcCacA`c8`c6ecJieVngfrirokblmNmoNnqNns\ NouNpwNpuNqsNrqNroNvmTylYxjXxhXxfXwdWwbWwaWw_VvYVv\ WVvUUuSUuRUuPTuNTtLTtJStHStGSpFTlEUiDUeDVbCWZBWVAX\ SAYO9YL8ZH7_D7_A6`65a35a47Z58X69V6AS7BQ8CO9DM9FJAG\ HBHFCIDCJADK8EL6EM4FL5FL5FL6GL6GL6GL7GL7HL7YJTHL8H\ L8IL8IK9IK9IK9JKAJKAJKBKKBKKBKKCKKCLKCLKDLJDMJDMJE\ MJEMJENJFNJFNJGOJGOJGOJHOJHPIHPIIPIIQIIQIJQIJQIJRI\ KRIKRILSILSHLSHMSHMTHMTHNTHNUHNUHOUHOUHOVHPVHPVGQW\ JQWMQWPRZSRaVRdYSg`SjcSmfTpiTslOvoFumGtlHskHriIqhI\ pgJoeJndKmcKlaLk`Lj_MiYMiXNhWOgUQfUSeWUdYWc_Yba_ac\ a`ec_geZigYkiYljYmiYnhYogYpgYqfYreYseYtdYucYvcYwbY\ xaYyaYz`Yz__zZazcczhezmgzrhzvizzjzzkzzlzzmzznzzozz\ pzzqzzrzzszzuzzwzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 24-05-07 (Little Snub-Nose [7])
by Jim Muth 24 May '07

24 May '07

FOTD -- May 24, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's parameter file has no formula included. It needs none, since it was created with the built-in manzpower formula of Fractint. The image features a mis-shapen midget that lies in one of the seven-tenths-there elephants that line the southern shoreline of East Valley of the parent fractal. Since the East Valley elephants are only seven-tenths there, we know that the formula that created the image is Z^(1.7)+C. I could have found the same image just as easily with any number of formulas in my basic 'allinone' formula file, but I wanted to keep the process as simple as possible. I dislike complexity, except in fractal images, of course. I named the image "Little Snub-Nose". That's what I thought of when I saw the midget trying so hard but not quite making it to quadratic status. The rating of a 7 reflects my sympathy for the little fellow. The calculation time of 2-3/4 minutes is true on the 2000mhz machine. The 200mhz unit would take around 10 minutes to finish. Yes, I know that the high-speed machine is only 4 times as fast with today's fractal as the old machine that runs at only 1/10 the speed, but apparently a Pentium-4 is not as efficient with 16-bit applications as a 10-year-old first generation Pentium. Strangely enough, the new 2000mhz unit is 20 times as fast as the old 200mhz machine when calculating Fractint's built-in Mandelbrot and Julia formulas, which I suspect are programmed to use machine language. Technical issues aside, the quickest way to view today's image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted for full and immediate enjoyment. A beautiful day here at Fractal Central was not appreciated by the fractal cats, who spent most of yet another day in the din- ing room window, watching the squirrels go about their business in the yard. The sunny skies, light winds and temperature of 82F 28C hold too little interest for young cats as active as cats can be (which, to be honest, is not very active). My day was moderately busy. Tomorrow will probably be the same. The next FOTD will appear in 24 hours. Until then, take care, and do fractals have the equivalent of genes and DNA? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Little_Snub-Nose { ; time=0:02:47.08-SF5 on P4-2000 reset=2004 type=manzpower passes=1 center-mag=+0.19808636348652430/-0.000607045523257\ 75/2.74925e+008/1/175/1.48558646113905457e-007 params=0/0/1.7/0 float=y maxiter=10000 inside=0 logmap=226 periodicity=10 colors=000DChCDfBDdAEb9F`8FZ7GX6HV5HT4IR3JP2JN5LM8\ MMBNMDOMGQMJRMLSLOTLRVLTWLWXLZYL`ZLaWJaUIaSGaQFaOE\ aMCaKBbHAbF8bD7bB6b94b73b52dA8eFEgKKhOQeWNbcK`kIYh\ MVfQSdUPbYM``JZdGXhDVlATo9Si9Rd8Q_8PV7OQ7OL9PQAQVC\ R_DRcFShGTmIUrJUvKXwKZwK`wKbwKdwLfwLhwLjwLlwLnwLpw\ KquJqtIrrHrqHsoGsnFtlEtkDuiDuhCvfBveAwc9wb9waFrc`V\ AaV9bV7cV6cV5YaPSggMmzXoqfqipraqp`rn_smZtkYtiYuhXv\ fWwdVwcVtdUqeUnfTlgTihSfiSdiSaXMZKGW8AVPsURqTSpTTo\ SUnRVmRXkQYjPZiP_hO`gNbeNcdMdcLebLfaVSPdDDfCKgCQiC\ WjCalBhmBnoBtpBziOfb`NWm4j_8zcziOEWPGVOHVNHmNHVMIw\ MIwLIVKJwKJwJJwJKwIKwHKVHLVGLVGLVJJVLHVNKVPNVRQVTT\ VVWXWZYXaZYd`Zga_jb`mdapebsfcvhdwiexjfymbzoZzrVztR\ zwwzyKzzzzzHzzzzzNzzzzzTzzzzzZzzzzzdzzgzzjzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } END PARAMETER FILE=========================================

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Patch 5 to Fractint version 20.4
by Jonathan Osuch 24 May '07

24 May '07

Patch 5 to Fractint version 20.4 is now available on the Fractint Developer's web sites: www.fractint.org or www.fractint.net This is unrelated to Rich's port. What's new: Changed help screen to show just two main authors - decided better not to show inactive authors. Added commented out bf version of Mandelbrot in fractalp.c. Giving thought to offering bfmath as an option to bnmath, but if we fix the current bignum problems, this may be moot. Added interation to <tab> screen. Fixed the logic for calculating when to switch from using a grid to using the on-the-fly calculation of an image's pixels. The logic was not handling disk video images sized above 2048x2048 with floating point enabled. Added the savename to the disk video status screen. Fixed bug in the compare routine of bn_math that fixes long standing problem with periodicity checking in deep zoomed images. Added code to force periodicity=0 when the inside=atan feature is used. Jonathan

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Dual processors
by John W. 24 May '07

24 May '07

Has anyone any experience of using one of dual processors for manipulating fractals? I found this URL: http://www.harmony-central.com/articles/tips/dual_processing_system_tips/. I'm using an AMD Athlon 64 x 2 at 2.19 Ghz with 1 Gb of RAM and XP Media Centre Edition. I followed instructions to start up a second Mersenne Prime Search on the second processor, and all seems well... both of them are hacking away. The key to this setup was to run a second copy of the software with a "-A1" command line argument. Now I don't know if the "-A1" is part of the prime search software or part of the Command Line structure of XP Pro... so far I havn't been able to find this out. I don't want to screw up my setup by trying it with the DOS version of Fractint and the Fractint for Windows Beta poses me other problems. How can I use CMD to navigate through long file names, by abreviating with ~~~'s ? Anybody?

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Squares
by Tony Hanmer 23 May '07

23 May '07

(I was intending to make this announcement with the next full release of Fractint. But I am likely to be moving soon from the capital of the Republic of Georgia, Tbilisi, to Georgia's (and Europe's) highest village, Ushguli, a place which does have good electricity but has no easy or cheap internet solutions. I'll be accessing the internet solely through my cellphone, and leaving my desktop computer behind to be used for scanning my huge collection of 35mm negatives. So there's no time like the present.) Ah, the rich inner life of a humble square... Am I really the first person to discover this feature of IFS? If one begins with an Iterated Function System (IFS) which simply fills in solid, there may seem nothing further to do to alter this uninteresting result. But boredom can sometimes lead to experimenting, with unexpected results. In 2001, I discovered that if a square IFS is divided into several holons with no space between them, they will simply fill the square solid. But a bit of play can give the square an infinite variety of rich fractal interior textures. This is done solely by altering the number corresponding to the proportion of each holon of the square - for Fractint IFSs, the last of 7 numbers on each line. Make your solid-filed IFS, save the .ifs file (for Fractint), then change the numbers in a text editor. I was amazed at the richness and variety of the patterns I was seeing - truly an infinite set, as the numbers can be made arbitrarily different. The best results seem to happen when these proportion numbers still sum up to 1, as is normal, and the alteration is from 0.04 to 0.06, subtracting and adding the chosen amount from an equal number of numbers to leave the total unchanged. Contrast can be varied as well, by choosing alterations outside this range, the texture fading in from the solid square (or other initial shape) to an extremely high-contrast pattern. Two or more sets of solid squares can be superimposed and then altered. The idea works for other shapes as well, but it can be tricky to get to a solid filled shape if the angles are not all 90 degrees: either very careful calculation is needed, involving trigonometry, or a snap-to feature when drawing the holons. Further, *animations* from one texture to another are implied, by incrementing numbers sufficiently smoothly between the desired start and end textures. Only the numbers need to be altered; or the whole group of holons may be varied; one or more of these may be gradually added or subtracted, even flipped or rotated. In each case, one can make an animation to show the transition. I first stumbled across the idea of varying IFS proportion numbers while seeking ways to make the well-known Dragon Curve (DC) and Twindragon (TD) more interesting by giving them fractal-textured fills, as I had learned to do with these 2 and other tiles in L-system programming. I achieved what I was aiming for easily enough - but the same idea, applied to filled-in squares and other regular polygons, was a complete surprise and delight. ANIMATION Any IFS can be incrementally altered into any other for an animation, with the intervening steps arbitrarily many, as many as required. If the 2 IFSs have the same number of holons, and the elements in one IFS have each a counterpart in the other IFS as far as orientation, the process is simply a matter of incrementing the size and location of all holons between the two. If orientations are not matched, or numbers of holons are not equal, there is an extra step. An extra holon is introduced for each additional required holon or change in orientation, initially of zero thickness or width. These extra holons are gradually increased in thickness - and if the total number of holons must remain constant, as in performing a change in orientation only, the holon being replaced is gradually reduced in thickness simultaneously, until it has been fully replaced. If an actual addition of one or more holons is required, they are enlarged from zero thickness until they occupy their needed positions. This process is crying out for some automation... with the added optional constraint, especially for textured squares, of keeping all the animation frames within the start and end squares' size and shape. To run the pars below: 1. Cut, paste and save the par entries in a text editor as squares-.par, putting it where your other Fractint .par files are. 2. Cut, paste and save the ifs entries in a text editor as squares-.ifs ( squares.ifs is already being used), putting it where your other Fractint .ifs files are. 3. Finally, run the first par. Save its colour map as firecode.map where your other .map files are, and then you can run the remaining pars. For much more of my IFS work, see HANMERIFS_01.ZIP, at http://spanky.triumf.ca/pub/fractals/formulas/ Par entries start Sq0002d { ; 23:29.99, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0002d passes=1 center-mag=0/5/0.1666667 params=0 maxiter=57000 viewwindows=1/1/yes/0/0 colors=000006<3>00800900A<9>K04M04O03<2>U01W00W00<10>d00e00f00<14>u70v70\ w80x80z90<79>zm0zm0zn0<43>zx0zy0zy0zy0zy0<68>zzz } Sq0022e { ; 27:01.79, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0022e passes=1 center-mag=0/5/0.1666667 params=0 maxiter=62000 viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Sq0022q { ; 25:21.76, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=dcs01.ifs ifs=Sq0022q passes=1 center-mag=0/5/0.1666667 params=0 maxiter=58000 viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Sq0023d { ; 23:57.51, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0023d passes=1 center-mag=0/5/0.1666667 params=0 maxiter=59000 viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Sq0025k { ; 24:35.15, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0025k passes=1 center-mag=0/5/0.1666667 params=0 maxiter=58000 viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Sq0025v { ; 24:18.55, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0025v passes=1 center-mag=0/5/0.1666667 params=0 maxiter=59000 sound=off viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Sq0027a { ; 25:45.06, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0027a passes=1 center-mag=0/5/0.1666667 params=0 maxiter=61000 sound=off viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Sq0027d { ; 25:48.74, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs04.ifs ifs=Sq0027d passes=1 center-mag=0/5/0.1666667 params=0 maxiter=62000 sound=off viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Squ576a { ; 27:42.83, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs03.ifs ifs=squ576a center-mag=0/5/0.1666667 params=0 float=y maxiter=32000 sound=off viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Squ995t { ; 24:22.44, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs03.ifs ifs=squ995t passes=1 center-mag=0/5/0.1666667 params=0 maxiter=55000 viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Squ925u { ; 25:39.00, 1.3 GHz PIII ; Fractint Version 2004 Patchlevel 2 reset=2004 type=ifs ifsfile=sqs03.ifs ifs=squ925u passes=1 center-mag=0/5/0.1666667 params=0 maxiter=60000 viewwindows=1/1/yes/0/0 colors=(a)firecode.map } Par entries end IFS entries start Sq0002d {; Anthony Hanmer 18/12/2003, Designed with BRAZIL ; One of my best Squares 0.3330000 0.0000000 0.0000000 0.3330000 -4.0020000 -0.6670000 0.1108890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.2921110 -0.6670000 0.0000000 0.0000000 0.3330000 1.9980000 -0.6670000 0.1521110 -0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.4448890 } Sq0002e {; Anthony Hanmer 18/12/2003, Designed with BRAZIL 0.3330000 0.0000000 0.0000000 0.3330000 -4.0020000 -0.6670000 0.1108890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.2921110 -0.6670000 0.0000000 0.0000000 0.3330000 1.9980000 -0.6670000 0.2221110 -0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.3748890 } Sq0022q {; Anthony Hanmer 22/12/2003, Designed with BRAZIL ; One of my best Squares 0.3330000 0.0000000 0.0000000 0.3330000 -4.0020000 -0.6670000 0.0508890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.2821110 -0.6670000 0.0000000 0.0000000 -0.3330000 1.9980000 2.6630000 0.1621110 0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.5048890 } Sq0023d {; Anthony Hanmer 23/12/2003, Designed with BRAZIL ; One of my best Squares -0.3330000 0.0000000 0.0000000 0.3330000 -4.0020000 -0.6670000 0.1108890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.2921110 -0.6670000 0.0000000 0.0000000 -0.3330000 1.9980000 2.6630000 0.1521110 0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.4448890 } Sq0025k {; Anthony Hanmer 23/12/2003, Designed with BRAZIL ; One of my best Squares 0.3330000 0.0000000 0.0000000 -0.3330000 -4.0020000 2.6630000 0.1108890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.1421110 -0.6670000 0.0000000 0.0000000 -0.3330000 1.9980000 2.6630000 0.2221110 0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.5248890 } Sq0025v {; Anthony Hanmer 23/12/2003, Designed with BRAZIL ; One of my best Squares 0.3330000 0.0000000 0.0000000 -0.3330000 -4.0020000 2.6630000 0.0808890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.1921110 -0.6670000 0.0000000 0.0000000 -0.3330000 1.9980000 2.6630000 0.1921110 0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.5348890 } Sq0027a {; Anthony Hanmer 23/12/2003, Designed with BRAZIL ; One of my best Squares 0.0000000 0.3330000 -0.3330000 0.0000000 -5.6670000 0.9980000 0.1808890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.1521110 -0.6670000 0.0000000 0.0000000 -0.3330000 1.9980000 2.6630000 0.2221110 0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.4448890 } Sq0027d {; Anthony Hanmer 23/12/2003, Designed with BRAZIL ; One of my best Squares 0.0000000 0.3330000 -0.3330000 0.0000000 -5.6670000 0.9980000 0.1108890 0.3330000 0.0000000 0.0000000 0.6670000 -4.0020000 3.6630000 0.2921110 -0.6670000 0.0000000 0.0000000 -0.3330000 1.9980000 2.6630000 0.1521110 0.6670000 0.0000000 0.0000000 -0.6670000 1.9980000 10.3330000 0.4448890 } squ576a {; Tony Hanmer 21/7/2003, Designed with BRAZIL ; One of my best Squares -0.5 0 0 -0.5 -3 4.5 0.22 0.5 0 0 0.5 3 -0.5 0.22 0.25 0 0 0.5 -4.5 5.5 0.095 0.25 0 0 0.5 4.5 5.5 0.095 0 -0.5 0.5 0 2.5 8 0.37 } squ925t {; Tony Hanmer 9/12/2003, Designed with BRAZIL ; One of my best Squares -0.5 0 0 -0.5 3 10.5 0.2 -0.5 0 0 -0.5 3 10.5 0.2 0 0.5 0.5 0 0.5 2 0.2 0 -0.5 1 0 -0.5 5 0.4 } squ925u {; Tony Hanmer 9/12/2003, Designed with BRAZIL ; One of my best Squares -0.5 0 0 -0.5 3 10.5 0.1428571 0 0.5 0.5 0 0.5 2 0.1428571 0 -0.5 1 0 -0.5 5 0.2857143 0 -0.5 1 0 -0.5 5 0.2857143 0 0.5 0.5 0 0.5 2 0.1428571 } IFS entries end

8 21

FOTD 23-05-07 (Something New [8])
by Jim Muth 23 May '07

23 May '07

FOTD -- May 23, 2007 (Rating 8) Fractal visionaries and enthusiasts: The four-dimensional HyperMandelbrot set is virtually ignored. And why not? Very little totally new stuff is to be found in it. But is it actually as devoid of new stuff as would first appear? Today's image answers that question with a resounding NO! Today's under-used formula draws the 4-D HyperMandelbrot set, and does some strange things with it. I do not fully understand all the things this formula does, but one thing is certain. It plays some very interesting tricks with the familiar elements of the classic Mandelbrot set. The familiar M-set has been quite well explored, at least down to the level where the slow arbitrary-precision math kicks in, and most of the features to be found in its upper depths have been well investigated. It would be curious indeed if something truly new were to be uncovered in this range. Well, today's image uncovers something totally new. As far as I know, nothing like it has ever been found in the familiar two- dimensional M-set. Today we are investigating the four-dimen- sional Hyper-M-set however, so it is no wonder new things are popping up. I named today's image "Something New" because that's what it is. I rated it at an exceptional 8 because it truly is something new. The calculation time of 55 seconds is on the P4-2000. On the P200 it would take about 3 minutes to finish. But why not forget inconveniences like calculating parameter files? View the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With full sun and a temperature of 75F 24C, Tuesday was not quite perfect here at Fractal Central; the sky was slightly hazy. But despite the lack of a pure blue sky, the day came so close to having perfect weather that only a professional weather observer would notice the deficiency. The fractal cats most certainly never noticed the gray haze. They were far too busy watching four squirrels that were running around in the yard all afternoon. My day was average. Only the above-average fractal saved it from being a dull day. The next FOTD will appear in 24 hours. Until then, take care, and reasoning about fractals could be unreasonable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_New { ; time=0:00:55.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.11351018609400590/+0.857731703162649\ 10/13846.92/1/-12.5/1.19338289250592311e-011 params=0.33/0.33/1/0/0/5e-015 float=y maxiter=980 inside=0 logmap=40 periodicity=0 colors=000GFp7Jp9LqANrBOrCQsDRsETtFUtGWuHYvIZvJ`wK\ awLcxMdxNfyPhzOjzOkzNlzNmzNnzMmzMkzMizLgyLexLcwK`v\ KYuKVsJSsJQrJOrIMqIKqGGrIJqKLqLNpNPpORpQUoRWoTYoV_\ nWanYdmZfm`hmajlclleqodnlcljbjgahe`eb`c`_aYZ_WYXUX\ VRXTPWRMVOKUMHTKFRGBTIDUJEVKFWLGYMHZNJ_OK`PLbQMcRN\ dSOeTQgURhVSiWTjXUkYVjZWiZXi_Yh_Zg`_g``faaeabebcdb\ dcceccfbdgadh`fgadhabia`jY_iUZiRZhNYhKYgGXgCWf9Wf5\ Ve2Ve2Xc2Yb2Za2_`2a_2bZ2cY2dX2fW2gV2hU2iT2kS2lR2mQ\ 2nP7mRClTHkVMjXQiYVh__gadfcgcchedhgdiheijeilejmfjo\ fjqfkrgktgkugksekrckqako_knYkmWklUkjTkiRkhPkgNkeLk\ dJkcHkbFk`Ek_CkZAkY8kW6kV4kU2nS0kT1hU1eU1bV1_W1XW2\ UX2RY2PY2MZ2J_2G_3D`3Aa37a34b32b3IT9XKEZMG_NH`OJbP\ KcQLdRNfSOgUQhVRjWSkXUlYVnZWo_YpaZrb`scatebwgdyiez\ kgzjfzifzhezgeyfexedwcdvbcuact`cr_brZbrYbrWarVarU`\ rT`rS`rQ_rP_rO_qP`pP`oP`nP`mQakQaiQagQaeRbcRbaRb_R\ bQTcZRbgPapOajX`dd_ZmZTuY } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

6 5

FOTD 22-05-07 (Willy Wallies [7])
by Jim Muth 22 May '07

22 May '07

FOTD -- May 22, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's semi-glorious fractal image was created by combining 5 negative parts of Z^(-1.5) with 1/2 negative part of Z^(-6.5) and adding (1/C). The parent fractal consists of 4 main bays with a scattering of isolated rings to the north of the main fractal. Today's scene lies in one of the smaller rings. As is obvious from the one-googol value of the imag(p3) parameter, the image is an evaporated one brought to life by the bof61 inside fill. I named it "Willy Wallies", a nonsense phrase for a non-sensical reason. The rating of a 7 means that at least in my opinion, the image is a bit above the FOTD average. And I can justify the rating because of the extra 15 minutes I spent working the colors. The calculation time of the image on the fireball P4-2000 is 33 seconds. On the P200 it finishes in 2-2/3 minutes. Of course, the calculation time may be ignored by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. A near-perfect sunshiny day with a temperature of 70F 21C here at Fractal Central on Monday made the fractal cats wish they could get outside to enjoy the conditions along with the lucky squirrels and people. Unfortunately for their feelings, it appears they will be indoor cats for the rest of their lives. My day was busy enough to keep me occupied, but not so busy as to preclude a trip to fractal land. The next FOTD fractal image will appear in 24 hours. Until then, take care, and dine out with a fractal. They eat very little. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Willy-Wallies { ; time=0:00:33.41-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.62778255764460900/+2.877258062006794\ 00/7.169358e+010/1/20.0025100081782341/0.000116997\ 977210396564 params=-5/-1.5/-0.5/-6.5/0/1e+100/0/0 float=y maxiter=1200 inside=bof61 periodicity=10 colors=000DOTDOUCNVCNVCNWBMXBMXBMYBMYKOcTPiaQnjRtr\ SynRxjQwgPvcOu`NtXMtULsQKrNJqJIpGHpJGoMFoOEoRDoTCo\ WCoYBo`Aob9oe8og8oi9nj9mkAllAknBjoBjpBiqChsCgtDfuD\ evDelQTcbHVo5Sj6Qe7O`7MM8KS8INPVC9I3Nm9AC0Sc9B000X\ 8CC8CztWpzzqpgjo_cbSXmKQpCzk5Se8Z`AYWAXRAWMAVHZUCA\ SI9RN9PT9OY9Mb9Lh9Jm9rz9dW8eQ7eL7eG6zBmf65f15dFJbT\ X`fj_sxbqydoygmyilykzznhzpfzrezvjcyoHqkKjgNcdQX`TP\ XWIUZBQa4NcOTRfZFyc3XnM5xcTgSpSHjRNdRSZQXTQaNQfHPk\ BPp5PudyqarrZksWdsTYtQRuNKuKRpIYlGdgEkcCq_FbUIOPL9\ KHHIDOG9WE5bCBfHGiLLmPRpUWtY`wabqbckbefcf`chVdiQdk\ KelFebMhUTkLZnCeq3ksAhpGenNbkT_iZXfeUdkRaqO_gUeZZk\ QcpR_lRXiRTfSQbSM_SJXSGUTHWTIXTJZTJ_UKaULbUMdUMeYI\ daEddAdh6dk3dj8bjC`jHZjLXjPVjUTjYRjaQc1h_9cXGZTOUQ\ VPMbKJiFFqACx6HhGLTQPEZDJP1OGfrGdfKbWNaLQTFHVJMWNQ\ YRUZUZ`YbaafbdjXelRfmMfnGgoBgpBhpBiqBjrBjrBksBlsBm\ tBnuBouBpvBpvAqqArm9si9se } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 21-05-07 (Beneath the Shadow [6])
by Jim Muth 21 May '07

21 May '07

FOTD -- May 21, 2007 (Rating 6) Fractal visionaries and enthusiasts: To generate today's parent fractal I combined some negative Z^(-0.95) with about 1/5 as much negative Z^(-6.1) and added (1/C). This parent fractal is an oversized thing consisting of a large area of chaos with one large and somewhat distorted Mandelbrot set. An even larger open area extends from the East Valley of the Mandeloid. Today's image is located where this large open area merges into the Mandeloid. I named the image "Beneath the Shadow" because I like the sound of the words. I rated it at a 6 because I think it's just a bit above average. The calculation time of 3-1/4 minutes is true on the fireball P4-2000 machine. On the old P200 machine the image would take over 20 minutes to finish. Relief for any remaining frustration may be found at the FOTD web site, where the image will momentarily be posted for instant gratification. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A partly cloudy day with a temperature of 70F 21C here at Fractal Central on Sunday made conditions near perfect for outdoor activity. But the fractal cats' activity is limited to the indoors, so they could not appreciate the good weather. My day was kept active with yard work. The next in the seemingly unending series of FOTD fractals will appear in 24 hours. Until then, take care, and know that every- thing from atoms to the universe is ultimately an abstraction. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Beneath_the_Shadow { ; time=0:03:16.03-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-7.244795676089/-2.026205433111/8.2041\ 2e+007 params=-5.5/-0.95/-1/-6.1/-0.8/0/0/0 float=y maxiter=2700 inside=0 periodicity=10 colors=000lZRnbXqfbsjhvnntmpzvyuosvnqtjmrfipbenZbl\ X_kWYjVWiUUgTSfSPeRNUJ5dQLbOJaNH`ME_LCYKAXJ8WI6ZOG\ YNFYMEYMDXLCXLBXKAWK9WJ8WJ7VI6VI5VH4rHblHUfHL`HCay\ I_pFZgCXZ9WQ6xnvsoonheiaXdVN_ODQA2RB3RB3RC3SC3SD3S\ D3TE3TE4TF4UF4UG4UG4VH4VH4LWOPRHSMA7seJ_Ney8du7cr7\ bn7ak6`g6_d6_`5ZY5YU5XR4WN4VK41jt4go7djAaeC_`FXWIU\ SLRNNPIQMDTJ8GL3JK4MJ4PI4SH4wqWtnTrkRphPneNkbLi_Jg\ YGeVEbSC`PAZM8XJ6cJbbI_aIYaIW`IU`IS_IP_INZILYHJYHH\ XHEXHCWHAWH8VH6jNxhMrfLleLfcKabKW`JQZILYIFWH9zVzxU\ vvTrtSnrRkpQgnPclO`jOXhNTfMQdLMbKI`JFZIBXH7yU2iN3y\ QPcAqZETUdZVSiVbJMSg2`d6V_AWVDTRHRMLOHOMDSJ8_`BZZA\ ZX9YW9YU8XS8XR7XP6WN6WM5VK5VI4sy3lm4fb4`S4azc_nVYc\ MWSDHEGIFFJFEKFDLFDMFCNGBOGAOGAPG9XfjUenVejSclTdiR\ bkRchQajQagR`cR``SYYSZUSWRTXOYUbRUeKQg4Ph8MfCKdGIb\ KG`OEZSCXRAWR9WR8WR8WR7WR7WQ6VQ6VQ5VQ5VQ4VQ4VS7SU9\ PWCMYEK_GHaJEcLBdN9gRFiVL } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 20-05-07 (Fractal Test [4])
by Jim Muth 20 May '07

20 May '07

FOTD -- May 20, 2007 (Rating 4) Fractal visionaries and enthusiasts: The FOTD seems to be slipping. I could rate today's image no higher than a humble 4, which actually is a bit below average. I made almost no effort at all to find and color it. The name "Fractal Test" demonstrates this fact. The formula behind the image is Z^(1.2)+C as it appears at ground level of the logarithmic ladder. Actually today's image lies at -3.14159... of the ladder, since the number PI is the actual ground level. I could make a slight change in the MandelbrotBC2 formula to set the ground level at PI, but if I did this, the old parameter files would no longer calculate correctly. The image itself shows a Mandeloid midget that lies in the chaos that exists on the north side of the main bay of its parent, which is little more than an egg-shaped oval with a pimple on its south end. There is little to say about the image, so I will say only that it reminds me of a greenish shield. The calculation time of 2-1/4 minutes on the P4-2000 machine and 7 minutes on the P200 may be bypassed by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Sunny skies in the morning gave way to cloudy skies by afternoon here at Fractal Central, but the temperature reached a very pleasant 70F 21C. The new Fractal Cats, whose lives are not nearly as adventurous as the lives of the old fractal cats, spent the day examining a garden beetle that somehow got into the kitchen. My day was rather busy. But if all goes as planned, tomorrow will be much slower. The next FOTD will appear in 24 hours, give or take a few hours. Until then, take care, and where does yesterday go? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Test { ; time=0:02:17.31-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.1105933609727138/+1.520866940519481/\ 5.918391e+010 params=1.2/0/0/0 float=y maxiter=5000 inside=0 logmap=214 periodicity=10 colors=000GJNDIIAHD7G9AJDDMGGPJJSMMVPPYSS`VVcYYfa`\ idclgfojirmlupoxsrzvnxqkvlhuhescbr_ZpVWnQTmMQkHNjD\ PlERmEToFVpFXrGZsG`uHavHYuNVtTRtZOsdKsjHrpErvIpsMn\ pQmnUkkYihahfefcieafb`d`_bYZ`WYYUYWRXUPWSNVQKUNIUL\ GTJDSHBRF9RGCTHFUIIVJLWKOXLRYMUZNX_O_`PbaQebRhcRjd\ MeSH`GCX4F_6Ia8Ld9OfBRiDUkEXnG_pIbrJhnQnkXtgczdisb\ bl`XfZR_XLUVFNT9HS3MV4QY5U`6Yc7af8ei9il9TkFCjLoDSn\ GQmIPlKOkMNjOMiQLhSKhUJgWHfYGe_FdaEccDbeCagBaiA_gE\ ZfIYdLWcPVbTU`WT__RZcQXfPWjOVmLUnJUnGUoEUoCUp9Up7U\ q5UqCNeJHUQAIX46YARYFkORoFbs6mv8kr9ioBhk96m75p65sA\ 4qE4pI4oM4mP4lT4kX4j`4hd4gg4fk4eo4cs4bw4az4`x8bwCc\ uGetKfsOgqSipWjo_kmcmlgnkkoioqhsrgwsZnuRfvJZxBRyEQ\ vHPsKOqNNnQMlTLiWKgZJd`IbcH_fGYiFVlEToDQrCOuBLwBJr\ CInCIjDHfDHbDHZEGVEGREGNFFJFFFFFBGE7GE3GE4FG4FH4FI\ 4FJ4EK4EL4EM5EN5DO5DP5DR5DS5CT5CU6CV6CW6BX6BY6BZ6B\ _6B`8Da9FbVQjSPePN`MMXJLS } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 19-05-07 (The Ear of God [5])
by Jim Muth 19 May '07

19 May '07

FOTD -- May 19, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal is named "The Ear of God". Surprisingly, God's ear looks quite like a human ear that has been colored celestial blue. The resemblance is not surprising, since God is said to have made us in His image. And quite an ear it is! It has heard every word that has ever been muttered or ever will be muttered through the entire history of the multiiverse. I leave it to the individual to decide what the deity will do with all that scandalous knowledge gained by eavesdropping. As for today's image, it was created by combining 11 negative parts of Z^(-1.1) with one negative part of Z^(-11) and adding (1/C). The fractal was given added interest by rendering it with the outside set to 'tdis' and the inside set to 'fmod'. If a midget were at the center, the image might have rated a 6. As it is, the image rates only a 5, which is average. The calculation time of 2-3/4 minutes is true on the new fractal- dedicated computer, a P4-2000mhz unit. On the old P200 it would take about 14 minutes. But incidentals such as calculation times can be ignored by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the divine ear there. A partly cloudy and rather chilly day with a temperature of 64F 18C here at Fractal Central on Friday went totally un-noticed by the fractal cats, who were more concerned with chasing each other up and down the hallway. My day was totally average. With any luck, tomorrow will be the same. The next FOTD will appear in 24 hours. Until then, take care, and watch your words. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Ear_of_God { ; time=0:02:48.51-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.397995/-3.53557/4.956733/1/150/3.269\ 9953855797048e-012 params=-11/-1.1/-1/-11/0/525/0/0 float=y maxiter=1500 inside=fmod proximity=1 outside=tdis periodicity=10 colors=000KoOLoOMoOOnNPnNQnNRnNTmNUmNVmMXlMYlMZlM_\ lMakMbkLckLejLfjLgjLhjLjiKkiKliKnhKohKphKqhKliOhiS\ djV_jZWkbPmlRlhSkeTjbUi_ViXWhUXgRYfOZeL_eIYoWzmGWc\ GVbFTbESaERaDQ`CP`CN_BM_ALZAKZ9IY8HY8GX7FX6EO6CP5B\ Q4AR49S37T18U39V4AW5BX6CY7DZ8D_9E_BF`CGaDHbEIcFIdG\ JeHKfILgKMhLNhMNiNOjOPkPQlQRmRSnTSnUToVUoWVqXWrYXs\ ZXs_YrZZqZ_pY_oY`nYamXbmXblXckWdjWeiVehVfhVggUhfUh\ eUidTjcTlgRjcTi`UhYVgVWfSYePZdM_cJ`bGbaKc`Pd_UeZZf\ _ag_dh_gi`ii`kj`mkaolaqlarmbsnbtobuoYvpYwt`wtYwtYv\ tYvtXutVutTttRttPstNstLrtJrtHqtFqtDptBotAot9nt9mt8\ lt8kt7jt7it6ht6gt5ft5et4dt4ct3Zt3Yt3Xt5Vr6Uq8Tp9So\ BRnCPmDOlFNjGMiILhJKgKIfMHeNGdPFbQEaRC`TB_UAZW9YX8\ XY7WW9UVBTTDSSEQQGPPIONJMMLLKNKJOJIQHGSGFUFDVDCXCA\ ZB9_97a86c75d6Dd8LdAOd5SaCL_IEMP7DV04`A7YF9WKBUPDR\ UFPZINcKLhMImOGpQEsQApSCkTEgVGcWI_YJWZLS`NOaPKcQGd\ SCfU8gW4hXIiPEkPGmOHoOIpO } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Heart Shaped Orbit Traps
by Paul N. Lee 18 May '07

18 May '07

Greetings, Recently Stephen C. Ferguson posted some of his latest images to the A.B.P.F. Usenet Newsgroup <news://alt.binaries.pictures.fractals/>. Those images had been created with his "EmberJ" Java program. One particular image caught my attention because Steve was experimenting with orbit traps and came up with a heart shape method. Here is part of the formula: // Hearts xtmp_ = Math.sin(xtmp+ytmp)+ytmp*ytmp; ytmp_ = Math.sin(ytmp+xtmp)+xtmp*xtmp; xtmp = xtmp_; ytmp = ytmp_; It is very simple math that creates the heart shapes. I thought I would pass this along to those that may find it interesting and useful for their own images. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 18-05-07 (Rare Flowers [6])
by Jim Muth 18 May '07

18 May '07

FOTD -- May 18, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today we journey to the land that is created when 7 negative parts of Z^(-1.07) are combined with 0.7 negative part of Z^(-7.1) and (1/C) is added, and then the fractal is brought to a state just short of being totally 'evaporated'. The unevaporated parent fractal is an immense thing consisting of several huge bays, a prominent 'fan' and countless 'rings'. Today's image is located in a bit of cut-off debris near the fan. I named the image "Rare Flowers", even though it bears little resemblance to any flower I am familiar with. Considering the overly-brilliant values, the rating of a 6 seems appropriate. The calculation time of 41-1/2 seconds is true on the P4-2000 machine. But regardless of how fast a parameter file is, running one is always a minor task. But this task may be eliminated by viewing the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a temperature of 66F 19C made things pleasant for both humans and cats here at Fractal Central on Thursday. The cats spent several hours in the sunniest window, but when the sun kept coming and going between clouds, they finally decided to keep warm under a lamp. My day was quite busy again, but as today's image shows, a day is rarely too busy for a trip to fractal land. My next trip will happen in 24 hours. Be sure to check back here at that time to see what I find there. Until then, take care, and if life serves you a fractal, make . . . . fractalade??? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rare_Flowers { ; time=0:00:41.36-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+9.8008552903/+3.1509873292/742801.7/1/\ 157.5/0 params=-7/-1.07/-0.7/-7.1/0/1.2e+014/0/0 maxiter=1500 inside=bof61 periodicity=10 colors=000rinoillijiihfifcid`ibYjaVj_SjYPjWMjUJjSG\ jQDjPHfSKbVOZYRV_VRbYIe`JhdFjgBmk7pn3sq0urAksJbsTU\ taKukBut2pp8llDhhIddN``SWXYSTbOPgKLlTH`CEvFGrHIoJK\ lLMiNNfPPcSR_UTXWUUYWR_YOa_Lc`IbYHaVG`SF_PFZMEZJDY\ GCXDCWABP7AU49U19X9EZHI`PNbWRecWkk_ssdzzhvvirrimoj\ tpjngkoiko`lpalpUmqQmqNntJnrGnoIolJplKpfLqcMr`NrYO\ sVPtSQtPRuMSuLWrKZpJamIdkHghGjfFmcEzaEs_KpSQmLmzE`\ g7ee0GQuy`7tKXo4ul8piClgGhdKdbO`_RXYVTVZPTbLQfHOiD\ zzGSdJUbMV`OXZRZXU`UXaSZcQaeOdgMgIYtmJlhKicLgZLdVM\ bQN_LNYGOVDINCLQCOTCRWCTYCW`CZcBafBchBfkBinBlq1ss6\ psBnsFlsKjsOhsTfsXdsabspczjave`s`_pVZmQYjLXgFWdAVa\ 5iD5aO5UZ1Jo3Ll5Ni7Of9QdBSaDTZFVXHXUJYRL_ONaMPbJRd\ GTeEIgL5gR8hSAhSChTEhTGhUJhULhVNhVPhWRhWUhXWhXYhY_\ hYahZchZfeWhcUk`RsnOpfPmZPkSQhKQfDQlMXrVcwbjxdYyfM\ yhAu`LqTWnLehK`bKWXKR7I1HJCRKMP3EVCN_KWeScj_logtmd\ plalkZijWebefgfilgkqhnuhp } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Martian Fractal
by Lee H. Skinner 17 May '07

17 May '07

Hi, All While looking at Mars images this morning, I snipped this portion of one showing an unusual combination of two craters. (I didn't even rotate the image!) Paul Lee has put the photo on his website at: http://home.att.net/~Paul.N.Lee/Mandelbrot_Crater.png The full image is at: http://hiroc.lpl.arizona.edu/images/PSP/PSP_003273_1675/PSP_003273_1675_RED… Cheers, Lee Skinner

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FOTD 17-05-07 (Satellite TV [6])
by Jim Muth 17 May '07

17 May '07

FOTD -- May 17, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image reminds me of a ring of satellite TV dishes, so I named it "Satellite TV". It is actually a scene in the grossly oversized parent fractal that results when 5 negative parts of Z^(-1.3) are combined with one negative part of Z^(-3.1) and (1/C) is added. When it is finally squeezed onto the screen, this parent fractal is seen to be a single large Mandeloid bay with 3 large buds, each competing to be the prominent bud. A filament extends from each of these buds and terminates in a ring. The largest rings are located northwest and east of the large bay, with today's image located where the filament joins the large eastern ring. The rating of a 6 does justice to the image, and the calculation time of only 53 seconds on the almost-S.O.T.A. P4-2000 machine makes calculating the included parameter file a breeze. And those who would rather avoid high winds may view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Things were much less pleasant here at Fractal Central on Wednesday. The day began with sunshine, but by late morning the clouds moved in, and light rain fell through most of the after- noon, while the temperature hovered around 70F 21C. The fractal cats paid scant attention to the rain. They were more involved in watching for squirrels. My day was quite busy, but I kept things under control. The next FOTD will appear in 24 hours. Until then, take care, and be at ease with the intricacies of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Satellite_TV { ; time=0:00:53.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+51.82836052591048/-42.36598795380647/\ 1.507148e+010/1/-32.264893292778666/-0.08747463235\ 98468573 params=-5/-1.3/-1/-3.1/0/3500/0/0 float=y maxiter=1600 inside=0 logmap=214 periodicity=10 mathtolerance=0.05/1 colors=00000G11H22I43J64M85MA6QC7PE8UG9TIBYKDYMFaO\ HbQJeTMcVOfYQc_TcaVadX_f_ZiaXkcVnfUpdSrjRpgOoiLniI\ miGkhDjhAih8hh5ff2ed0dc0cb0ba0``0__0ZZ0YY0XX0WW0VV\ 0UT0TR0SP0RN0QL0PJ0szbrwYquTpsOoqJnpEmn9lm4mk0mj0n\ h0ng0oe0pd0pb0qa0r_1rZ1sX1sW1rW3qX4pY6pZ8o_9n_Bm`D\ maElbGkcIkcJlcNyeVvdUcGW_ORWWMTcHPkCMr7GkJAeU5_dC`\ aIa_g_NOaYVbW`bUfcSLGYPJXSMWWPVZSUbVTeYSi`RWLK_PMD\ 20C30A309407506604603701800801D12I33M54R75W96_B7dD\ 8hEG4hLAZQGPULFZR5bW0dU0eS0fQ2gO4hN6iL8jJAkHClGEP`\ PT_PXYPaWQeVQiTQnRQrQQvOQzNQyORyPRyQRyRSySSxTSxUSx\ VTxWTxXTxYTtYQpYOmYLiYJeYHbYEZYCVY9SY7OY5KY2HY0DY0\ 9Y06Y05X05X04X04W04W23W43V62V72V92UB1UD1UE0TG0TI0T\ J1VL2WN2YP3ZQ4`S4aU5cW5dX6eZ7g`7hb8jc9ke9mgAniAojC\ nkDnkEnkFnkHmkImlJmlKmlMllNllOlmPlmRkmSkmTkmUkmRjl\ PjlNilKilIilGhlDhkBgk9gk6gk4fk2fk0fk8VhFKfM9dTVUZp\ JWnHUlGRkFPiEMhDKfCIdBFcA } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 16-05-07 (Sanctified Station [6.5])
by Jim Muth 16 May '07

16 May '07

FOTD -- May 16, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: With today's fractal we return to the well-used MandelbrotBC2 formula and examine the Z^(1.618)+C Mandeloid as it appears 74 levels down the logarithmic ladder. At this level it resembles a Mandelbrot set with its main bud facing southeast and its East Valley flattened out and filled with chaos. Today's image is located in some of the farther-out debris in the area of what passes for East Valley. The name of the image has nothing to do with a blessed railroad station. When I shut off my mind in search of a name, the phrase "Sanctified Station" popped into my head. So this is what I named it. When struggling for a rating I was undecided between 6 and 7. I resolved the conflict by giving the image a rating of a 6-1/2. If the central midget were a bit more prominent, the rating would have been a 7. The calculation time of 2-1/3 minutes is true on the ancient workhorse P200 computer. The more S.O.T.A. P4-2000 unit would finish calculation in about 30 seconds. But calculation time will be no problem for those who visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted for instant and easy viewing. Wednesday proved to be unusually warm here at Fractal Central. The hot sun and temperature of 88F 31C kept the fractal cats away from the sunnier windows. My day was busier than average, but not excessively so. The next FOTD will appear in 24 hours. Until then, take care, but stop taking care long enough to enjoy the Fractal of the Day. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sanctified_Station { ; time=0:02:23.08--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.8449604577846213/+1.512609951022948/\ 1.830674e+007/1/22.5/3.0546204665693466e-006 params=1.618/0/-74/0 float=y maxiter=12000 inside=0 periodicity=10 colors=000IGNHELGDKECIDBGCAFA9D98B86A6585464352231\ 111wf0qa0kY0eU0_P0UL0OH0IC0C8064xL_tJYqIWnHUkGSgFQ\ dEOaDMZCKWBIS9HP8FM7DJ6BG59C47935623311iz``ljWfdSa\ _OWVKRQGLKCGF8AA455nhzkevhcse`obZl_WhYUeVRaSPZPMVM\ KSJHOHFLECHBAE87A557223_`bUUWOOQIIJCCD666l_9Oz4KGX\ IFVHETGDRFCPEBNDAMC9KB8IA8G87EzXJzVKzUKzTLzRMzQMzS\ NzUNzWOzYPz_PzaQzcQzeOzg1pENmDLiCKfBIcAH_9FX8EU8DQ\ 7BN6AK58G47D35A246123012mm1hh1cc1ZZ1UU1PP0KK0FF0AA\ 05538i26_14R13I019R3KM2GI2DD1A916403Wq9Un8Tl8Sj7Qh\ 7Pe7Oc6Ma6L_6KX5IV5HT4GR4EO4DM3CK3AI39F28D26B15914\ 61240120lxbgrZclVZgSVaOQXLMRHHMEDGA8B7453rVumSohPj\ cMeZJ_UGVPEQKBLF8FA5A5258hn6Xa4MP2BChLEeKDcJCaIC_H\ BYGAWFAUE9RD8PC8NB7LA6J96H85F74C64A53842632421210r\ mmniikffgccd```YYYVVUSSRPPOLLKIIHFFDCCA99666333TBL\ RAJP9IO9HM8GK7FJ7EH6CG6BE5AC49B4893783562441331210\ 1Y9gSOZQMXPLVOKUMJSLIQKHP } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 15-05-07 (The Lost Minibrot [5])
by Jim Muth 15 May '07

15 May '07

FOTD -- May 15, 2007 (Rating 5) Fractal visionaries and enthusiasts: For today's image I resurrected the original Mandelbrot branch cut formula, MandelbrotBC1. This version actually is more versatile than the MandelbrotBC2 formula that I use quite often. Instead of having the 'floor' function hard coded, like the second version of the formula, BC1 lets the user choose any function. This ability can be quite useful, since most of the available functions make unique and quite interesting fractals. In today's image we examine the Z^(1.09)+C Mandeloid as it appears 10.6 levels up the log ladder when the 'sin' function is applied and the escape radius is raised to 1600. At this level the parent fractal resembles a distorted Mandelbrot set rotated 180 degrees. Except for the large period-2 bud, this set is without buds, but the shoreline of the main bay is edged with interesting chaos. Today's image lies in the East Valley area of its parent, which is actually on the west side of the main bay. Believe it or not, there actually is a midget far down at the center of the image. But waste no effort trying to reach it. The midget lies far beyond the breakdown point. Because the midget will never be seen, I named the image "The Lost Minibrot". Then I rated it at a 5. Some interesting debris is floating through the image, and some curious debris patterns are starting to emerge, but there is too much chaos and too little order for a higher rating. The calculation time of over 17 minutes on the P4-2000 would be over an hour on the old P200 unit. To save time, I have sent the finished image on ahead to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for quick enjoyment. Monday began clear, with a very cold temperature of 30F -1C here at Fractal Central. And yes, if there had been any pumpkins in the field, they would have had frost on them. But by the time clouds arrived in mid morning, the strong May sun had warmed the air to 66F 19C, where the temperature stayed all afternoon. The fractal cats were exceptionally active for most of the day. My day was a bit busier than usual, resulting in a fractal that is a bit less worthy than usual. Better things will happen tomorrow however, so until the next FOTD appears in 24 hours, take care, and be careful what you iterate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Lost_Minibrot { ; time=0:17:22.32-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=sin passes=1 center-mag=-1.35514864109703900/-0.138026541520764\ 20/2.473146e+012/1/-90/3.8857806e-016 params=1.09/\ 0/19.6/1500 float=y maxiter=3600 inside=255 logmap=1740 periodicity=10 mathtolerance=0.05/1 colors=000Kedmzdmzdmydcxdjsdjvdhu_csVZqQUoLPmGLkBL\ h6Ld5La5LZ5LW5MT5MQ5MN5MK5MG5ME5NC5NA5N85N65N45N25\ L15K05J05I05G05F05E05D05C05A0590580570560540530520\ 510500500510731943A64C75E87FA8HB9JDBKECMFDOHFPIGRK\ HTLJUMKWOLYPNZRO`SPbTQcMVZG_VAcRP_AGd66i50o50m50l5\ 0k50j50i50h50g50e50d50c50b50a50`50_50Y50X61W61V71U\ 71T81S82Q92PA2OA2NB3MB3LC3KC3ID4HD4GE4FE4EF5DF5CG5\ AG59H68H67I66I65J05Q64JD3DK27Q05R15S25T35T45U55V67\ W78W89X9AYABZBDZCE_DF`EGaFHaGIbHKcILdJMdKNeLOfLQgM\ RgNShOTiPUjQWjRXkSYlTZmU_mV`nWboXcpYdpZeq_fr`hsais\ bjtckudludmnehhfcbf_WgVQgRKhMDhQ7iV0h_1id6iiBjmGjq\ MjqRkqWkq_oq`kq`hquhquaquoqulqcSqcZqcZqdZqdUqeUqeU\ qfUqfUqgUqfUqeUqdUqcUqbUqaUq`Uq_ZqZZqYZqXZqWZqWZqV\ ZqUZqTZqScqRhqQmqPrqOrqNrqMrqLrqKrqKrqJrqIrqHrqGrq\ FrqErqDrqCrqBrqArq9rq8rq8sqBqqDrqFrqHrqJrqMrqOrqQr\ qSrqcrqcrqdrqdrqdrqdrqerq } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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RE: DOS Fractint error. Horizontal streaks FIXED
by Hal Lane 14 May '07

14 May '07

================================================== Both periodicity=0 and periodicity=15 fix the artifact described in my previous post below. (Periodicity was 10 in the fractal with the artifact.) Periodicity is on the Fractint <Y> screen. Jonathan Osuch said: >Turning periodicity off [ =0 ] is the better solution, as long as you don't >need the periodicity checking because you have a lot of pixels in the >lake along with a high iteration count. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### Hal Lane said: >DOS Fractint error. Horizontal streaks >in fractal in View Window. This is a zoom out to >the parent fractal of Jim Muth's FOTD 07-05-09 >displayed in a View Window. > >As the View Window size is increased by changing the >Size Reduction Factor from 8 to 6 to 4 the number of >horizontal streaks decreases. > >The fractal calculates correctly when the View Window >is turned off. Parm file is [in previous post]. > >I use the View Window a lot, but I don't see this too often. > >I had thought that passes=1 kept these streaks from >appearing... > > >Does anyone have any ideas what causes these horizontal >streaks when using the View Window and how to avoid them? >============================================ No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.7.0/803 - Release Date: 5/13/07 12:17 PM

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FOTD 14-05-07 (Red Eyes [7])
by Jim Muth 13 May '07

13 May '07

FOTD -- May 14, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image was generated when I combined 11 negative parts of Z^(-1.1) with one negative part of Z^(-6.1) and added (1/C) to produce a humongous parent fractal with one large 'fan' and countless ringlets. Today's scene is located in a ring close to the 'fan'. I named the image "Red Eyes". The reddish spots surrounding the invisible midget at the center do appear somewhat like bloodshot eyes. The center midget is invisible because it is filled in with 'bof61' inside fill. In fact, the entire image is 'evapora- ted'. It consists totally of inside material, which has been brought to life by the 'bof61' inside fill. The calculation time is a very brief 54 seconds on the P4-2000 unit. This is probably a shorter time than would be required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the completed image there. Mother's Day Sunday was as fine a day as ever happens here at Fractal Central. Even the fractal cats agreed that the crystal clear skies and temperature of 66F 19C could not be improved upon. My day was about average. Tomorrow is expected to be the same. The next FOTD will appear in 24 hours. Until then, take care, and be careful of fractal intricacy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Red-Eyes { ; time=0:00:54.38-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-3.56807340931469200/+0.097041418150803\ 29/1.18379e+009/1/-127.5/0.00370419769964318302 params=-11/-1.1/-1/-6.1/0/1e+100/0/0 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000vbes_hpXkmVmiSpfPscMvDCHPGbh3Nf8XdCebGon\ 5ck8hhBleEpbHtqXwmUxjRxfPxcMx5xBDmOLc_TUlBriO`qfx3\ doFcgRb_aaSmH_gRSp0E5pkTld`hYhdRp34986GC8MGATKCZPE\ eTGkXIrHkkKgmNcoQ_qgHjZ`YQsLSnRTjWUf`VbfWZkXVpVasT\ huRowQuyLijGZWCOHBLJAIL9GMAAmJEiRHfZKcfN`nQYmT_lVa\ kYck_ejagidihfkhhlfbjdXicRhaLg_FfZ9ebBgfDijFknHlrJ\ nvLpyMqsXsnftipvdzw`svYmuUgtRasNWrKQqGKpDEoMJeVOXc\ TNkYEXVJJSN5PR7NP8MO9LNAKMBJLCIKDHJEGIHJNKMRNPWPR_\ SUdVXhY_m_aq_n_dq`hx`YjMN`7kkvnWspHqr2oo3jm4ej4`h5\ Xf5Se6Nd6Jg5Gj4Ek3Bl29l17nAGoIPrQXtYewenymvzZ0_99C\ 5IHAMLFQQKUPKPYU`c`gRPWONTLLRIJPdAwYOjS`ZLzMzzAHrD\ JkGLdINaOPZTRXZTUcVRhXPnZMsCANGCTKDYNFcRGhUInYJsPb\ sSZtUVuXRvZNwzuMUA4zzs7Fw1Fz3Mp4Tg5_Z7rz8mG9s7PmKc\ hXrciw2vt5wq7wn9wkBwhExeGxbIxarW`m``hd`ch`Zl`Up`Pt\ s`BqfyYJAZKR_KgMTZPRbRQfTPjVNmXMqZLuWyhXplYhoZ_r_S\ uYUZZSbZRf_Pj_Oz`Mq`Luzeb } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 13-05-07 (Candy Carnival Corns [7])
by Jim Muth 13 May '07

13 May '07

FOTD -- May 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: The parent of today's image came about when I combined negative (1/Z) with Z^(-1.3) and added (1/C) to create a curiously distorted Mandeloid with its main period-2 bud hidden beneath a patch of low-iteration stuff. Today's image is located where a network of filaments vanishes behind another patch of low- iteration stuff. I named the image "Candy Carnival Corns". I never did outgrow my taste for those outrageously sweet triangular orange, white and yellow candies. The rating of a 7 reflects my above-average opinion of the image. The calculation time of 3-1/3 minutes is true om the new P4-2000 machine. The old P200 would have taken around 15 minutes to finish the job. All this calculating may be avoided by taking a virtual journy to th FOTD web site and viewing the completed image there. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday started with near perfect weather, but by mid-afternoon the clouds moved in and light showers began to fall. The fractal cats paid no attention to the rain. They were too busy entertaining themselves with their stuffed toys. My day was busier than usual for a Saturday, but by the time the rain arrived, the work had been finished. The next FOTD will appear in 24 hours. Until then, take care, and become a third- degree fractalist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= CandyCarnivalCorns { ; time=0:03:22.29-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.07340647874192174/-0.530996539718394\ 00/1.874842e+007/1/82.4999996251260228/1.471117287\ 47428838e-006 params=-1/1/1/-1.3/0/0/0/0 float=y maxiter=2500 inside=0 logmap=370 periodicity=10 colors=000B0X90`70c60f92aB3YD5UF6QH8MJ9ILBENCAJBDF\ AFC9H88J47L16N6BMBGMGLLLPLQUKVZK_cJcgJ_`KWVKSPKPJK\ MAZJ1mMHqPXuSkx3ZdH_XV`PhaIg_FfYDeXBdV9cT7bS5eVAgX\ FzXvkaOncTpfYrhbtjfmULfD0gBDhAPi8aj7mj6ykFslOmmXgn\ eanmWrkWviWyhWteXpbXl`XhYXdWX`TXXRXWLTWFQW9NV7RV6U\ V4XV3`V1cV0ffthikakbWmVQpMKrDEt58r6Ap6Bn6Dl6Ej6Fh6\ Hf6Ie6JoYipSbqNXrHQsCKt6Du17tA6sI5sQ4rY3re2qm1zr0o\ dAYCck7SZDuYOcYZMYh4CBqPMj`WclfXxpQyVGz96sCClFIeHO\ _KTTMZMPdGRiHQhIPgIPfJOeKNdKNcLMbLMaTKU`INhGGpE9wD\ 2tH5rL8oPAmTDjXGh`IedLcgNcaOcXPcSQcNRcIScDTaFV_GXY\ HYWI_UJaSKbQLdOMeQQXRTPTWGUZ8__Fe`MkaTqb_wcekXe_Qe\ OJeDDetikslfrobqqYptUowPnzLgzOezQczTazV_zXYz_WzaUz\ cTzfSuiRpkQknPfqOfsQfqSfoUfmWfkYfj_fqakgcpZeuagzdi\ zgkzdmzboz`qzZszXuzVzzhxzuyzrzzozzmzzjzzgzzezzbzz`\ zzWzzRzzNzzIzzDzz9zz4zz0zz7zzDzzJzzPzzVzz`zz_zzZzz\ YzzXzzWzzVzzUzzSzzQzzQzzU } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Fractal widgets...?
by Tony Hanmer 13 May '07

13 May '07

I've just been searching for widgets to add to one's blog, under the term "fractal". Seems there aren't any. I was thinking, for example, of something which lets the blog viewer input coordinates for the Mandelbrot set, by numbers or by pointing the mouse; or allows one to try out iterations of a choice of L-systems, or to play with holons of an IFS. These would be really cool to have. Anyone interested in programming such? Tony Hanmer

3 4

Re: Fractint Digest, Vol 51, Issue 7
by jackoftradez＠comcast.net 13 May '07

13 May '07

. C:\DOS C:\DOS\RUN RUN\DOS\RUN! .

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FOTD 12-05-07 (Apparition Root [6])
by Jim Muth 12 May '07

12 May '07

FOTD -- May 12, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image is found rather deep in a valley on the southwest shoreline of the S-shaped main bay of the parent fractal that results when the formula Z^sqrt(2)+C is iterated 130 levels up the logarithmic ladder. The image is unusually rich for one found in a fractal created by an exponent of Z between 1 and 2. Usually fractals in this range hold far fewer spirals and much less intricate detail. Except for the brilliant blue inside fill, the image was rendered in the traditional equal-iteration-bands manner. All the excitement is due to the fractal itself and not to any human manipulation. I named the image "Apparition Root" for no obvious reason. Then I rated it at a 6, which seems about right. The calculation time of 14 odd minutes may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Friday began with dense fog here at Fractal Central, but by 9am the sun had done its work, and the rest of the day was perfect, with sunny skies, gentle winds and a temperature of 81F 27C. The fractal cats passed a good part of the day sitting in the window, watching the world go by. The rest of the time they spent chasing each other up and down the hallway. My day was busier than normal, but not extremely so. The next FOTD will appear in 24 hours. Until then, take care, and be at one with fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Apparition_Root { ; time=0:14:22.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.26354287579943400/-0.456797947395005\ 10/7.112779e+008/1/-75/3.7304841097131336e-005 params=1.4142/0/130/0 float=y maxiter=14500 inside=255 logmap=1110 periodicity=10 colors=000F_PGrOIpNJmMKkLMhJNeIPcHQ`GRZFT_HU`JVaLW\ bNXcPYcRZdT_eV`fXagZbg`chbdidecefdgaihhjjijjj`ff_f\ nVklfgkdfibehXeePdeTddVdbTdaRc`QcZJcYOcXNbRMbQKbSI\ bRGaQEaOCaNAaMA`KA`JA`HA`GAZFAZDAYCAXBAU9AT8AR6AQ5\ AO49O28O17O06O17N17N27O28O38P38P49O49P59Q59Q6AR6AS\ 7AQ7BP8BO8BN9BM9CMACKACKBDJBDICDHCDHDCIECIFCIGCIHC\ IICJJCJKCJLCJMCJNCJOCKPCKQCKRCKSCKTCLUCLVCLWCLXCLX\ CLWEMVFNVGOUHPUJPTKQTLRSMSRNTRPTQQUQRVPSWPUWOVXOWY\ NXZMY_M__L``LaaKbbPdbUecZfdcgechfcjfckgmmhzrizwiwr\ eCmaBhY9bV8_R7XN5UK4RG3OC2L9HTKV_Uhfcvmmli`cfPVbDM\ _1NZ2OZ2PZ2PZ3QZ3RZ3SZ4SZ4TZ4UZ4VZ5VZ5WZ5XZ6XZ6YZ6\ ZZ7cZ7hZ7mZ7rZ8sZ8tZ8uZ9vZ9wZ9zZAw_AuaAscAqeBogCmi\ CkkDikEglEemFcmGanG_nHYlHXkIWhJVgJUgKUhLThLSiMRjMQ\ jNPkOOkOOlPNmQMmQLnRKnSJoSIpTHpTHqUGqVFrVErWDsXCtX\ BtYAuYAuZ9v_8w_7w`6xa5xa4yb4ybMtZNsYNrYNqYNpYOoYOn\ YOmYOlYPkYPjYHrQFuRDxRpzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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DOS Fractint rendering error
by Hal Lane 11 May '07

11 May '07

======================================================= DOS Fractint error. Horizontal streaks in fractal in View Window. This is a zoom out to the parent fractal of Jim Muth's FOTD 07-05-09 displayed in a View Window. As the View Window size is increased by changing the Size Reduction Factor from 8 to 6 to 4 the number of horizontal streaks decreases. The fractal calculates correctly when the View Window is turned off. Parm file is below. I use the View Window a lot, but I don't see this too often. I had thought that passes=1 kept these streaks from appearing... Does anyone have any ideas what causes these horizontal streaks when using the View Window and how to avoid them? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### BEGIN PARAMETER FILE========================================= ImagInterlude_Err { ; Hal Lane 07-05-09 3.3 P400 128x96 ; DOS Fractint error. Horizontal streaks ; in fractal in View Window. Zoom out to ; parent fractal of Jim Muth's FOTD 070509 reset=2004 type=formula formulafile=_m.frm formulaname=mandautocritinz function=recip passes=1 center-mag=3.63798e-012/-1.81899e-012/6.832e-005 params=-5/-1.1/-1/-5.5/0/-40/0/0 float=y maxiter=1600 inside=fmod proximity=1 periodicity=10 viewwindows=8/0.75/yes/0/0 sound=off colors=000WY8WZ4<2>HCE<2>GEJGFKEEo<3>8Ni7Ph5Rg<2>1Xc<3>\ 6gf7jg8lg<2>Bti<8>BRoBOpBLq<3>B8s<5>UHnYJm`Kl<3>lQiQV5<\ 3>dQNhPRlOWpN_sMc<3>lSbjTbiUa<2>dYabZa`aZ<3>dVieTlfSngQ\ qhOtgLy<7>lUflVdmWb<3>o_UrcR<7>aNW_LXYJX<2>SDZQB_MGKO9_\ <3>U7ZV7Z000QSq<3>DEmAAl76k43j<2>25N25G38F<3>7JC8LB9OAA\ RABTA<3>FdUGgZGjcHmhIpm<2>JzzUWV<2>z8f<3>bMYXPWRSU<2>Aa\ O<3>JhVLjXOkYQm_wzaUpbWrdzzzXqb<6>VgNUeKUdI<3>TZ9<4>TUC\ TTDTSD<2>TPFTOFVQD<4>__7`a6ac5<3>ej0<3>mT1oP1qL1<2>w81<\ 3>u67t69t6A<8>e9ccAgaAj<2>XBtWBwWDr<8>WUG000 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE========================================= No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.6.8/797 - Release Date: 5/10/07 5:10 PM

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FOTD 11-05-07 (Toward the Light [6])
by Jim Muth 11 May '07

11 May '07

FOTD -- May 11, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image reminds me of a NDE or near-death experience. I named it "Toward the Light". All the standard NDE stuff is there, including the narrow doorway at the end of the brightly- lit tunnel and the celestial clouds, filled with nebulae of stars. I leave it to the viewer to decide whether paradise lies beyond that distant doorway at the end of the tunnel, or the whole thing is an illusion of an oxygen-starved brain. One thing for certain is that today's image rates a 6. I briefly considered rating it at a 7, but on second thought decided on a 6. The tunnel effect is not quite strong enough to earn a rating of 7. Actually, the little midget near the center is an exact copy of its parent fractal, which is a large northwest-southeast- oriented, flat oval-shaped bay with a field of fractal chaos extending some distance to the northwest. But today's image is located off to the side, in some suburban debris on the north- east side of the large oval main bay. The calculation time of 55 seconds is true on the P4-2000 unit, but even on the P200 the time would be no more than 5 minutes. The P4-2000 has 10 times the clock speed of the old P200, but calculates fractals only 5 times as fast. All this confusion about time may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Thursday started fair enough here at Fractal Central, with lots of sun and a temperature in the 70's F, low 20's C, but clouds moved in just after noon, and a thunder-shower arrived at 4pm. All of this went un-noticed by the fractal cats, who spent most of the day sleeping like they were already over 15 years old. My day was notably average. The next FOTD will appear in 24 hours. Until then, take care, and search for those elusive alternate universes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Toward_the_Light { ; time=0:00:55.70-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+1.1894422532\ 06258/+4.118993571150736/8.056414e+007/1/-100/8.45\ 041294705306534e-005 params=1.11/0/11/3500 float=y maxiter=2700 inside=0 logmap=153 periodicity=10 colors=00000FeQMufQVPO48N89QB9TEAVHAYF4WOBbRCeUCgQ\ AfL8fH6fC4f82f40f73dA5jC7lFAnHCpKErMHtPJvRLwOKvLJn\ IJuFItCIt9Hs7Hs8Kp8Nm8Qj9Th9We9ZbAa_AdYAgVBjSBmPBp\ NCsKCvHUfFcxItwKzzztuOmtQcsSUrUWqWZpY`l_cnaemc_ofU\ qiOrlItoCvr7wtBvsFzzJtrNsrRrqVqqYpqaopenpimomlozzz\ ujnxinyhpzhrzhtzhvzhwzfnzdfzbYz`QzWOzSNzOMzJKzFJzB\ IzO4zN8zNCyNGxNKwMOuMSsMWqM_oPYmRWkTUiVSgYQe_PcaNa\ cL_fJYhHXjGVlEToCRqAPs8Ot7MuALvCKwEJxHIyJzzLzzOzzQ\ zzSzzVzzXzzZzz`zzMzzLzzLzzLzzLzzLzzLzzLzzLzzUzzWzz\ Yzz_zz`zzbzzdzzezzgzzizzjzzizzhzzjzzazzazzbzzbzzUz\ zLzzDzzEzzFzzFzzGzzGzzHzzHzzAzz4zzRjzSyzTuzLrzEszB\ tz8uz5uz3jz9`zERzJWzL_zMdzNhzOmzPqzQazZbzRbzKbzDWz\ LQzTJz`DzhJzYOzOUzDZz3VzARzHOzNNzSMzWLz_KzdJzhIzlH\ zpAzo4zoFzpQzq_zrjzstztnzphzlczhYzeSzaNzYHzUCzRBzU\ AzX9z_9zbQzW_zbhzhqznnzgkzaizWfzPdzJazDEzAHz7Kz5Nz\ 3Qz1Xz5cz8izBKzBMzDNzFOzH } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 10-05-07 (The Edges of Infinity [6])
by Jim Muth 10 May '07

10 May '07

FOTD -- May 10, 2007 (Rating 6) Fractal visionaries and enthusiasts: When we see an escape radius of one googol in a fractal with only negative powers of Z, we know that the image shows an 'evaporated' fractal. Today's image has an escape radius of one googol and the powers of Z are -1.5 and -5.5. Therefore, the image is 'evaporated'. Evaporated fractals consist of only 'inside' stuff. All points are trapped. When rendered in the normal equal-iteration-band manner, an 'evaporated' fractal will not be a fractal at all. It will be a blank screen. But apply an active 'inside' fill to that blank screen and watch what happens. I rendered today's image with the inside set to 'bof61', which colors the points according to the number of the iteration that takes the points closest to the origin. The result is an image that rates a 6. The parent fractal consists of 4 bays, many fractal rings, and a prominent 'fan'. Today's scene is located in the interior of the fan. After a bit of meditation, I named the image "The Edges of Infinity". And why not? It's hardly possible to get closer to infinity than the googol that the points in today's fractal are allowed to wander. (Yes, I realize that 10^100 is no closer to infinity than just plain 10.) The render time of 2 minutes is true on the new fractal- dedicated computer -- a 2000mhz P4 unit. On the old P1-200mhz the image would have taken around 12 minutes, which is still within reason. Even more reasonable is the FOTD web site, where the completed image is posted for easy viewing. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another perfect day passed unappreciated by the fractal cats here at Fractal Central on Wednesday. They were totally uncon- cerned with the sunny skies, light winds and high temperature of 84F 29C. They did concern themselves with their evening treats however. My day was unexpectedly busy, but the job was a small one and was finished by the middle of the afternoon. Tomorrow will likely be the same. The next FOTD will appear in 24 hours. Until then, take care, and the light is right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheEdgesOfInfinity { ; time=0:02:07--SF5 on a P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.537981778375796/+0.06779821367610976\ /3.416741e+010/1/147.5/-0.0575485351264499873 params=-5.5/-1.5/-1.5/-5.5/0/1e+100/0/0 float=y maxiter=1600 inside=bof61 periodicity=10 colors=000XaYTbVPcSLdPHeMDfKLaRTYX`UbhPhpLnxHtrIpm\ JlgKibLeYMaSNZNOVIOSJNTKNULMVMMWNMXOLYPLZQL_RK`SKa\ SKaRN_QQZPTXOWWNZUNaTMdRLgQKjOJmNIpLIrKJjRJcXKXbKQ\ hLJnLCtL5zUJtbXnkjhtwcusduodvldvheweewaexYfxVfyRfy\ OgzKgzHgwGhtGiqFjnFjmIklKkkMkYOUiQkVSXgUkPRTeZkd`k\ cbkbdkafk`hk_jkZlkWihUfeScbQa_OZXMWVKTSIRPGOMELJCJ\ HIPFOUDU_B_d9ei7ko5qt3vy1mx5dx9WxDNxHExL6xOAyLDyIG\ yFJyCHkNFYXHRWIKVJDUK6TLAYMEaNHeOLiPPmQSqRWuSZytTl\ tEvmSpgekmI9fLA`OBVRCPUCJXDD_E7bEEeGLhHSjJZmKepMkr\ N_kOPeOEZO3TOmWDdZHWaLOdPFgT7iWwGndQTbJMaDF_68Z02V\ 59S9FPDLLIRIMXFQb9bS4oIBpLIqNPrQWrSbsUitXpuZvu`sn_\ qh_ob_lX_jR_hL_fF_iYpeNmI8xNCwSGvWBzXKvXTrYananhYi\ kVdmS_oOVqLQsHOwILuJJtJHsKFrLCqLApM8oH1mM6nQAnVFnZ\ JncOogSolXot_vp`ol`hi`ae`Va`OdZBZ`ITaOObUUc__deedk\ keqvazpewkhtfkqannXqlVogUmcSl_RjVPiROgNOkHNfJNbKNY\ LNUMMQNMLOMHPOEPMDQdZc`_` } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 09-05-07 (Imaginary Interlude [7])
by Jim Muth 09 May '07

09 May '07

FOTD -- May 09, 2007 (Rating 7) Fractal visionaries and enthusiasts: Starting with today's image the calculation time included in the parameter file will be true on a P4-2000 mhz unit. I will also eliminate the trivial hundredths of a second from the calcula- tion time. Today's lively image came about when I combined 5 negative parts of Z^(-1.1) with one negative part of Z^(-5.5) and added 1/C, to create a parent fractal of truly humongous size. This monumental fractal has a rather modest 'fan'. Today's image is located in a patch of interesting debris at the northern edge of this 'fan'. I named the image "Imaginary Interlude", which might be the name of a romance movie, but actually is the name of a fractal. I rated it at a 7, which seems about right for such a fractal. The calculation time of 1-3/4 minutes would be about 8 minutes on the old P200 computer. This time is within reason. Those with over-qualified machines may view the image pre-calculated on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather prevailed again here at Fractal Central on Tuesday, with cloudless skies, light winds and a temperature of 75F 24C. The fractal cats must have agreed, for they spent several hours in the window, watching the birds and squirrels. My day was pleasantly busy. The next FOTD will appear in 24 hours. Until then, take care, and fractals are all in the mind. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ImaginaryInterlude { ; time=0:01:42--SF5 on a P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.44190762973765900/+4.334161436986403\ 00/38971.79/1/-150/1.83140511832158293e-007 params=-5/-1.1/-1/-5.5/0/-40/0/0 float=y maxiter=1600 inside=fmod proximity=1 periodicity=10 colors=000WY8WZ4RR8MJBHCEGDGGEHGEJGFKEEoDGnBIlALk8\ Ni7Ph5Rg4Te2Vd1Xc3_d4be5de6gf7jg8lg9ohAriBtiBpjBmk\ BjkBflBcmB`mBYnBUoBRoBOpBLqBHqBErBBsB8sFArIBqLDpOE\ oRGnUHnYJm`KlcMkfNjiPilQiQV5UTAYSEaRJdQNhPRlOWpN_s\ McqOboPbnQblSbjTbiUagVaeXadYabZa`aZa_abYdcXfdVieTl\ fSngQqhOtgLyhNviOtiPrjQojRmkSkkTilUflVdmWbmX`nYYnZ\ Wo_UrcRo`SmZTkXTiVUgTUeRVcPWaNW_LXYJXWHYUFZSDZQB_M\ GKO9_Q8ZR8ZS7ZU7ZV7Z000QSqNPpKLoHHnDEmAAl76k43j34b\ 34V25N25G38F4BE5DD6GD7JC8LB9OAARABTACWFDZKEaPFdUGg\ ZGjcHmhIpmIsrJvvJzzUWVdOZoGbz8ftCcnFahI_bMYXPWRSUL\ WSFZQAaODcQFeSHfTJhVLjXOkYQm_wzaUpbWrdzzzXqbXp`WnY\ WmWWkUVjRVhPVgNUeKUdIUbGTaDT_BTZ9TYATXBTWBTVCTUCTT\ DTSDTRETQETPFTOFVQDWSCXUBYWAZY8__7`a6ac5be3cg2di1e\ j0ge1ia1kY1mT1oP1qL1sG1uC1w81v73v74u76u67t69t6Ar7E\ p7Ho7Km8Ok8Rj8Uh9Yf9`e9ccAgaAj`AmZBqXBtWBwWDrWFnWH\ jWJeWLaWNYWOTWQPWSLWUG000 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 08-05-07 (The Great Mystery [8])
by Jim Muth 08 May '07

08 May '07

FOTD -- May 08, 2007 (Rating 8) Fractal visionaries and enthusiasts: I was very busy on Monday, installing a new computer in Fractal Central, so today's discussion will be very brief. When the new machine is up and running, the old one, a P4-2000, will become the fractal-dedicated unit. The current fractal machine, an ancient P200, will go into a well-deserved stand-by mode. Today's image lies in the fractal that results when 4 negative parts of Z^(-1.4142) are combined with 1 negative part of Z^(-5.6568), which not accidentally happens to equal 4*(sqrt(2)). Since I think the image is quite good considering the brief time spent in finding it, I felt justified in rating it at an 8. The biggest mystery is why I named it "The Great Mystery". The calculation time of 6-1/2 minutes is brief enough to offend no one. But an even quicker way of seeing the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. The weather on Monday here at Fractal Central was absolutely perfect. We enjoyed cloudless skies, light winds and a tempera- ture of 72F 22C, while the fractal cats enjoyed dashing up and down the long hallway. My day was quite busy setting up the new computer. The next FOTD will appear in 24 hours. Until then, take care, and are numbers subjective or objective? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Great_Mystery { ; time=0:06:30.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.95141712305070700/-0.472460238730924\ 50/1.050304e+008/1/-177.5/-7.50206761788718701e-005 params=-4/-1.4142/-1/-5.6568/0/1e+100/0/0 float=y maxiter=1500 inside=bof61 outside=real periodicity=10 colors=000_FdcBdg7ek4e`GgRSiGck6omRXekEZfSiaetY`uU\ WuQRvMMvIHwECwOLoYUhgbaqkVztOqnLihJacHTYFLSDDNBHZK\ LiTPtaNgdMVfKIiJ5kH6lG7mE8mD8nC9oAAo9Bp8BpG8iO5bW2\ XU4WT6WS8WRAWQBWUEVYHU`JTdMShPRkRQoUPrWPpUPnSPlQPj\ OPhMPfKPdIPX4jWN`VeRVxHY9LTPHOdEKtBJu9HV9wt5HV9hl6\ HV9agCBSEUaHGOKNWNPTPIOKGJGFEBD97C43B5CB5LB5TQ6aQz\ zQrzQzzj2egA_eIVqcQaXL_UGYkBWs6Uz1QoBMeKJVTFLbBAk8\ 0tE8mKGgPO`VWV`cOekImJYpKarKdtLgvLkxMnzMqpWtfdwYmy\ zzzpqsfkmXegNZaDTW3NQ9mzEJaJzgOGmcEzmDz`OdcYLfg2db\ 5cZ8bVB`RE_NHZJJcYOgkTkyXcr_WkbOeeGZh8TkQeZgqMelQc\ gUabY_ZaYUeWPiULlbRbVWfO_jHcnS`fbYZdbaegcglfhqhiuj\ iuiiuhjqgjngjkgjggjdgjagjZgkVgkSgkPgkLgkIgkFgkCgiE\ fgGfeIedKebMd`Od_QcYScWUbVWbTYaR_aQa`Oc`Me_Lg_MeZM\ cZMbYN`YNZYNYXNWXOUXOTWORWOQWPUSPXPP`MQcIQgFQjCRn8\ Rq5Rt2UiEXZQZO`aDlc2w`3rZ4mW5hU6cR7ZP8UN9QPBSQDUSF\ WTHXVJZWL`YNaSIcRLbRNbWJc } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: 60502023
by jackoftradez＠comcast.net 07 May '07

07 May '07

. 60502023 par by Lee Skinner loox interesting; the parent mutantbrot (mag=0.66) is the craziest most f'd-up one I've seen in recent memory. also if you continue zooming in there is a nice infinite spiral. I will try to do a zoom-in and beyond animation, but I must change that color map .......... CYa .

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FOTD 07-05-07 (Iteration Quest [7])
by Jim Muth 07 May '07

07 May '07

FOTD -- May 07, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's bright, lacy image lies in the parent fractal that appears when the formula Z^sqrt(2)+C is iterated 52 levels up the topless and bottomless complex logarithmic ladder. This parent reminds me of a distorted Mandelbrot set with its west side facing southeast. Despite its odd shape, the open area at the center is a true midget, though there is certainly very little of a quadratic nature about it. Today's image is located in the northeast branch of what might be called Seahorse Valley, since it cuts off a very prominent period-2 bud. When I saw the image I rated at a 7 almost immediately. I have no logical explanation to offer for the name I gave the image -- "Iteration Quest". It sounds kind of interesting though, and might attract a few viewers. And speaking of attracting viewers, when I checked the FOTD web site today, I couldn't help but notice all the nameless images I have been posting for the past several months. Without names, these images are not going to attract many viewers. So from now on, regardless of how much or how little effort I put into the FOTD fractals, I will give every one both a name and a rating. Today's image takes over 41 minutes to calculate on my P200 machine. (There is no more P133 machine; it gave up the iteration last Thursday.) The 41-minute wait may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there. Lots of sun and an only slightly cooler temperature of 66F 19C made Sunday a day to remember here at Fractal Central. The fractal cats may not remember the weather, but they will remember the dove that landed right outside their window. My day was unusually pleasant. Too bad every day can't be the same. The next FOTD will appear in 24 hours. Until then, take care, and don't dare turn a Klein bottle inside-out. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iteration_Quest { ; time=0:41:26.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 float=y center-mag=+0.64378755423122760/-0.059667482551642\ 40/8813122 params=1.4142/0/52/0 maxiter=16000 inside=0 logmap=879 periodicity=10 colors=000jzzizzhzzgzzfzzeyzdyzcxzaxzZwzWwzTvzQvzN\ uzKtzIszGrzErzCrz9rz8rz6rz4rz2rz0rz0rz000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000040020000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000040090\ 0G00K00R00W00b00j00o00w00z00z02m08Y0EK0K80R00Y00d0\ 0j02o04m04m04m06m06m06m08m08m08m09m09m09m0Cm0Cm0Cm\ 0Em0Em0Em0Ej0Cg09U00G00400G0EU0Gg0Ij4Nm4Nm6Nm6Pm8P\ m9Pj9RjCRjCRj8Uj0Uj0Uj00E00000E0Yj8YjUYjr_jz_jz_jz\ bjzbjzbjzdjzdjzdjzgjzgjzgjzjjzjjzjjzmjzmjzmjrmjgmj\ gomgoodrrdruduwbuzbwzbwzbzz_zz_zz_zzYzzYzzYzzWzzWz\ zWzzYzzWzzWzzWzzWzzWzzWzzUzzUzzUzzUzzUzzUzzRzzRzzR\ zzRzzRzzRzzPzzPzzPzzPzzPzzRzzPzzPzzPzzPzzPzzNzzNzz\ NzzNzzNzzNzzKzzKzzKzzKzzKzzKzzIzzKzzNzzPzzRzzUzzWz\ zYzz_zz_zz_zzbzzbzzdzzdzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: Parent fractal of May 6, '07 FotD not as described.
by Jim Muth 07 May '07

07 May '07

At 03:00 PM 5/6/07 -0400, Hal Lane wrote: > >Any comments as to why I get a parent fractal that does not >match your description would be appreciated. Your rendering of the parent fractal is rotated 90 degrees. Note the fifth item in the line of the parameter file, which I have attached below. > center-mag=1.90028/-0.824587/0.1536318/1/90/3.885780586\ Jim M. P.S. Those inside colors happen because the inside=zmag. P.P.S. FOTD coming in 30 minutes

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[Fractint] <Jim> Parent fractal of May 6, '07 FotD not as described.
by Hal Lane 07 May '07

07 May '07

################################################################ Jim, In your FOTD -- May 06, 2007 you describe the parent fractal as: > The parent fractal is a > string of four north-south oriented large bays, with the south- > ernmost bay showing the strongest Mandeloid characteristics. When I calculate the parent fractal of this FOTD I do not see what you describe. I calculate the parent fractal as follows: After I calculate your FOTD I calculate its parent fractal by hitting <Z> <F6> and setting 0,0,1,1,0,0. After letting this fractal render I then zoom out as much as is needed to get the entire parent fractal to fit onto the screen. I rotate the parent fractal to get its longer axis horizontal. I also set the Log Palette (logmap) parameter on the <X> screen to zero. I have put the .PAR file I created for the parent fractal in question below. Any comments as to why I get a parent fractal that does not match your description would be appreciated. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= FOTD-May6'07parent { ; Hal Lane May 06,'07 11:50 P400 1024x768 ; Parent fractal of Jim Muth's FOTD ; for May 6th, 2007. reset=2004 type=formula formulafile=_m.frm formulaname=mandautocritinz function=recip passes=1 center-mag=1.90028/-0.824587/0.1536318/1/90/3.885780586\ 18804789e-016 params=-6/-1.17/-0.8/-7.4/0/0/0/0 float=y maxiter=2000 inside=zmag periodicity=10 sound=off colors=000<9>00000000000000001000000Z00R00d50lA0lE0uH0j\ L0kM3jQ7ETA0VC0R80Q70<2>J11H07F0CE0FA0L80O70T50X30d30k1\ 5q1Mx1Tz8XxF`sMWlgVg_TbfEXlFRsKMyPFzUAzZ5zc0zf0zcazZ_zU\ Y<2>oFTkHRfER`LQW2ObfM<2>VyHTzHOzF<3>bzFfzFjzEnzErzEwzE\ zzEwzEtzHqzLozMmzQkzRizV<3>azd_zfYxb<3>QqQOoMMlJKkFIiC<\ 2>C_1AX08T3AR7COACMCELFFHJHJLHLOJLRLMTMMXMO_OQaQQdRRgRT\ iQYgQafQffQigQlgQqgQugQxiXqoalufgykazoXzvRzzLz<2>z5zzAz\ <2>yLzvOzqTznXxk_ufbqbfnYklVnkRqgMufJxdFzbJqXMgQO_JRQCV\ F5X70Y87Y8C_8J_8O_8Va8_a8daAkbAobAvbAzdAzdAzdAzYEzRFzLJ\ zELy7Ov0Qq0Rn0HT078000000000103808E0EL0JR0MY0Rd0Xi0ao0f\ v0kz0oz0su3vi7xXAzLEzFHvCLq8Ol3Rg0Vb0YX<2>0gH0kC0n80q71\ u5UfhFz0<3>fz0lz0sz0yz05z08z3CzAEzFHzMLzTMzYQzdTzkVzoYz\ v_zz<2>5zV0zJ0z80zO0za0zo0zz0zz0zu0z_0zF000 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE========================================= ########################################################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.6.5/791 - Release Date: 5/6/07 9:07 AM

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FOTD 06-05-07 (The Creation of Chaos [7])
by Jim Muth 06 May '07

06 May '07

FOTD -- May 06, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows just a few of the things that happen when 6.0 negative parts of Z^(-1.17) are combined with 0.8 negative part of Z^(-7.4) and (1/C) is added. The parent fractal is a string of four north-south oriented large bays, with the south- ernmost bay showing the strongest Mandeloid characteristics. Today's scene is located deep in a split-apart fractal ring just southeast of the southernmost bay. After some thought, the phrase "The Creation of Chaos" came into my mind, and this is what I named the image. I can give no real connection between the image and its name, but the name sounds rather poetic. I rated the notably average image at a 7. Its starburst effect earns the rating. But the slow calculation time of 37 minutes on my old P200 unit is a definite drawback. I recommend fractal fans avoid this drawback by viewing the completed pre-calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect spring weather prevailed here at Fractal Central on Saturday, with unbroken sun, light winds and a temperature of 73F 23C. The fractal cats glanced out the window once or twice before returning to the large paper bag they were in the process of destroying. My day was pleasant, though I must admit that I feel a twinge of nostalgia when I visit Old Fractal Central and see the old fractal cats who are still there, and remember the neighborhood as it was 30 years ago. But even though we mere humans don't quite know what time is, it goes ineluctably onward, and the next FOTD is due in 24 hours. Right now, I'll give over a 99-percent probability that it will actually appear on schedule. Until then, take care, and keep on the fractal side of the street. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheCreationOfChaos { ; time=0:36:46.08--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.58655747015560500/-5.523487362432602\ 00/4.111784e+010/1/2.48190109415486049/-0.01991050\ 593875785 params=-6/-1.17/-0.8/-7.4/0/0/0/0 float=y maxiter=2000 inside=zmag logmap=343 periodicity=10 colors=0000000000000000000000000000000000000000000\ 0001000000Z00R00d50lA0lE0uH0jL0kM3jQ7ETA0VC0R80Q70\ O50M30J11H07F0CE0FA0L80O70T50X30d30k15q1Mx1Tz8XxF`\ sMWlgVg_TbfEXlFRsKMyPFzUAzZ5zc0zf0zcazZ_zUYvPXsKVo\ FTkHRfER`LQW2ObfM_lLYsJVyHTzHOzFRzFVzFZzFbzFfzFjzE\ nzErzEwzEzzEwzEtzHqzLozMmzQkzRizVgzXez_czaazd_zfYx\ bWv_UuXSsTQqQOoMMlJKkFIiCGf8Eb5C_1AX08T3AR7COACMCE\ LFFHJHJLHLOJLRLMTMMXMO_OQaQQdRRgRTiQYgQafQffQigQlg\ QqgQugQxiXqoalufgykazoXzvRzzLzzFzzAzz5zzAzzEzzHzyL\ zvOzqTznXxk_ufbqbfnYklVnkRqgMufJxdFzbJqXMgQO_JRQCV\ F5X70Y87Y8C_8J_8O_8Va8_a8daAkbAobAvbAzdAzdAzdAzYEz\ RFzLJzELy7Ov0Qq0Rn0HT078000000000103808E0EL0JR0MY0\ Rd0Xi0ao0fv0kz0oz0su3vi7xXAzLEzFHvCLq8Ol3Rg0Vb0YX0\ aR0dM0gH0kC0n80q71u5UfhFz0Mz0Tz0_z0fz0lz0sz0yz05z0\ 8z3CzAEzFHzMLzTMzYQzdTzkVzoYzv_zzQzoFzd5zV0zJ0z80z\ O0za0zo0zz0zz0zu0z_0zF000 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Lost fractals
by Jim Muth 04 May '07

04 May '07

Fractal fans and visionaries: I am back at Old Fractal Central. Unfortunately, the ancient and ailing P133 computer that I was using down at Old Fractal Central finally crashed for good Thursday afternoon. Its end was overdue, but it took the FOTD's for May 4 and 5 with it. The next FOTD will be the one for May 6. It will appear on schedule. Jim Muth

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re: FOTD 02-05-07 (FOTD for May 02, 07 )
by Lee H. Skinner 03 May '07

03 May '07

2 unusual Julia-like fractoids in the FOTD parent for May 2: 60502023 { ; ; t= 0:05:48.40 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmiximag function=ident passes=1 center-mag=-0.43431401914008430/-0.14196349681312640/\ 78955.8/1/-12.4999999999700808/-6.30382065991419438e-\ 011 params=1/2/0.0001/3/0/0 float=y maxiter=2500 inside=255 symmetry=none periodicity=10 cyclerange=1/254 colors=000qox<9>vswvswwsw<3>yuwzvvyuuxuu<3>qfZocUn_O<\ 2>hO6<3>VKASJBOICLHDMGFHGF<37>Q_FR_FR`FR`FRaF<16>ZdRZ\ eS_eT_eU`eU`eV<7>Nf`Mf`Kfa<2>FgcDgd9hf<3>QjiVjjZkj<3>\ pnn<3>sqqtrrsrr<15>chmbgmafl`fl_elYdk<3>chmeingjnhkoj\ lplmp<3>hgjgfhfdfdbd<4>`YZ_WYZVXYUVXTUWRT<5>QKLPJJOHI\ <2>LEEKCCKDE<8>DNXCOZBP`<3>7Uh6Wm<3>2`u1aw0cz<7>NczQc\ zTcz<3>ddz<18>nlxnlxomx<3>qoxBge } 60502025 { ; ; t= 0:05:48.23 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmiximag function=ident passes=1 center-mag=-0.43429803227549820/-0.14196239786311150/\ 1579116/1/-12.5000000000264588/1.39642927776684189e-0\ 09 params=1/2/0.0001/3/0/0 float=y maxiter=2500 inside=255 symmetry=none periodicity=10 cyclerange=1/254 colors=000rox<8>vswvswwsw<3>yuwzvvyuuxuu<3>qfZocUn_O<\ 2>hO6<3>VKASJBOICLHDMGFHGF<37>Q_FR_FR`FR`FRaF<16>ZdRZ\ eS_eT_eU`eU`eV<7>Nf`Mf`Kfa<2>FgcDgd9hf<3>QjiVjjZkj<3>\ pnn<3>sqqtrrsrr<15>chmbgmafl`fl_elYdk<3>chmeingjnhkoj\ lplmp<3>hgjgfhfdfdbd<4>`YZ_WYZVXYUVXTUWRT<5>QKLPJJOHI\ <2>LEEKCCKDE<8>DNXCOZBP`<3>7Uh6Wm<3>2`u1aw0cz<7>NczQc\ zTcz<3>ddz<19>nlxomxomx<3>qoxBge } frm:MandelbrotMixImag {; Jim Muth z=p3, c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=a*(z^b)+d*(z^flip(f))+c, |z| <= 100 }

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Wishlist (was Re: [Fractint] Re: Collections of PAR/IFS/MAP files)
by Tony Hanmer 03 May '07

03 May '07

http://web.ukonline.co.uk/members/robin.b2/olig/wisharc.htm That looks like *a* wishlist archive, but my wishes from after 1999 aren't on it. Is there another, later one? Here are a few wishes of mine, all for L-systems: 1. Vector output as an option, e.g. dxf. L-systems ARE linear-based fractals, after all. Vector output would allow exactness in L-systems rendering - something sorely lacking once screen details come anywhere close to maximum. I do already have a "mutant" version of Fractint with this capability, kindly sent to me by Robin Bussell. It works only in mono, no colour output, but has given me much enjoyment. I would suggest 256-colour output at least. (This option could even be included for tesseral and outline output types of bitmap fractals! Both allowing filled closed shapes. Think of that.) 2. If vector output is enabled, then other possibilities beg for implementation. Joining of line segments' endpoints to make closed curves which can be filled in a programme like CorelDraw is one. Removal of endpoints of adjacent line segments which are on the same straight line is another - a way of hugely reducing file memory size. Reducing of "layers" of redundant line segments after each iteration is a third. This is unnecessary in bitmap output - drawing a line on top of itself many times has no effect on the memory size of the file. But in Vector output, it does, of course, add to file size, possibly multiplying size many times over. There are many L-systems (like Hanmer Tiles) which have great numbers of layered line segments; keeping them as small as possible in vector output would be of great benefit. Line segment elimination could be done after each iteration has been calculated, before the follownig iteration - this slows down calculation, of course, but computers ARE getting faster all the time... 3. The possibility of line segments being curved instead of only straight! One could select from a list of curve equations, and the list could be added to as well. This would really transform L-systems. 4. Removal of some limitations (I've mentioned this before; not the highest priority, but not too difficult to implement either I think, once Fractint migrates from DOS). Namely, *.l file limit of 2000 entries (Hanmer Tiles are infinite in number...), and L-system programming string limit of 256 characters (I think that's the current limit) (Hanmer Tile programming can lead to very long strings). 5. Some kind of randomisation factor, user-specified as a percentage or range. This could vary either line length, or angle, or both, and lead to more natural-looking L-systems for rendering of plants, etc. Perhaps if a certain specific randomisation is attractive to the user, it could be saved and re-used. 6. IF-THEN programming. There are all sorts of possibilities for this, most of which I probably am not informed enough to imagine. Again, they would greatly extend L-systems programming. 7. 3d is perhaps not more than a dream or a distant goal, if anything. Tony Hanmer

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FOTD 03-05-07 (FOTD for May 03, 07 [No Rating)
by Jim Muth 03 May '07

03 May '07

FOTD -- May 03, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's glorious image lies in the humongous fractal that results when 5 negative parts of Z^(-1.05) are combined with 0.75 negative part of Z^(-7.5) and (1/C) is added. And when I say this parent fractal is humongous, I mean humongous. The center of today's image lies at -1180 on the Y-axis of its parent. (I kid you not.) This parent fractal is so oversized that it requires 3 outzooms before it fits onto the screen, and when it finally does fit, it is seen to resemble a large open bay connected by a large area of chaos to a large ring off to the southeast. Today's image is located in the vicinity of this ring. Once again I gave the image too little effort to grant it the honor of a name and rating. And its long calculation time of 18 minutes helps matters none at all. What does help is the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted in GIF format, already calculated and ready for immediate enjoyment or ridicule. Wednesday began under threatening skies here at Old Fractal Central, but the threat amounted to nothing, and by midday conditions were ideal, with sunny skies and a temperature of 77F 25C. The old fractal cats, Thomas and Tippy, celebrated the fine day by sleeping through most of it under a holly tree. When a large bee buzzed too close to Tippy's face, he got up and moved away. The fractal cats know better than to mess with bumble bees. My day was as slow as the weather was great, but by late after- noon I grew tired of watching puffy clouds drift by and almost wished I had something to do. Well, I won't be bored for long. I have only one more day to enjoy doing nothing. Then my sister returns from Wisconsin and it's back to New Fractal Central and the graphics work for me. The next FOTD will appear in 24 hours, that is if I can muster the ambition to find a fractal. Until next time, take care, and see you in the environs of fractal land. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_May-03_07 { ; time=0:18:44.22--SF5 on a P133 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+610.1210114789294/-1179.946710300654/7\ 87.6019/1/-40/-2.21913622894254203e-009 params=-5/\ -1.05/-0.75/-7.5/0/0/0/0 float=y maxiter=1600 inside=0 logmap=207 periodicity=10 colors=000XdySeyOfyJfzFgzAhz6hz6hywKxwKwwGvw9vuArs\ BoqCkoDhmEdlFajGZhHVfISdJObKLaKIcNHdQGeSFfVFgXEh_D\ iaCkdClfBmiAnk9on9pp8qs7ru7ovBmvEkvHhvKfvNdvQavT_w\ WYwZVwaTwdRwgOwjMwmKwpMreNnVOiKPeAWdBbcBhcCobCubCs\ eBrgApj9ol8mn7lq6js5iu4jp8kkBlgEmbHnZKoUNpPRqLUrGX\ sC_t7bt3en8biD_cIXZMUTRROWOJ_MXYRjWWwV`vTZuRYtPWsN\ VrLTqKSpIQoGPnENmCMlAKl9JjAMhBOfBQdCSbCU`DWZEYXE_V\ FaTFcWIaZK``MZcOYeRWhTVkVTmXSp_QraPucNweMsgLphKliK\ ijJekIblIZmHWnHSpGPqFLrFIsEEtDBuD7vC4wC4rF4mH4hK4c\ M4ZP4UR4PU4KW4FZ4A`45b98WEBPJEIOHBSJ4cOEoTOzYXrYTj\ YPbYLVYHNYDFY98Y5B_8EaAHcCJeEMgHPiJRkLUmNXoP_qSasU\ duWgwYix_gvaftberddpecngblhajj`hk_fmZdnYbpX`qWZsVX\ tUVuYWmaWeeWYiXQmXIqXBpVApUApS9pR9pQ8pO8oN7oL7oK6o\ J6oH5oG5oF5lH9iJDgLHdNKaPO_RSXTWUVZSXbPZfM`jKbmL_j\ LXhLVfMSdMPaMN_NKYNHWNFTOCRO9PO7NR7CU71dJInVZxfopd\ gib`b`TWZMPXEIW7Sglecx`cy } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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<Richard> Is ORGFORM still a DOS program?
by Hal Lane 02 May '07

02 May '07

From: Richard <legalize(a)xmission.com> >Is ORGFORM still a DOS program? I'm only aware of a DOS version. The last time I used it was to add Jim Muth's recent new formulas to my collection a couple of days ago. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.6.2/784 - Release Date: 5/1/07 2:57 PM

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FOTD 02-05-07 (FOTD for May 02, 07 [No Rating)
by Jim Muth 01 May '07

01 May '07

FOTD -- May 02. 2007 (No Rating) Fractal visionaries and enthusiasts: A little bit of 3i can make a great difference to the appearance of the classic Mandelbrot set. In today's fractal we add only 1/10000 part of 3i to the M-set, but that tiny part of the imaginary number wreaks almost total havoc. Today's scene is located in an area that would lie near a small bud on the southwest shore line of the M-set -- that is if the parent fractal were the undistorted M-set. But though there is a resemblance, the parent fractal is not the M-set, it is little more than a parody of that mighty fractal. When 1/10000 part of 3i is added, to the Mandelbrot set, the set looks like someone took a knife to it and tried to slice it into quarters. I am not sure whether the result is a true fractal or an artifact of the formula, but whatever it is, it holds some interesting places to explore. Since I put next to no effort into today's image, I did not name or rate it. The calculation time of 2-2/3 minutes on my P133 machine equals about 1-1/2 minutes on the standard P200 machine. This is brief enough so that little effort will have been wasted if the image fails to please. And if all else fails, the already-calculated image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It's been another spectacular day for me and the fractal cats here at Old Fractal Central -- lots of sun and a temperature of 75F 24C. While I spent the day enjoying the weather, the cats spent the day lurking in the holly thicket. Unlike the new fractal cats, who can only look outside, the old guys get to go there. The next FOTD will appear by technological magic in 24 hours. Until then, take care, and if no FOTD appears in 24 hours, it will be because the ancient machine I am working on has finally come to its last iteration. (Every time I turn on the old P133, it's a battle getting it to start up as it should.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_May-02_07 { ; time=0:02:41.75--SF5 on a P133 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMixImag function=ident passes=1 center-mag=-0.64917647027/-0.388846347602\ /31162.79 params=1/2/0.0001/3/0/0 float=y maxiter=2500 inside=255 periodicity=10 colors=000zW8zSCzQExMIrKKlIMhFQbDSYAXSAZMA`IAdDAf9\ AhQAnfIsxUxzdzz_urWphSmXOhMKdDH`8DX8AS8AP8AK8AG8AE\ 8DC8H88K88O88S88W88_88d88h8Kl8Up8ct8Un8Kh88aK8WX8Q\ h8Mb8IZ9FVABPAAKAAGAACAA8AA8DA8GA8KA8UA8cA8mA8zA8z\ KEz_PznZvZQ_IKFAFDAKDAPBAU9AZ8Ae8Ah8Af8Dd8K`8SZ8ZX\ 8fV8nQ8tP8zM8zK8zI8zS8zb8zj8zu8zz8xz8rx8ls8dpBZmGS\ jKKfQFdXA`bAZhAVnASrAQlAffAxjAslApnAmrAjuAfvBdxDbz\ HZzIXzKSzOQzQMzSKzUIuQb_OudMphKmlIhpHduF`xDXzBSzAP\ zAKzAGzACzA8zA8zA8zA8zA8zA8zA8xB8uD8nF8hH8dI8XS8Q_\ 8Ij8Dr88z88zC8zK8zS8zVDOAIIIOAGUAPYAXOAZFE`8Ve8ei8\ tl8zp8zp8zu8wzBlzOazbSzpIzzAzzAzzAzzAzzAzzAzzAzzAz\ xAzvAzrAzpAznAzlAzjAzlAzlAznAunAmnAdpAVpAMrAErB8rB\ 8uI8vO8xU8z_CzhGznIztMzzQzzSzwEzl8za8zS8zK8zI8zI8z\ I8zIAzHMzHXzHhzHuzHzzIzzIzzIzzIzuIznKzhKzbKzXKzQKz\ KMzFMz9Mz8Mz8Mz8Iu8Hp8Dn8Bj8Ah8Ad8A`8AZ8AV8AS8AQDA\ PIAMQAKYDIdFGlIEuMCzQAzzz } frm:MandelbrotMixImag {; Jim Muth z=p3, c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=a*(z^b)+d*(z^flip(f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 51, Issue 1
by jackoftradez＠comcast.net 01 May '07

01 May '07

""I believe that there are many people who go looking for fractal programs these days and frankly, fractint is not the one that they choose. The reasons are probably varied: the DOSness, the UI, the 8.3 filename limitations and so on are all probably part of the problem"" ""It needs to start leaping ahead of others"" It already IS ahead of the others, can zoom deeper and higher iterations, more varied in fractal formulas. We need to ADVERTISE!

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FOTD 01-05-07 (FOTD for May 01, 07 [No Rating)
by Jim Muth 01 May '07

01 May '07

FOTD -- May 01, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when the formula Z^(sqrt(2))+C is iterated 77 levels down the logarithmic ladder. At this profound depth, the formula creates a Mandeloid with its west end facing northeast and the east half of its main bay cut off. Today's scene is located far out on a prominent filament extending out NE from the large period-2 main bud. Since I spent most of the day enjoying the weather and doing little else, I could not name or rate today's image. But it is still a rather pleasant one to view, as long as one does not spend too much time thinking about it. The render time of 6-3/4 minutes is true on my ancient P133, a machine so old it would be best studied by an archaeologist. A much more efficient way of viewing the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for instant if not hedonistic enjoyment. It was a beautiful spring day here at Old Fractal Central, from where the FOTD was posted for 9 years and where the old fractal cats, Thomas and Tippy, are still thriving. Clear blue skies, gentle breezes and a temperature of 82F 28C made things near perfect. I will be here until this Friday, while my sister, who moved here when I left, is visiting friends in Wisconsin. The old fractal cats spent the morning wondering why they see so little of me nowadays. Then they went out to the holly thicket, where they lurked all afternoon. They fully appreciated their evening treat of tuna. I will be pretty much unoccupied this week here at old FC, while Fractal Lady tends to business back at New FC This will give me lots of time to do nothing but find fractals, but I just might waste a good part of that spare time doing nothing. The next FOTD will appear in 24 hours. Until then, take care, and sing a song of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_May-01_07 { ; time=0:06:45.29--SF5 on a P133 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.35766777822103800/+1.460013324630978\ 00/3.206177e+010/1/120/-8.14812788009558475e-005 params=1.4142/0/-77/0 float=y maxiter=6000 inside=0 logmap=113 periodicity=10 colors=000zd0zf0xf0ug0og0ji0gi0PK003fz8ZqBQKEJPJBQ\ P3HO09M07H330G08U02f09a0GX0MU0SP0ZK0dHmz0gu0oZExCW\ z0jz7lzKnzZnzlozzqzzqzzqjxqXoqHgq2_q0Uq0Zo0bo0gn0l\ n0ql0vl5fZMSKaE8B500000838HCHSMSaWajbPinEiy3iz5jz7\ iz8gz9gzBfzCdzEdzJWuNMnSEgX5aa0Xd0bg0gj0ll0qg0ud5v\ aCyZJzUPzQXzNbzKiz2NZ020PzE00W72_PNdfigQsaCzW0zP0z\ J0zK0zM0zN2zP7zQ9zQEvKJoGNiBSd7XZ2aS0fM0jH0nN0qU3u\ _9xfHzlNzsWzyauzfiziZzlMzqBzu0zx3xo5ni8bb9UXCJQE9K\ G0EP7BXC8dH5SQ7GZ73g80o80x80v70v7Bu7Ku7Us7ds7nq7xq\ 7B0v70q3Gl0Xg0nb0z_5zfGzjSzobzuozyzzzzzzzzzzzzzzvz\ zszznzzjzzfzzbzzWxsNuiGybNzXUzQ_zMflNbNP_0QX5Ua9Wd\ GZiK_lPaoWdu_fxdgzalyZoxXuvUxuSzsUooUflWXjWNgWEdX5\ bX0_X0ZQ0_M0_H7_BC_7J_2P_9UCGZ0G_0Gb0Gd0Gf0Gi0Gj0G\ l00szl5lo7ds8Zv9Sy9MzBGzC9zE3zE0zB0u82l55f27iBGjKN\ nUWobbffSXiHNl7g0qa0dW9UQNHKa7z00s70iH0ZS0Pb0zz0xz\ 0qz0jz0dz0Zx0Su0Mq0zb0zd0 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: I have a couple of old machines I hang onto just because .....
by jackoftradez＠comcast.net 30 Apr '07

30 Apr '07

. Kim, Hang on to those old machines! Or get an old used one (on the web, computer shows, repair shops - they are everywhere!). You can get pentium-2,3 machines for < $100. Set it up with Win9X and you can use the fractint you love. I can easily render 1600x1200 on my P2-300, which is 10 years old. My P3-733 with Win98SE actually runs fractint much faster than either P4 unit. .

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Re: I have a couple of old machines ......
by jackoftradez＠comcast.net 29 Apr '07

29 Apr '07

Kim, It is difficult enough to make these things work at all; including backward compatibility forever (like for DOS, 16 bit apps) just makes it more difficult and error prone. Since very few people use legacy software, it simply isn't worth the effort, so thinks the powers that be. My understanding now is that Vista will not do DOS or 16 bit apps at all. We are on the verge of a 64 bit world! .

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FOTD 29-04-07 (Fearsome Forest [6])
by Jim Muth 29 Apr '07

29 Apr '07

FOTD -- April 29, 2007 (Rating 6) Fractal visionaries and enthusiasts: Fractal fans take note. Today's image was created with a new formula, MandelbrotMixImag, which mixes various parts of real and imaginary powers of Z. I have attached the new formula below. START NEW FORMULA------------------------------------------------ MandelbrotMixImag {; Jim Muth z=p3, c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=a*(z^b)+d*(z^flip(f))+c, |z| <= 100 } END NEW FORMULA-------------------------------------------------- In today's image, which is really only a test, I have added 0.05 part of Z^(i) to Z^2 to create a parent fractal that resembles a degenerate Mandelbrot set shattered almost beyond recognition. Today's image is located in the fragmentary stuff filling most of the main bay of the M-set. I named the image "Fearsome Forest" though there is very little in it that might cause fear. Actually, the image resembles nothing as much as the edge of a fantastic forest that might grow on the earth-like planet that was recently discovered. After not too much thought, I rated the image at a 6. The lack of a central midget cost one point. The render time of 2-1/2 minutes is appropriately fast for such an image. And as always, the finished image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats once again showed unusual interest in the weather here at Fractal Central on Saturday. But I saw nothing unusual in the cloudy sky and temperature of 59F 15C. The cats must know something I don't. For now, I have bad news and good news. The bad news is that there will be no FOTD for April 30, when I will be on the way back to Old Fractal Central. The good news is that if I can get the old computer which I left there to work, the FOTD will return on Tuesday, May 01. Until then, take care, and be at peace with all things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fearsome_Forest { ; time=0:02:32.00--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMixImag function=ident passes=1 center-mag=-0.262865/-0.117427/44.4193/1/-140.0234\ 74524429645/-11.8893132505643049 params=1/2/0.05/1\ /0/0 float=y maxiter=1500 bailout=16 inside=255 periodicity=10 colors=000rpSW09U08S07Q06O05M24K73IA4HD5HG6HJ6HM7H\ P8HS9HU9GXAGZBGaBGcCGhDGmEGrEKwFUzGczGhzHmzIrzJvzJ\ zzKzzLzzLzzMzzNzzOzzOzzPzzQzzQzvTzsWzoYSl`VibZeeab\ gd_jhWlkTonQqnQrnQrnPrnPrnPrnOrnOsnOsnNsnNsnNsnMsn\ MsnMtnLtnLtnLtnKtnKtnKunJunJunJunIunIumKrlMpkOnkPk\ jRiiTghUdhWbgY`fZZe`WebUddScePbgNbiLajI`lG_nE_oCYp\ DXpEVqFUqFTqGRrHQrHPrINmzroTqnUqmVqlWqkXpjYpiZph_p\ g_nhZmhYlhXkiXjiWiiVhiVfjUejTdjTckSbkRakR`kQZlPYlP\ XlOWmNVmNUmMTmLRnLQnKPnJOoJNoIMoHLoHPiJSdKV_LYUM`P\ NcKOfEPi9Ql4Ri5Qg6Pe7Oc8O`9NZAMXBMVCLTDKQEKOFJMGIK\ HIIIHFJGDKGBLF9ME7NE4ME6OG8PIAQJCRLESNGTOIUQKWSMXT\ OYVQZXS_YU`_WaaYcb_ddaefcfgegighkiildkh_mdWnaRpYNr\ UIsREuN9wJ5xG7vI9tJBrLDqMFoOHmPJlRKjSMhUOfVQeXScYU\ aZW``YZaZXc`VdbUfdSgfQihPjjNllLmmKnkMmiNlhOkfQjeRi\ cShbUh`VgZWfYYeWZdV_cTachFIgGIfHHfHGeIGdJFdJFcKEbL\ EbLDaMC`NC`NB_OBZPAZPAUcu } frm:MandelbrotMixImag {; Jim Muth z=p3, c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=a*(z^b)+d*(z^flip(f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Fractint for Windows
by John W. 29 Apr '07

29 Apr '07

Problem just arrived this morning.. The latest beta seems to have been running fine excepting for overlapping names in the PAR menu. Now, however I'm getting a message "Unexpected error, crash dump saved to. (**** this is not a misprint***, my parentheses) Please include this file with your bug report" . Unfortunately this must have slithered off to some distant corner of my system and cannot be found. This is followed by a Microsoft Visual C++ Runtime Library message Buffer overrun detected! Progrm ...Stone Soup Group\Fractint for Windows\fractint.exe A buffer overrun has been detected which has corrupted the program's internal state. The program cannot safely continue and must be terminated. Corruption in my computer? It want start to smell, will it? John W.

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re: Qs re higher resolutions w Fractint w a new computer
by Hal Lane 28 Apr '07

28 Apr '07

>how would anyone ever be able to tell >if a new computer they were ordering would be able to generate fractals >with Fractint to the higher resolutions? About the only sure way that I can think of is to find someone who owns a recent machine that has been shown to create higher resolution fractals under Fractint. Then use Craig's list or eBay to purchase a machine that has that exact video card in it. I know that it is possible to put a second video card into a computer, so in theory one could install an older card that supported the higher resolution DOS video modes into a computer that has a video card that does not support these video modes. Newer computers now have different connectors to plug cards into, so the new machine needs to have a connector compatible with the older video card being installed into the new computer. However, I do not know how to force 'switching' between these video cards -- or if that is even possible in all cases. One other problem with video 'cards' is that often, current computers are manufactured with their video and audio chip sets on the main system board for cost reasons. Being able to 'turn off' these factory built-in functions and to get Windows to recognize a newly-installed card to replace these functions takes detailed knowledge and in some cases cannot be done at all. I note that Sylvie Gallet says that Windows Vista appears to not support the DOS version of Fractint. I pasted her message below my signature. Some good news is that there is a 'Fractint for Windows' being worked on right now and a fairly stable beta is available. It is intended to work on essentially any current computer's video card and on any version of Windows. This is because it writes to the video card using Windows drivers and graphics modes, not DOS graphics modes. The current beta (beta 5) is a first pass at creating a fully windowed version of Fractint. The current user interface is simply the DOS version text windows displayed in their current DOS form with the image being calculated resizing the window as needed. Keyboard commands work normally. The current 'Fractint for Windows' does not have mouse support, but movement of the zoom box and cursors can be done using the arrow keys (with and without the <ctrl> key being held down.) Richard of the Fractint Development Team did a lot of work to get the this functionality working under windows. I myself have not used beta 5 'Fractint for Windows' very much, but judging from the postings on [Fractint] from others, there are people using it successfully. Further development is planned. Richard's FractInt for Windows (Beta 5) 2007-02-18: http://tinyurl.com/2wqa7r You can uninstall beta 4 or you can install beta 5 over top of beta 4. If you install over top, beta 4 will be upgraded to beta 5. The list of known existing bugs in beta 5 Fractint for Windows is: >This file describes known issues in this release, from oldest to newest: >There is no sound output support. >There is no mouse support. Panning and zooming is by keyboard only. >Video modes with pixel dimensions other than 4/3 aspect ratio assume >non-square pixels. The images all render fine, but they appear stretched >or squashed. The choice of resolutions in fractint.cfg reflect this. >With debugflag=10000, error messages are reported for disk video mode when: >start fractint, pick any disk video mode (e.g. 320x200), >let it render, wait for completion, then go to the <v> screen, >change 320 to 32, submit it. This problem is present in the DOS fractint. ><\> or <h> or <ctrl-h> just redraws the current image instead of moving >backwards through the history buffer. One other item. You say: > I have a couple of old machines I hang onto just because > I can push the resolution, for printing. Are you familiar with Fractint's Disk 'Video' Modes? These allow you to create high resolution images without them being written to the video card. I use this feature every day to create Jim Muth's Fractal of the Day at a resolution of 1024 x 768 or 1280 x 1024 with DOS Fractint. This feature completely gets around having to have a video card show the image while it is being calculated. My older computer with DOS Fractint will display images this large, but only if they take up the entire screen. The images no longer calculate or are corrupted if I try to shrink the image into a window to allow me to look at email, etc. So I simply use a Fractint Disk 'Video' Mode to calculate my larger images. Since the window showing the image calculation is simply a text status window I am able to shrink it to a small window and read my email, surf the web, etc. When Fractint's status window says, "The image has been completed" I can maximize the window to full screen and save the image and reload it into a visible video mode in DOS Fractint on my older machine. My newer machine would require me to view the large image that I calculated using Disk Video Mode using a different image viewing program. This is not too great a problem since you can keep both the image viewing program and Fractint for Windows open and running at the same time. Fractint's documentation has more information about Disk Video Modes. You can even define your own X and Y resolutions of Disk Video Modes. I have done this and it works well. Please ask me if you have any further questions about Disk Video Mode. Incidentally, I just tested adding a new set of X and Y resolutions in a Disk Video Mode of Richard's beta 5 version of Fractint for Windows. I added 2048 x 1536 pixels. It created the image correctly and I viewed it in an image viewing program. What resolution do you create your images at in order to print them? <---<< Is this info of any use to you? <---<< - Hal Lane ######################### # hallane(a)earthlink.net # ######################### Date: Sun, 25 Feb 2007 18:29:56 +0100 From: Sylvie Gallet <sylvie.gallet1(a)libertysurf.fr> Subject: [Fractint] Fractint (DOS) and Windows Vista To: Liste Fractint <Fractint(a)mailman.xmission.com> Hi All, I just got a new computer with Windows Vista Home Premium and I'm still in the process of customizing it and installing my favorite softs. Bad news: Fractint for DOS won't run, all I get is an error msg saying "This system does not support fullscreen mode. Choose 'Close'to terminate the application." Cheers, - Sylvie ###################################################### -----Original Message----- From: Kim Hagar [mailto:bkhagar@yahoo.com] Sent: Friday, April 27, 2007 12:28 PM To: Hal Lane Subject: Re: Did you ever get any replies to your question? No, I didn't, Hal, and was sure hoping to! I have a couple of old machines I hang onto just because I can push the resolution, for printing. My brand new machine at work, which is a REAL work horse, cannot do it! I just don't know how to find out, as you can imagine! As Fractint is one thing I LOVE to work with, I'd really hate to invest in a machine that can't do the job! Funny how newer isn't always better! Thanks! Hope somebody knows! I'll keep looking! Kim Hal Lane <hallane(a)earthlink.net> wrote: >>Kim, Did you ever get any replies to your question? >>I discovered that the highest resolution that my >>new machine will support Fractint at is 640 x 480. :-( Kim wrote: -------------- >>>I DO want to know, however, how would anyone ever be able to tell >>>if a new computer they were ordering would be able to generate fractals >>>with Fractint to the higher resolutions? I want a new computer but not to >>>detriment! >>>Thanks for any suggestions! >>>Kim #########################################################3 No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.6.1/778 - Release Date: 4/27/07 1:39 PM

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FOTD 28-04-07 (Bolt From the Blue [7])
by Jim Muth 28 Apr '07

28 Apr '07

FOTD -- April 28, 2007 (Rating 7) Fractal visionaries and enthusiasts: In today's fractal we travel to a world that until now I have virtually ignored -- the world of fractals created with complex exponents of Z. We need only the manzpower formula of Fractint to do this. To begin exploration we check the fractal created by the formula Z^(2+0.1i)+C. This addition of a small imaginary value to the formula of the classic Mandelbrot set makes a world of difference in the appearance of the parent fractal. Instead of the pure M-set, we see a distorted version of it, with Seahorse Valley split into two separate parts. Today's image is located along the flat edge of what appears to be the remains of the north branch of the valley. I named the image "Bolt From the Blue" because of the stylized lightning bolts zig-zagging through the scene. I rated it at a 7 because I kind of enjoy it. At the center there is a small Mandelbrot midget, which has not yet suffered much distortion, though if the imaginary part of the exponent were to be increased much beyond the value in today's formula, the midgets of the parent fractal would soon become unrecognizable. Most of the effect in today's image was achieved by calculating it with the inside set to 'summ' and the bailout radius set to 16. Surprisingly, changing the bailout makes a big difference in the final result. The calculation time of 18 minutes is slower than ideal, but the calculation may be dispensed with by going directly to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Heavy clouds, occasional light rain, and a temperature of 57F 14C kept a damper on things here at Fractal Central on Friday. The fractal cats must have suddenly become interested in the weather, for they spent a good part of the day staring out the window at nothing which I could see except rain. My day was busier than average, but still under control. The next FOTD will appear in 24 hours. Until then, take care, and is reality really real? If it is not real, how can we tell the difference? And if there is a difference, what does it mean? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bolt_from_the_Blue { ; time=0:18:02.75--SF5 on a P200 reset=2004 type=manzpower passes=1 center-mag=-1.25261975090424200/+0.046477193834191\ 60/3.024927e+007/1/162.5/-4.37373777914876194e-005 params=0/0/2/0.1 float=y maxiter=3400 bailout=16 inside=255 outside=summ periodicity=10 colors=000EPkDdoBttTmVje5cZEXRNQJWJBdC3mFCkJLiNUfO\ RbQNZSJVUFRWBNYLI_WDae8dp3gi7kaBoUFsMJwENrLUlS`f_h\ ilhlyhbuYTqNJmC9h1Gf1Od1Wb1c`1kZ1sX0ncAhjKbqVZmUUi\ TQeSL`RGXQCTP7PO2KMTddtywOy6PnGQbRSR`TFkV3vuYqkSh`\ M_RGRGAHELNCWUCVVBTXBRZAP`AOb9Md9Kf8Ih9KbAMXBPRHRS\ NUUUXV__XebYle_rh`ykbXOm40xA2xG4xM7xS9xZCxWCoSDfYF\ ZcHQiJHOV1THRZ3pcNahfMmz6mvGmqQml`mgjnbunZpnVjmRem\ N_mJVlFPZ`IKvBKsGKpLY6AY6AX6AX6AW6BW6BW6BV6BV6BU7C\ U7CT7CT7CS7CS7DR7DR7DR7DQ7DQ7EZ7EV7EO7EO7Ec8FN8F08\ FM8FM8FL8GL8GK8GK8GJ8GJ8HI8HI8HH8HH8HG9I`69_79Z89Z\ 9AY9AXAAWBBWCBVDBUDCTECTFCSGDRHDQHD`79QIEPJEOKEOLF\ NLFMMFLNGLOGKPGJPHIQHIRHHSIGTIFTIFUJEVJDWJDXKHVKMT\ LRRMWPN`NNeLOjJPoHQmMPkROiWNgaLefKckJapI_vGavFcuEe\ uDgtCitBksAnr9moBklDiiFheIfbKd_MbWPjQfsKymg5gf8`dB\ VbFO`IHZMPUSXPYdKclFit9ptDjtIdtNZtSTtXMiUPZQTONXDJ\ `gIIlGbqExdLsRTmE`h0hbszz } END PARAMETER FILE=========================================

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FOTD 27-04-07 (The High Lifetime [7])
by Jim Muth 27 Apr '07

27 Apr '07

FOTD -- April 27, 2007 (Rating 7) Fractal visionaries and enthusiasts: In today's FOTD image we take a journey to the world created when 12 parts of Z^(-1.25) are subtracted from 2 parts of Z^(-6.5) and (1/C) is added. The parent fractal created by this formula is shaped like a diamond, with a prominent 'fan' filling the eastern part of the open area. A rather curious area of indescribable chaos lies at the northern vertex of the diamond, where a filament extends from a Mandeloid bud into an infinite spiral. Today's image is located rather deep in this filamen- tary spiral. To add a little extra interest to the image, I rendered it with the 'inside' set to 'fmod' and the 'proximity' set to 1. About one-half of the image consists on 'inside' stuff, so it works quite well. The 'outside' parts are rendered in the usual 'outside=iter' manner. After admiring the image for a minute or so, I decided it was worth a rating of a 7. It seems a bit too gaudy for perfection, and this prevented a higher rating. The name I gave it -- The High Lifetime" -- has nothing to do with drugs, or with the image either for that matter. It is simply a phrase that popped into my head while I studied the image. The calculation time of 8-1/3 minutes is a bit slow. But all is not lost, for the completely rendered image is available for easy viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I got word today from my sister, who now lives at Old Fractal Central, that she will be away on a trip most of next week. This means that I will be spending most of next week back there with the old fractal cats, Thomas and Tippy, who are still quite well. Curiously, the old place still seems like the home base of the FOTD. I started the FOTD there, and posted it from there for the first nine years. If all goes well, the FOTD will be uninterrupted for the few days I will stay there, but the P133 computer I left there for such visits is near the end of its life. If it fails to start, I could miss a few FOTD's. No rain fell on Thursday here at Fractal Central, but the heavy clouds and temperature of only 52F 11C made things feel most un- spring like. The fractal cats must have agreed, for they showed no interest in the outdoors. My day was busier than average. The next FOTD will appear in a short 24 hours. Until then, take care, and be aware that fractals could encode the mysteries of existence. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_High_Lifetime { ; time=0:08:40.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.87134903167665070/+1.923143946266894\ 00/110446.1/1/-20/4.36972467654506147e-008 params=-12/-1.25/2/-6.5/0/1500/0/0 float=y maxiter=1250 inside=fmod proximity=1 periodicity=10 colors=00037P36R36R36T36T36V36V36M36V39bCGhMQpYYyh\ gzgfzgdzgbzgaze_zeYzeXzeVzeUzcUzcSzcQzcPzcNzbMzbKz\ bIzbGz`Gz`Fz`Dz`Cz`Az_9z_7z_6z_6zb7z_6zY6zW6zV6wT6\ pS6jQ6cO6YM6RL6LJ6FM6CI6AD69968364668AA9FNAJ_COmDQ\ kFSiFTgFVfFWdFYbF_aF`_F`YFbXFcVFeUFgSGhQGjFGlNGmHG\ nKGoIGpGGqFGrGGsCGtIGu6FvLGwFIwQIwQJwXJwaLtcLwnMzi\ MzwLznLzvLzsLzoLwkLwhJwfJweJvdJtbJsaJqaIo_ImYIlXIj\ VIhUIgUGeSGcQGbPG`NG_MGYMFWKFVIFTGFSFFQDF000QDFQFG\ QGJSILSKMSMPSNRTPVTPWTQYVS`VUbVVeVXfWYhW_kW_mYapYb\ rYctmzwmzymzzmzzmzz`izbgzgezccz`az__zWYzVWwSUrOSoM\ QkJOhIMeFKbCIYAGV7ER6CO3AL38G36D36A368364360361363\ 36436637939A39C3AD3CF3DI5FJ6GL7GM9IOAKRCMTDNVFPWGP\ YINWJNVLNTMNRONPONOQNMSNLTMJVMIVMGWMFYMD_MC`MA`M9b\ M8cK6eK4gK3gK1hK0jK0lK0mK0mK0lG0lF0jD0jC0hA0h90g70\ g61g61e63e63c64c64b66b66b68`68`69_69_6AY6AY6C`6AY6\ CW6CV6C3DM3CM3CO3AO39P39P } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 26-04-07 (FOTD for April 26, 2007 [7])
by Jim Muth 26 Apr '07

26 Apr '07

FOTD -- April 26, 2007 (Rating 7) Fractal visionaries and enthusiasts: When six negative parts of Z^(-1.2) are combined with 0.6 negative part of Z^(-6.6) and (1/C) is added, an oversized parent fractal with several large bays results. From the bays filaments extend, which end in rings. Today's scene is located in a ring at the end of a very prominent filament. I rated the image at a 7 because even though it has no midget at the center, it has a strangely realistic 3-D appearance. I can take no credit for this effect however, for the colors were generated by the program. I did nothing but fine tune a couple registers. The bright sky-blue spire in the background is kind of a mystery. It is obviously the ghost reflection of a large bud, but the bud exists in some other plane of the Julibrot. One of these days when I have a bit more ambition, I might try to track it down. The calculation time of over 1/2 hour is too slow for such an image. I recommend visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Wednesday started fair enough here at Fractal Central, but clouds moved in during the morning and the rain began in the afternoon. The temperature of a chilly 50F 10C did not help things. The fractal cats ignored all this and passed the afternoon playing with their toys. My day was busy enough to keep me from worrying about the weather. The next FOTD will appear in 24 hours. Until then, take care, and search for the universal fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr-26_07 { ; time=0:32:49.62--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-2.18601/-3.10958/11.18068/1/10/7.7e-014 params=-6/-1.2/-0.6/-6.6/0/0/0/0 float=y maxiter=6400 inside=255 logmap=4 periodicity=10 colors=000D39E4AE5AF5AG6BG7BH7BH8CI9CI9CJADKBDKBDL\ CELDEMDEMEFNEFOFFOGGPGGPHGQIHQIHRJHSKISKITLITMJUMJ\ UNJVOKWOKWPKXQLXQLYRLVRJWRKWSKXSLWTLXTLXUMYUMXVMYV\ NYWNYWNZWO_WO`WP`WPaWPbWQbWQcWQdWReWReWRfWSgWSgWSh\ WTiWTjWUjWUkWUlWVmWVmWVnWWoWWoWWpWXqWXrWYrWYsWYmWZ\ mWZmWZmW_mW_mW_mW`mW`mXamW`mW`mW_mW_mWZmWZmWZmWYmW\ YmWXmWXmWXmWWmWWmWVmWVmWVmWUyWUyWTyWTyWSyWSyWSyWRy\ WRyWQyWQyVQyVPyVPyVOyVOyVOyVNyVOyVQyVSyVUyVVyVWyVX\ yVYyVZyV_yV`yVayVbyVcyVdyVeyVfyVgyVhyVizWjyVkxVlwU\ mvUnuTouTptSqsSrrRsqRtqQupQvoPznPxmOylOzlNzkNzjMzi\ MzhLzhLzgKzfKzeJzdJzcIzcIzbHzaHz`Gz_mz_mzZmzYmzXmz\ WmzVmzVmzUmzTmzSmzRmzRmzQmzPmzOmzNmzNmzOmzOmzPmzPm\ zPmzQmzQmzRmzRmzRmzSmzSmzTmzTmzTnzUozUpzUqzVrzVszW\ tzWuzWvzXwzXwzYwzYwzYwzZwzZwzZwz_wz_wz`wz`wz`wzawz\ awzbwzbwzbwzcwzcwzdwzdwzdwzewzewzewzfwzfwzgwzgwzgw\ zhwzhwziwziwziwzjwzjwz00c } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Sorry for the duplicate 60416016 posting.
by Hal Lane 25 Apr '07

25 Apr '07

Sorry for the duplicate posting. I failed to scroll down farther in my digest of [Fractint] posts before reposting Lee's 60416016 fractal and I missed Lee's repost. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.463 / Virus Database: 269.6.0/775 - Release Date: 4/24/07 5:43 PM

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<DM Fisher> Lee Skinner's Apr 17th, '07 post of his 60416016 fractal
by Hal Lane 25 Apr '07

25 Apr '07

#################################################################### DM Fisher wrote on Wed, 25 Apr 2007: >I missed something here, or the referenced fractal is on >another list. Where can I get the .par, or whatever, >for this fractal. I"d like to try it out timewise >on my machine, as well as just see it. > >DM Fisher Lee Skinner's Apr 17th, 2007 60416016 fractal that was posted in [Fractint] is pasted below. I have added the formula file below the .PAR file. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### #################################################################### ----- Original Message ----- From: "Lee H. Skinner" <skinner(a)thuntek.net> To: "Fractint and General Fractals Discussion" Sent: Monday, 23 April, 2007 20 11 Subject: Re: [Fractint] <Lee> The 2 hour wait to see your 17 Apr 60416016fractal was well worth it > >> Lee, The 2 hour wait on my 400 MHz PII to see your 17 Apr 60416016 > >> fractal was well worth it. - Hal Lane > > Thanks for the kind words, Hal. Glad you liked it! > Lee #################################################################### Date: Tue, 17 Apr 2007 15:14:38 -0600 From: "Lee H. Skinner" <skinner(a)thuntek.net> Subject: Re: [Fractint] AnotherVisitation Doug's version To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Message-ID: <462538BE.10408(a)thuntek.net> Content-Type: text/plain; charset=ISO-8859-1; format=flowed >> AnotherVisitation2 { ; dougs1 Nice one Doug. By the way, can you repost your Potholes image with the colors? Here's another: 60416016 { ; ; t= 2:23:06.13 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotbc2 passes=1 center-mag=-0.74363495478590200/-0.05553012646680493/\ 4.263674e+008/1/175.000000818728353/-1.36359340686953\ 434e-006 params=1.99/0/10/0 float=y maxiter=9000 inside=0 outside=tdis symmetry=none periodicity=10 colors=000fo_<3>ReEMb8M_8<3>KM8KJ8JF8JC8I88H44G00<3>T\ A5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8>\ zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E<\ 2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0g\ y0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Q\ c<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvl\ qvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>\ XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<\ 3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1\ zzC<2>zzz<3>jqd } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } #################################################################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.463 / Virus Database: 269.6.0/775 - Release Date: 4/24/07 5:43 PM

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Purple Kidney Beans in Butter
by Hal Lane 25 Apr '07

25 Apr '07

I have been calculating the parent fractal of each of Jim Muth's Fractal of the Day offerings recently because his descriptions of them often lead me to want to see more. Most of these parent fractals are interesting in their own right, but I often want to see a small area of the fractal a little better and then I am off zooming into fractal space again. Here is a zoom into Jim's FOTD_Apr-25_07 parent fractal that could be called Purple Kidney Beans in Butter. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= FOTD_Apr-25_07zoom { ; Hal Lane 07-04-25 1:58 P400 1024x768 ; Zoom into Jim Muth's 07-04-25 FOTD reset=2004 type=formula formulafile=_m.frm formulaname=mandautocritinz function=recip passes=1 center-mag=-2.1175/-3.76512/9.956103/1/122.499999999999\ 986/3.85524945301085609e-014 params=-6/-1.2/-0.6/-6.6/0/0/0/0 float=y maxiter=9000 inside=0 periodicity=10 sound=off colors=000ttwttwuuxssvssv<8>aad__bYY`<2>SSVQQTOQTRTQVXO\ X_M_cJcfHehFhlCloAmr8qv5tz3vz1rv3or3lo5<3>Za6VZ6RV8OR8K\ O8HKADHAADC<2>03D00D00D00F00F00F00K00Q50TC0ZJ0cQ0fX0lc0\ qj0tq0zx0zr0xo0tj0of0la1fZ6cTCZQFVKKQHOMDKJAJF8FC5D83C5\ 081060030010<3>000000000<2>0101505A06D0AJ0CM0DQ0HV0JZ0M\ c0Of0Qj0To0Vr0Zx0_z0az0ez0fz0hz0jz0jz0jz0lz0lt0lq0lm0mh\ 0me0m_0oX0oR0oO0oK0lM0jM0hM3fO6eOAaOD_QHZQKXQOVQQRRTQRX\ OR_MTcKTfHTjFVmDVqCVtAVvCTtCTrCTqDTqDToDTmFTmFTlFTjFThH\ ThHTfHReHQeFOaDMZCKVCJTAHQ8FMAFMCHMDJMFKOFOTHQXJRaKVcKX\ eKXhKXjKZm<3>J_vJ_xJ_zJazJazJazJcz<2>JczvR0zH0z86z0Fz6D\ zDDzJCzQCzVAzaAxfAvm8tt8rz6<3>lz5zzAzzFzzJzzMxzOrzRmzTj\ zXez__zaXzeRzfMzjJzmDzo8zr5zt0zx0zz1zc5zJAz0Dz08z05z01z\ A<3>0zo0zz0zz0zz0zz0zz0zx0zv0zr3zo6zmqzztzzxzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE========================================= No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.463 / Virus Database: 269.6.0/775 - Release Date: 4/24/07 5:43 PM

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<Lee> The 2 hour wait to see your 17 Apr 60416016 fractal was well worth it
by Hal Lane 25 Apr '07

25 Apr '07

Lee, The 2 hour wait on my 400 MHz PII to see your 17 Apr 60416016 fractal was well worth it. Thanks for posting it. And thanks to whoever put 'Disk' Video Mode into Fractint, too! - Hal Lane ######################### # hallane(a)earthlink.net # ######################### >Date: Tue, 17 Apr 2007 15:14:38 -0600 >From: "Lee H. Skinner" <skinner(a)thuntek.net> >Subject: Re: [Fractint] AnotherVisitation Doug's version >To: Fractint and General Fractals Discussion > > >> AnotherVisitation2 { ; dougs1 > >Nice one Doug. By the way, can you repost your Potholes image with the >colors? > >Here's another: ##################################################### 60416016 { ; ; t= 2:23:06.13 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotbc2 passes=1 center-mag=-0.74363495478590200/-0.05553012646680493/\ 4.263674e+008/1/175.000000818728353/-1.36359340686953\ 434e-006 params=1.99/0/10/0 float=y maxiter=9000 inside=0 outside=tdis symmetry=none periodicity=10 colors=000fo_<3>ReEMb8M_8<3>KM8KJ8JF8JC8I88H44G00<3>T\ A5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8>\ zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E<\ 2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0g\ y0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Q\ c<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvl\ qvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>\ XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<\ 3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1\ zzC<2>zzz<3>jqd } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } ##################################################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.463 / Virus Database: 269.5.9/773 - Release Date: 4/22/07 8:18 PM

4 4

FOTD 25-04-07 (FOTD for April 25, 2007 [Not Rated])
by Jim Muth 25 Apr '07

25 Apr '07

FOTD -- April 25, 2007 (No Rating) Fractal visionaries and enthusiasts: For today's FOTD I combined 6 negative parts of Z^(-1.2) with 0.6 negative part of Z^(-6.6) and added (1/C). This gave me a fractal with a prominent 'fan' and several large bays with filaments extending from them. The filaments terminate in fractal rings. Today's image is located in a spiral where a prominent filament intersects a circle. Since I put very little effort into the image, and I recall several quite similar FOTD's, I could neither name nor rate it. And the calculation time is a bit longer than ideal, but it's still a pleasant fractal to stand in awe of, or sit in awe of in this case. (All fractals are awesome.) The pure gray background is a kind of test. I'm not sure whether I like or dislike it. I was tempted to change it to a more brilliant hue, but in the end I decided to let the back- ground remain gray. To see the image as it is, either run the included parameter file and wait a few minutes, or visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image posted there. Great weather prevailed again on Tuesday here at Fractal Central -- lots of sun and a temperature of 73F 23C. The fractal cats checked the outside conditions from their window shelf, then decided it would be more fun to chase each other up and down the hallway. My day turned a little busy when an unexpected job came in, but the work is now behind me and tomorrow promises to be a quieter day. The next FOTD will appear in 24 hours. Until then, take care, and see the fractal wonders around you. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr-25_07 { ; time=0:09:30.34--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-2.61119533371666400/-3.479673158648305\ 00/2.36905e+010/1/32.468695766896694/0.05936186487\ 65445803 params=-6/-1.2/-0.6/-6.6/0/0/0/0 float=y maxiter=2000 inside=0 logmap=307 periodicity=10 colors=000ttwttwuuxssvssvqqtoormmpkkniilggjeehccfa\ ad__bYY`WWZUUXSSVQQTOQTRTQVXOX_M_cJcfHehFhlCloAmr8\ qv5tz3vz1rv3or3lo5hl5eh5ae6Za6VZ6RV8OR8KO8HKADHAAD\ C6AC36C03D00D00D00F00F00F00K00Q50TC0ZJ0cQ0fX0lc0qj\ 0tq0zx0zr0xo0tj0of0la1fZ6cTCZQFVKKQHOMDKJAJF8FC5D8\ 3C50810600300100000000000000000000000000101505A06D\ 0AJ0CM0DQ0HV0JZ0Mc0Of0Qj0To0Vr0Zx0_z0az0ez0fz0hz0j\ z0jz0jz0lz0lt0lq0lm0mh0me0m_0oX0oR0oO0oK0lM0jM0hM3\ fO6eOAaOD_QHZQKXQOVQQRRTQRXOR_MTcKTfHTjFVmDVqCVtAV\ vCTtCTrCTqDTqDToDTmFTmFTlFTjFThHThHTfHReHQeFOaDMZC\ KVCJTAHQ8FMAFMCHMDJMFKOFOTHQXJRaKVcKXeKXhKXjKZmKZo\ KZqJ_tJ_vJ_xJ_zJazJazJazJczJczJczJczvR0zH0z86z0Fz6\ DzDDzJCzQCzVAzaAxfAvm8tt8rz6qz6oz5mz5lz5zzAzzFzzJz\ zMxzOrzRmzTjzXez__zaXzeRzfMzjJzmDzo8zr5zt0zx0zz1zc\ 5zJAz0Dz08z05z01zA0zK0zV0ze0zo0zz0zz0zz0zz0zz0zx0z\ v0zr3zo6zmqzztzzxzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

2 1

<David> An additional way to create 3:2 aspect ratio fractals
by Hal Lane 24 Apr '07

24 Apr '07

"David M Fisher" <sunfish(a)intercom.net> said: (original posting: Date: Sun, 22 Apr 2007 14:16:01 -0400) >>The normal screen resolution of monitor displays is >>in a ratio of 4:3, ie, 800x600. Is it possible to >>render in another resolution without distortion? Jonathan said: >Take a look at the 'v' screen and its documentation. Set: >Preview Display? (no for full screen) = yes >Auto window size reduction factor = 1 >Final media overall aspect ratio, y/x = 0.66 >Crop starting coordinates to new aspect ratio? = yes Another way to create fractals of essentially any desired resolution is to add lines to your FRACTINT.CFG file. The lines from my FRACTINT.CFG file I pasted below may wrap in the various email systems. You can make a backup copy of your FRACTINT.CFG file and use any ASCII text editor to look at -- and add lines to -- your FRACTINT.CFG file. After you add lines to FRACTINT.CFG, when you press the <DEL> key in Fractint you will see your new lines as new resolutions able to be chosen for the calculation. ; FRACTINT.CFG File ;key name of adapter/mode | AX | BX | CX | DX |mode| x | y |clr| comments ;=========================================================================== ====== F2 ,IBM 16-Color EGA , 10, 0, 0, 0, 2, 640, 350,256,Standard EGA hi-res mode F3 ,IBM 256-Color VGA/MCGA , 13, 0, 0, 0, 3, 320, 200,256,Quick and LOTS of colors ... The 2nd and 3rd lines below are Disk 'Video' mode lines I added to my FRACTINT.CFG file: ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,1024, 768,256,For Background Fractals ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,2048,1536,256,/For Bkgnd 2*(1024 x 768) ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,4096,3072,256,/For Bkgnd 4*(1024 x 768) They let me create fractals of twice or four times the final resolution I want. After calculating the 'oversized' image I use my graphics software, CompuPic, to create an anti-aliased 1024 x 768 .jpg of the fractal from the oversized version. Most anti-aliased 1024 x 768 fractals are clearly visually superior to the same one calculated directly as 1024 x 768. You may want to consider using this technique for the fractals you sell. A few experiments should tell you whether this method provides any visible improvements in the printed results. See the Fractint docs for more info: "6.3 Customized Video Modes, FRACTINT.CFG If you have a favorite adapter/video mode that you would like to add to Fractint... if you want some new sizes of disk-video modes... if you want to remove table entries that do not apply to your system... if you want to specify different "textsafe=" options for different video modes... relief is here, and without even learning "C"! You can do these things by modifying the FRACTINT.CFG file with your text editor. Saving a backup copy of FRACTINT.CFG first is of course highly recommended! ..." Typing: FRACTINT MAKEDOC at the DOS command line will create the file FRACTINT.DOC. It is an ASCII text file, not an MS Word document as the .DOC implies. I rename the documentation file to FRACTINT.WRI so that the WRITE text editor (which can handle larger files than NOTEPAD) will edit the FRACTINT.WRI file when it is double clicked on. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.463 / Virus Database: 269.5.10/774 - Release Date: 4/23/07 5:26 PM

1 0

FOTD 24-04-07 (Valley Scenery [6])
by Jim Muth 23 Apr '07

23 Apr '07

FOTD -- April 24, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image was created when the formula Z^(1.3)+C was iterated 13 levels up the logarithmic ladder, with the escape radius set to 625. The parent fractal is a Mandeloid with several bays and an extremely long main filament. A prominent midget lies about midway out this filament. This midget is shaped much like the entire parent fractal, with several bays. Today's scene lies rather deep in one of the valleys that separate the bays. I named the image "Valley Scenery", since it is little more than a snapshot of what exists deep in a valley of a midget in a Mandeloid of order 1.3. The tiny midget at the center of the image is almost an accidental intruder. It has little to do with the main part of the image, which is little more than a collection of mostly random bits and pieces. One tiny bit of interest exists near the edges of some of the larger pieces of fractal stuff in the foreground, where comb- like features appear to be sprouting. There could be a bit of excitement in one of these combs, but the entire area is too slow for convenient exploration. The rating of a 6 might be a bit overdone. One thing definitely overdone however is the calculation time of over 1-1/2 hours. But the wait may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I sent the image on ahead to Paul at the FOTD web site about an hour ago, so it should be posted for viewing very soon. Friday was the fourth near-perfect day in a row here at Fractal Central, with lots of sun, gentle winds, and a high temperature of 84F 29C. The big excitement for the fractal cats came in the morning, when a lovesick tomcat wandered by, calling out for any lady cat within hearing. The local fractal lady cat, Cassie, seemed unimpressed by the scraggly intruder. My day was about average, though an extra long lunch did put the real work a bit behind. The next FOTD will appear in 24 hours. Until then, take care, and be fractally oriented. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Valley_Scenery { ; time=1:38:39.11--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.49558348566892000/-5.297525258181361\ 00/1.145386e+007/1/112.5/2.16309381435852988e-006 params=1.3/0/13/525 float=y maxiter=25000 inside=0 logmap=1300 periodicity=10 colors=000602704806908A0AB0CC0ED0GE0IF0KG0LH0MI0NJ\ 0OK0PM0QP0SR0UU0WW0YZ0__0ac0dd0ff0hh0hh0hi0hi0hk0h\ k1hm2hm5ho7hoAfpCfpDfrGfrIftKfvNfvOfwSfwTfyVfyYdz_\ dzadzcdzedzgdzidzkdzmezoezqfzsgyujxwlwxovyquzttzvz\ flzdmzcmzcmzamz_kyYkyXkwXkwVjvTjvSjtShrQhrOhpNhpLf\ oLfoKfmIdmGdkGdkFdiDciCchCchAaf8af7ad5ac5_c4_a2_a1\ Y_1Y_0YZ0YZ0XX0XX0XW0VW0VU0VU0VS0TS0TR0TS0VR0TR0TP\ 0TP0TO0TO0SM0SM0SK0SK0SJ1SJ1QH2QH4QG5QG7QG8QEAOECO\ DDODFOCGOCIOAINA0N98N9GN8ON8QN6SL6Tv6LL5Zd55L4_L4_\ K2aK2cK1dK1fK0hK0jI0kI0mI0ZI0zI0nn0jarzn0nI0nK1mK1\ mK2kK4kL5kL6jLczm8hN9hNAfNCfODdOEdOznOGcQHcQJaQKaQ\ M_SM_SOYSPYSRYTznnSXTUVVWVVXTVZTV_SX_SXaSXcQXdQYfO\ YhOYhN_iN_kL_mL_oLapKapKarIatIcvGcwGczFazGcwGcrGdo\ KdiPffUfcZfZchWhhRmjOrjJvkGzkDzk9zm6zm2zn0zn0zn5zn\ AznFznKzjPzcUzXZzQczKhzDmz7rz1vz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zzDzzDzzCzzCzzC } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

<Jonathan>'Idle Sensitivity' in XP
by Hal Lane 23 Apr '07

23 Apr '07

#################################################################### >Hal Lane wrote: > >> I set the Idle Sensitivity in the .pif file's Properties >> to 'High' and Windows seemed to give more CPU time to >> Fractint. Jonathan wrote: >My experience with XP is that the idle sensitivity needs to be set to >'Low'. Thanks for giving your experience with XP about 'Idle Sensitivity.' I have not yet tried this in conjunction with changing Fractint's task priority. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### >Date: Wed, 18 Apr 2007 17:13:23 -0500 >From: Jonathan Osuch <osuchj(a)avalon.net> >Subject: Re: [Fractint] <Barry> Try these settings for the Fractint > .PIF file in WinXP >To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> >Message-ID: <1176934403.3945.4.camel(a)linux.site> >Content-Type: text/plain > >On Tue, 2007-04-17 at 21:37 -0400, Hal Lane wrote: > >> I set the Idle Sensitivity in the .pif file's Properties >> to 'High' and Windows seemed to give more CPU time to >> Fractint. But with a really time consuming fractal >> Fractint never uses more than 50% of the Athlon 64 3500+ 2.2GHz >> CPU as shown in the Task Manager -- even when I raised >> the priority of the task to 'Real Time' -- the highest >> setting. The other 50% of the CPU is allocated to the >> System Idle task -- in other words, the CPU does nothing >> 1/2 of the time. :-( > >My experience with XP is that the idle sensitivity needs to be set to >'Low'. > >Jonathan #################################################################### No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.463 / Virus Database: 269.5.9/773 - Release Date: 4/22/07 8:18 PM

1 0

Re:[Fractint] FOTD 23-04-07 (Fractal Armor [7])
by Jacopo Longo 23 Apr '07

23 Apr '07

My compliments! Jacopo, Italy ps: has the image been animated as well, maybe, and made available to be downloaded ? Thank you. > > FOTD -- April 23, 2007 (Rating 7) > > Fractal visionaries and enthusiasts: > > Today's discussion will be very brief. No, I am not very busy, > I simply have a slight case of spring fever. > > Today's image came about when I added an infinitesimal part of > Z^(-32) to straight (Z) and checked the X-axis. I named the > image "Fractal Armor" because the elements surrounding the > midget remind me of mail armor. Then I rated it at a 7. > > The calculation time of 12 minutes would be more convenient if > it were a few minutes shorter, but if the image is viewed on the > FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > the calculation time becomes irrelevant. > > The Sunday weather was absolutely perfect here at Fractal > Central -- nothing but sun and a temperature of 79F 26C. With > little work to contend with, we could not be blamed for spending > the afternoon sitting on the river bank, feeding the local > ducks. The cats spent the afternoon wondering where we were. > > The next FOTD will appear in 24 hours or so. Until then, take > care, and be of long-lasting good cheer. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Fractal_Armor { ; time=0:12:01.61--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandAutoCritInZ function=ident passes=1 > center-mag=-0.04280764929/0/5678228 params=1e-025/\ > -32/1/1/0/0/0/0 float=y maxiter=2400 outside=real > inside=0 logmap=321 symmetry=xaxis periodicity=10 > colors=000ztMPtNPtOPuPPuQPuRPuSPuTPuUPqTPnTPkTPhSP\ > eSPbSPZRPWRPTRPQQPNQPKQPHQOJROKROLROMRONROOSOPSOQS\ > ORSOSSOTTOUTOVTOXTOYTOZTO_UO`UOaUObUOcUOdVOeVOhVOm\ > VOrVOwVOrWOmXOhYOcZOa_O``OZaOYbOXcOVdOUeOSfORgOPgO\ > OhOMiOLjOKkOIlOHmOFnOEoOCpOBqO9rO8sO7sQ8rS8qT9pV9o\ > WAnYAmZAl`BkaBjcCidCifChhDgiDfkEelEdnEcoFbqFarG`tG\ > _uG_sIZrKYqLXpNXoOWmQVlSUkTUjVTiWSgYRfZRe`QdbPccPa\ > eO`fN_hMZiMYkLWmKVnJUpJTqISsHRtHNsNJsTGsZCsd9si7vi\ > 5xi6ug6se6qc7oa7m_7kY7iW8gU8eS8bQ8`O9ZM9XK9VI9TGAR\ > EAPCANAAL8BK9CKACJBDJCDIDEIEFIFFHGGHGGGHHGIHFJIFKJ\ > FLJEMKENKDOLDOLCPMCQNCRNBSOBTOAUPAVPAVHCNADFBCEBCE\ > BCEBCDBBDBBDCBCCBCCACCABCABCABD9AD9AD9AD99D99D89E8\ > 8E88E88E77E77E77F76F66F66F65F65F65H57I59J5AK5CL5DM\ > 4FN4GO4IP4JQ4LR3MS3OT3PU3RV3SW2UX2WY2XZ2Z_2_`1aa1b\ > b1dc1ed1ge0hf0jg0kh0mi0nbATTSQJhO9yM7zL6zL7wM7tM7r\ > M8oN8mN8jN9hN9eO9bOA`OAYO } > > frm:MandAutoCritInZ {; Jim Muth > a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), > g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), > k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): > z=k*((a*(z^b))+(d*(z^f)))+c, > |z| < l } > > END PARAMETER FILE========================================= > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > ------------------------------------------------------ Passa a Infostrada. ADSL e Telefono senza limiti e senza canone Telecom http://click.libero.it/infostrada

1 0

FOTD 23-04-07 (Fractal Armor [7])
by Jim Muth 23 Apr '07

23 Apr '07

FOTD -- April 23, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's discussion will be very brief. No, I am not very busy, I simply have a slight case of spring fever. Today's image came about when I added an infinitesimal part of Z^(-32) to straight (Z) and checked the X-axis. I named the image "Fractal Armor" because the elements surrounding the midget remind me of mail armor. Then I rated it at a 7. The calculation time of 12 minutes would be more convenient if it were a few minutes shorter, but if the image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> the calculation time becomes irrelevant. The Sunday weather was absolutely perfect here at Fractal Central -- nothing but sun and a temperature of 79F 26C. With little work to contend with, we could not be blamed for spending the afternoon sitting on the river bank, feeding the local ducks. The cats spent the afternoon wondering where we were. The next FOTD will appear in 24 hours or so. Until then, take care, and be of long-lasting good cheer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Armor { ; time=0:12:01.61--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.04280764929/0/5678228 params=1e-025/\ -32/1/1/0/0/0/0 float=y maxiter=2400 outside=real inside=0 logmap=321 symmetry=xaxis periodicity=10 colors=000ztMPtNPtOPuPPuQPuRPuSPuTPuUPqTPnTPkTPhSP\ eSPbSPZRPWRPTRPQQPNQPKQPHQOJROKROLROMRONROOSOPSOQS\ ORSOSSOTTOUTOVTOXTOYTOZTO_UO`UOaUObUOcUOdVOeVOhVOm\ VOrVOwVOrWOmXOhYOcZOa_O``OZaOYbOXcOVdOUeOSfORgOPgO\ OhOMiOLjOKkOIlOHmOFnOEoOCpOBqO9rO8sO7sQ8rS8qT9pV9o\ WAnYAmZAl`BkaBjcCidCifChhDgiDfkEelEdnEcoFbqFarG`tG\ _uG_sIZrKYqLXpNXoOWmQVlSUkTUjVTiWSgYRfZRe`QdbPccPa\ eO`fN_hMZiMYkLWmKVnJUpJTqISsHRtHNsNJsTGsZCsd9si7vi\ 5xi6ug6se6qc7oa7m_7kY7iW8gU8eS8bQ8`O9ZM9XK9VI9TGAR\ EAPCANAAL8BK9CKACJBDJCDIDEIEFIFFHGGHGGGHHGIHFJIFKJ\ FLJEMKENKDOLDOLCPMCQNCRNBSOBTOAUPAVPAVHCNADFBCEBCE\ BCEBCDBBDBBDCBCCBCCACCABCABCABD9AD9AD9AD99D99D89E8\ 8E88E88E77E77E77F76F66F66F65F65F65H57I59J5AK5CL5DM\ 4FN4GO4IP4JQ4LR3MS3OT3PU3RV3SW2UX2WY2XZ2Z_2_`1aa1b\ b1dc1ed1ge0hf0jg0kh0mi0nbATTSQJhO9yM7zL6zL7wM7tM7r\ M8oN8mN8jN9hN9eO9bOA`OAYO } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Rendering Ratio
by David M Fisher 22 Apr '07

22 Apr '07

To all generally, and Jonathan Osuch, in particular: The normal screen resolution of monitor displays is in a ratio of 4:3, ie, 800x600. Is it possible to render in another resolution without distortion? I am interested specifically in 3:2. And if this can be accomplished with fractint, will the saved render need to be cropped, or will it be saved as the current images are, but in the different ratio (3:2)? I realize that in the 3:2 format there will be part of the raster not being used. That is ok, but will the unsued part be part of the saved render, or only the active pixels? I have looked through the fractint documentation and didn't find anything referencing this. This is not to say it isn't there, but only that I didn't locate it. If there is anyone with experience in this area who reads this listing, I would appreciate either direction(s) on how this is to be accomplished, or reference(s) to the documentation so I can find and do it for myself. The reason I need to do this is because my printer has paper sized in the 3:2 ratio and what I now have to do now is dither the finished images to fit the paper size. It is an acceptable fix, and I have sold many in this format, but I would like to have the ability to print an image without <any> distortion whatsoever, so that the printed image is an actual representation of the raster display. If this can not be accomplished, I can continue to march as I have been, but if I can do this at 3:2 I would be extremely pleased. Thanks for taking any time to reply. David M Fisher sunfish(a)intercom.net

2 1

FOTD 22-04-07 (Iteration Chain [8])
by Jim Muth 22 Apr '07

22 Apr '07

FOTD -- April 22, 2007 (Rating 8) Fractal visionaries and enthusiasts: Due to another big rush, today's discussion is short. But do not be deceived by the brevity; the actual image is well above FOTD average. Today's image came about when I subtracted 5 parts of (1/Z) from Z^(-4), added (1/C) and iterated with the escape radius set to an impressive 3600. I will not begin to describe the immense spidery parent fractal, which is unlike anything that has gone before. Being pleased with the smoothness of the image's colors, I rated it at an 8. I named it "Iteration Chain", a name that could be applied to all fractals. The calculation time of 9-1/2 minutes is marginally within reason. Even more reasonable is the mere minute or so expended by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed GIF image there. It was another perfect day here at Fractal Central on Saturday -- a virtual repeat of Friday. And once again the fractal sabre- tooth cats ignored the weather. They were after big prey -- a catnip mouse. My day was very busy, but the work is nearly accomplished, and by Sunday it will be finished. The next FOTD will appear around that time. Until then, take care and keep your fractal spirits high. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iteration_Chain { ; time=0:09:26.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.713802219497/-1.425678410608/\ 3.91862e+007/1/-110/4.2853591961e-005 params=1/-4/\ 5/-1/2.5/3500/0/0 float=y maxiter=256 inside=fmod proximity=0.5 outside=fmod logmap=yes periodicity=10 colors=000zzzwwzttzqqznnzmmzlnzkozjpziqzhrzgrzfrzg\ sziszjszlszntzotzqtzstyrtxrrxrpwrnwrkvrivrgureurbt\ r`trZsrXsrUrrSrrQqrOqrLprJprHorFovAqrDonGnjJlfMkcP\ j_ShWVgSYeP`dLccHfaDi`Al_8eY6_W4TU2NS0IS1HR1HR1GR1\ GR1GR1FR1FR2FQ2EQ2EQ2EQ2DQ2DQ2DQ3CP3CP3BP3BP3BP3AP\ 3AP4AO49O49O49O48O48O48O5AP5BQ6CR6DS7ES7FT8GU8HV9I\ W9JWAKXALYBMZBNZCP_CQ`DRaDSbETbEUcFVdFWeGXfGYfHZgH\ _hI`iIaiJcjJdkKelKfmLgmLhnMioMjpNkqNlqOmrOnsPotPpt\ OosOnsOmrOlrOkrOjqOiqOhqOgpOfpOepNdoNcoNboNanN`nN_\ nNZmNYmNXmNWlNVlNUlMTkMSkMRkMQjMPjMOjMNiMMiMLiMKhM\ JhMIhLHgLGgLFgLEfLDfLCfKBeJAeI9eH8dG7dF6dE5cD4cC3b\ B2bA1a90a80`70`60_50_40Z30Z20Y10Y00X00X00W00W00V00\ V00U00U00T00T00S00S00R00R00Q00Q00P00P00O00O00N00N0\ 0M00M00L00L00K00K00J00J00I00I00H00H00G00G00F00F00E\ 00E00D00D00C00C00B00B00A00A00900800700600500400300\ 2001000000000000000000000 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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<Brian Prentice> Many of your fractals are very impressive
by Hal Lane 21 Apr '07

21 Apr '07

Brian, Your: > another rendering of Jim's fractal [for his 4/20/07 FOTD]: > http://linuxenvy.com/bprentice/Fractals/Set%2012/BP_12_30.jpg > Brian Prentice is very nice. Many of the other fractals on your site are very impressive, both in their coloring and the fractal content. Were most of your fractals created in UltraFractal? <--<< To see more of Brian's fractals go to: http://linuxenvy.com/bprentice/Fractals/ He has a little under a GB of fractals he has created that I like very much. Don't be put off by the 'Set nn' directory format web pages -- just click on the underlined links -- for example, click on: - Set_6/ and then on - BP_6_64b.jpg - Etc. to see the really great fractal at: http://linuxenvy.com/bprentice/Fractals/Set%206/BP_6_64b.jpg - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.446 / Virus Database: 269.5.7/771 - Release Date: 4/21/07 11:56 AM

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FOTD 21-04-07 (Fractured Pancakes [8])
by Jim Muth 21 Apr '07

21 Apr '07

FOTD -- April 21, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies near a shapeless blob in the open heart of the parent fractal that results when 5 negative parts of Z^(-1.618) and 1 negative part of Z^(-8.09) are combined and (1/C) is added. At first glance the inside parts of the parent fractal appear to be totally empty. A brief check however shows that the inside parts are filled with a universe of tiny dots. And a check of these dots shows every one to be a new fractal universe. Perhaps the most interesting thing with today's image is the outlined midget just right of center. It is very easy to miss when exploring the apparently featureless fractal interior waste land of the parent fractal. In my opinion, the image rates an honest 8. I named it "Fractured Pancakes" because the sliced blobs give the appear- ance of sliced pancakes cooking on a grill. The calculation time of 23-1/2 seconds will seem like one nanosecond once the image comes into view If one nanosecond is too long to wait for fractal satisfaction, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday turned into an absolutely perfect day here at Fractal Central, with not a cloud in the deep blue sky, light winds and a temperature of 73F 23C. It reads great but the fractal cats were not impressed. They were more interested in wreaking havoc among the empty cartons in the store room. I was a bit too busy to fully enjoy the outside perfection, but I did manage a twenty minute walk in the afternoon sun. As always, the next FOTD will appear in 24 hours. Until then, take care, and what's it all about? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractured_Pancakes { ; time=0:00:23.25--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.18782704593405150/+0.122085681251137\ 50/95.55852/1/2.5/1.310757e-014 params=-5/-1.618\ /-1/-8.09/0/0/0/0 float=y maxiter=400 inside=bof60 outside=atan periodicity=10 colors=000zzzzzzzzzzzwzztzyqzypzymzxjzxizxizwizvhz\ vhzuhyuhxugwtgvtgutftsfssfrseqrepreprdpqdpqdoqdopc\ opcopcooboobnobnnannannanm`mm`qmbqnbqncqocrpdrqerr\ essfssgstgsuhtvi06l07m08n09o0Ap0Bq0Cr0Dr0Er0Fr0Gr4\ Hr6Ir7Jr8KrALrBMqDMqEMqFMqHMqIMrKMrLMsMMsOMsPMtQMt\ QMuQMvRMvRMwQMwQMwPMwPMwOMvOMuNMtNMsMMr`hl`hk`hjah\ hahgbhfbhdchcchbdh`dh_dhZehXehWfhVfhTghSghRhhPhhOh\ hNihLihKjhJjhHkhGkhFlhDlhCmiAlhBlhBlhBlgBlgClgCkfC\ kfCkfDkeDkeDkeDjdDjdEjdEjcEjcEjcFibFibFibFibFiaGia\ GiaGh`Gh`Hh`Hh_Hh_Hh_IgZIgZIgZIgYIgYJgYJfXJfXJfXKf\ WKfWKfWKfWKeWLdWLdWLcWLcWLbWLbWLaWLaWL`WL`WL_WL_WL\ ZWLZWLYWL_RQYWLX`HVeCUi8Vh9Wg9Xf9YfAZeA_dA`cB`cBab\ BbaCc`Cd`Ce_DfZDgYDh`GgZEgYDgWCgVBgTAgS9gQ8gP7fQ6e\ Q6eR6dR6dS6cS6cT5bT5aU5aU5`V5`V5_W5_W4ZX4ZX4YY4XY4\ XZ4WZ4W_3V_3V`3U`3T`3Ta3Sc3Se2Rg2Ui2Zk2cm2ho2mq2rs\ 1vu1zw1zx1zy1zz1zz1zz0zz0 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 20-04-07 (Four-Leaf Shamrock [8])
by Jim Muth 20 Apr '07

20 Apr '07

FOTD -- April 20, 2007 (Rating 8) Fractal visionaries and enthusiasts: Add 1/2 part of Z^(-6.6) to 5 negative parts of Z^(-1.1), combine with (1/C) and what do you get? You get the parent fractal of today's image -- a huge fractal shaped roughly like a letter X. Then raise the escape radius to 8.33e+017 and what happens? The fractal starts to evaporate. Today's scene is located right at the edge of the evaporating outside stuff. Today's image would normally be a very fast one, rendering in about 2 minutes. But for some reason, the 'zmag' inside fill, which makes the picture, slows the calculation to 23 minutes, with the passes=t option. The passes=g option is not quite as slow, but it misses too much of the finer detail. I named the image "Four-Leaf Shamrock". Well, that's what it reminds me of. Then I rated it at a lofty 8. In my opinion, it's one of the more unusual FOTD images, well worth its rating. The slow calculation time may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a warmer temperature of 57F 14C made things far more pleasant here at Fractal Central on Thursday. The fractal cats, who appear to be totally unaware of their 'fractal' nature, spent several hours on their shelf in the sunniest window. I spent even more hours at the computer, trying to bring things back under control. By the end of the day, I had success in sight. The next in the series of FOTD's will appear in 24 hours. Until then, take care, and make a quantum leap to somewhere spectacular. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Four-Leaf_Shamrock { ; time=0:23:03.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=t center-mag=-25.29974773215104000/+0.42617313408043\ 040/1310/1/-22.5/-2.85858038628905575e-009 params=-5/-1.1/0.5/-6.6/0/8.33e+017/0/0 float=y maxiter=1000 inside=zmag periodicity=10 colors=000uzIptJopKnlLmhLldMk`NjXNiTOhPPhLPZGWQCbG\ 7i73oE9mKFkQLiWRgaXegbcmhasn`olbkkdhjedigahiYgjVfl\ RenOdowg6vd7vb8v`8vY9vWAuTBuRBuPCuMDtKEtIEtFFtDGtB\ GnDFiFFcGFZIFTKFOLFINFDPF8QFANECKDDHDFECGCCFBBFBBF\ BBFABEABEABE9BE9AE9AD8AD8AD8AD8AC7AC7AC79C69C69B09\ B59B59B59B59E68H78K87N97QA6TB6WC5ZD5aE4dF4gG3iG3gI\ 7fKAdMDcOGaQK`SNZUQYWTWYXV__TabSceQeiPglNioMkrLmuN\ lsPkqQjoSimUhkVhiXggYff_edadbbc`dcZfbXgaVZqR_mS_iU\ _eV`aWzcKaTZaP_aL`zHabDcc9dc5ec1fd5he8ieBjfElfHmgL\ nhOphRqiUriXtz`0kzvkfxliyllzifwfaucXr`Rp000VHkTCi_\ TceiZkyUI6RG9QECPDFOBIN9LM8OLBMJELIHJHJIGMGFPFERDD\ UCCXBAZ99a88d67f56i35l24n13o2Ip3Xp4jl9khDkdIk`MkXQ\ kUVlQZlMblIglEklBolMchWTdeI`o7Xp9VpAUqBSqCRqDQrEOr\ FNsGLsHKsIJtJHtKGtLFuMDuNCvOAvP9vQ8wR6wS5wT4rQDnOL\ jMUeKaaIjYGrYHrXJsXKsWMtWNtVPuVQuUSvUTvTVwTWwSYxSZ\ xZbpdehkh`qkUqnRqpPqsMqvK } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 19-04-07 (Feathery Fantasia [7])
by Jim Muth 19 Apr '07

19 Apr '07

FOTD -- April 19, 2007 (Rating 7) Fractal visionaries and enthusiasts: My apologies for a short discussion, but we have a minor rush in progress here at F.C. Today's image subtracts 3001 parts of Z^(-1.5) from 3001 parts of Z^(-1.55), then adds straight C. The parent fractal is shaped like a giant arrowhead. The arrowhead is lying inside a huge circle. Today's scene, which has an escape radius of 3500, is located on the northern edge of the arrowhead. I named the image "Feathery Fantasia" and rated it at a 7. The calculation time of 7 minutes may be avoided by viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a chilly temperature of 52F 11C kept the near- record cold April alive and well. The fractal cats noted this, then went about their business. My day became active when an unexpected job came in, which will keep us busy for about three days. The fractals will continue during the rush, but the discussions will be short. The next fractal will appear in 24 hours. Until then, take care, and become one. One of what is up to you to decide. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Feathery_Fantasia { ; time=0:07:03.03--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.35912938856434320/+1.674505578125733\ 00/4747.446/1/55/-6.030292937e-011 params=1/-1.55/\ -1/-1.5/3000/3500/0/0 float=y maxiter=1800 inside=0 logmap=81 periodicity=10 mathtolerance=0.05/1 colors=000KnvKluJjtJhrJgqIeoIcnIblI`kHZiHYhHWfGUdG\ TcGRaGOZFMVFJTFGQDAMFFPHJSINVKRYLT_NYbO`eQdgRgiTjj\ UmlWpnXspZvr_vs`xt`ztavtautbttbsucrucqudpudouenuen\ vfmvflvgkvgjvhivhhwigwifwjewjdwjdxjdwf_ubVtZQrVKpR\ FoNAmG4oJ5lL6jN7gP8eS9bUA`WAYYBW`CTbDRdEOfFMiGJkGH\ mKEoPCrU9tZ7vc4xh2zm0wi2te3qa4nY6kU7hU8eU7bS9_PBXN\ CWMEYLG_KH`JJbIKdIMeHOgIPiHRjGTlEUnDWt8ZoDXkIWgNVc\ SUZXSVaRRfQNhPJjOFfKCbG9cC6c81c43c55c56c58d59f6Bh6\ Dj6Kl6Um7cm7mm7mr7mw7mw8mw8mw8mw8mw9mr9mr9mr9mr9Vr\ 9RrAQrBPr8PmCPhFFcJHZMKUQNUTPUWNUULUTJUSIURGUQEUPC\ UNBUM9UL7UK5UJ4UI7UH9UHCUHEUGGUGJTGLSGNRFQRFSQFXPH\ UQFSQEPRDNRBLRAIS9GS7DV6BX58Y19`4Ac6Bd8CeBCfDDgFEg\ IFhKGiMGjOHkRIlTJmVKmYKn_LoaMpdNqfOrhSsiOtjKukGvkC\ wl8xl4ym1zm3zn5zn6zn8zn9znBznCzoEzpFzqHzrJzsKztMzu\ NzvPzwQzxSzyTzzRzzQzzPzzOzzNzzMzzOzzPzz`zz_zzYzzXz\ zVzzUzzTzzRzzQzzOzzNzzLzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Question!
by Kim Hagar 18 Apr '07

18 Apr '07

Hi, All! Sorry to be so absent, but I am in the middle of a gigantic network migration and I am overwhelmed! I DO want to know, however, how would anyone ever be able to tell if a new computer they were ordering would be able to generate fractals with Fractint to the higher resolutions? I want a new computer but not to detriment! Thanks for any suggestions! Kim --------------------------------- Ahhh...imagining that irresistible "new car" smell? Check outnew cars at Yahoo! Autos.

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<Barry> Try these settings for the Fractint .PIF file in WinXP
by Hal Lane 18 Apr '07

18 Apr '07

######################################################### Barry, Try these settings (below) for the Fractint .PIF file (the new file: 'Shortcut to Fractint' that has a 'DOS' icon that is automatically created when you first try to run DOS Fractint) in WinXP. I can't guarantee that these settings will work for you. I have not had the problem that you describe -- perhaps because I have not calculated a fractal that takes long enough to have the problem happen. By the way, your: >'...after rendering the screens other than those with the image are >randomly coloured and usually hardly legible.' sounds like a problem that inserting the line: TEXTSAFE=SAVE into your SSTOOLS.INI file after the [fractint] line might possibly have fixed. See the Fractint docs for further info on SSTOOLS.INI and TEXTSAFE= Please let me know if you still have the "rude message from Windows saying that the pesky MD-DOS application was too slow responding to something and must be cancelled" after using the changes to the .PIF file I give below. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ######################################################### ============= START OF PREVIOUS POST BY HAL LANE ========== jackoftradez said: ------------------ >I simply run it [Fractint] in the XP >command shell, with the properties set to emulate Win95. >Fractals will start to generate, and quite >quickly. But after a few seconds it slows down to an unacceptable >level Thanks for the tip and the warning. I was able to hand modify the Cmd Line & Directory parameters of the Properties window of Fractint's .pif file (see below) & got Fractint running. (I had a DOS path length longer than the allowed maximum of 60 characters.) The .PIF (Program Information File) is named: Shortcut to Fractint.exe [Unfortunately my graphics adapter only supports up to 640 x 480. But I typically use Disk Video to calculate Jim Muth's images anyway, so its not a complete disaster...] I set the Idle Sensitivity in the .pif file's Properties to 'High' and Windows seemed to give more CPU time to Fractint. But with a really time consuming fractal Fractint never uses more than 50% of the Athlon 64 3500+ 2.2GHz CPU as shown in the Task Manager -- even when I raised the priority of the task to 'Real Time' -- the highest setting. The other 50% of the CPU is allocated to the System Idle task -- in other words, the CPU does nothing 1/2 of the time. :-( The full list of changes I made to the default Properties on the various tabs of the Fractint .pif file were: - Idle Sensitivity: High - 256 colors - full screen - emulate Win98 [sic] - disable 'termination warning' - disable 'Visual themes' - disable 'allow screen saver' - disable 'background always suspend' Note: The .pif file is automatically created the first time that a DOS program is run. So, - run the DOS program in a command shell (in a 'DOS' window), Get the DOS window by typing 'cmd' (no quotes) into the: Start > Run 'Open' text box and click 'OK'. - the DOS program will probably not work, - the .pif file will be created, - modify the .pif file's Properties (Right Click on the .pif file), - run the .pif file (which will now run the DOS program correctly) ============= END OF PREVIOUS POST =================== Since you have modified your Shortcut to Fractint .PIF file from the default, I recommend that you: - Rename your current .PIF file, - Run Fractint again to create a new .PIF file with all the parms set to defaults, - Apply the list of changes (above) to the newly created .PIF file, - Run Fractint and your problem fractal, - <ctrl><alt><del> to run the Task Manager, - On the 'Processes' tab watch the percentage of the CPU time that is allocated to Fractint . I also click the column heading 'CPU' to sort all the processes using the most CPU time together at the bottom of the list of processes. If the "must be cancelled" problem still happens, you could try right clicking Fractint in the Task Manager and raising its priority some -- use: 'Set Priority'. I am able to ignore the warning WinXP gives when changing priorities without any problem. Please let me know if you still have the "rude message from Windows saying that the pesky MD-DOS application was too slow responding to something and must be cancelled" after using the changes to the .PIF file I gave above. ######################################################### > >Message: 5 >Date: Tue, 17 Apr 2007 15:42:54 +1000 >From: Barry Smith <barrys(a)grapevine.net.au> >Subject: [Fractint] Problems with XP >To: fractint(a)mailman.xmission.com >Message-ID: <46245E5E.1050505(a)grapevine.net.au> >Content-Type: text/plain; charset="iso-8859-1" > >On 8 April 2006 I wrote: > >'I have a puzzle. I've been using Fractint since 1991 and greatly >appreciate the work of Jim Muth and Paul N Lee, as well of course the >Stone Soup team. > >'My current (my sixth) PC is a Pentium III 800E bought in December 2000 >and came with Windows 98 SE. I recently had to accept the inevitable and >upgrade to Windows 2000 -- not without hassle, ... > >'Secondly, if I render a fractal the process seems to go very slowly >unless I move the mouse, when it speeds up. I find this odd. > >'Third, after rendering the screens other than those with the image are >randomly coloured and usually hardly legible.' > >Paul N. Lee kindly replied, saying, in part: > >'You may also need to play with the various property settings that >can be set for running the application, especially on the MISC and >COMPATIBILITY tabs of the PROPERTIES, such as the IDLE SENSITIVITY.' > >I have now again had to accept the inevitable and upgrade to >Windows XP Home -- again not without hassle, including among many >things eventually having to junk my HP scanner as after 10 hours >work and consulting HP support three times I couldn't get a driver >for it. (The Canon replacement is much better.) > >I was surprised and delighted to find that I could run Fractint much as >before, despite doing a clean install and letting Windows reformat my C >drive as NTFS. I fiddled with the various property settings as Paul N. >Lee suggested. > >However /*there is a problem*./ If I render some fractals that >take a fair time, like Lee H Skinner's 6090168 (thank you for >these), then unless I move the mouse every few minutes, I get a >rude message from Windows saying that the pesky MD-DOS application >was too slow responding to something and must be cancelled. > >How can I avoid this? >-------------------- >Barry W Smith >P O Box 442, Jamison Centre ACT 2614, Australia >Tel. (Home & answering machine) (02) 6251 2119 >International +61 2 6251 2119 >e-mail: barrys(a)grapevine.net.au > >

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FOTD 13-04-07 (Alternate Critical [4])
by Jim Muth 18 Apr '07

18 Apr '07

FOTD -- April 13, 2007 (Rating 4) Fractal visionaries and enthusiasts: So it's the 10th anniversary of the FOTD. It's been the fastest 10 years in recorded history. Luckily, it was mentioned on the lists, for I had totally forgotten it. For the 10th anniversary we have a relatively plain fractal, which rates only a 4. This is slightly-below-average. I named the image "Alternate Critical" because its parent is the fractal that results when yesterday's formula is calculated with Z initialized to the alternate critical value of the function Z^(2.4)-Z^(2.6). A little calculation shows that the two critical points of this function are zero and 0.670176937. The MandAutoCritInZ formula automatically initializes Z to 0.670176937, so it was necessary to enter a value of negative 0.670176937 as the real(p4) parameter in order to re-initialize Z to the second critical point of zero. At the surface, the fractal that results when Z is set to zero is a virtual copy of yesterday's parent fractal, which somewhat resembles the cubic Mandelbrot set rotated 90 degrees. But it is not an exact copy. A quick examination of the surface re- veals subtle differences, which quickly become major differences as one zooms down into the fractal. Today's image shows a scene located near a larger midget on a filament at the western end of the parent. The midget at the center is a curious one indeed. Apparently, it cannot decide whether to be a quadratic midget or something else. If it is trying to be a quadratic midget, it is doing a pretty poor job of it, since the expected powers-of-two series of elements that usually surrounds quadratic midgets is nowhere to be seen. Nothing is visible around the midget but a chaotic assemblage of cut-up pieces of fractal stuff. I can see a series of 2, 5, and 12 elements, which would seem to indicate a power around 2.5 -- the average of 2.4 and 2.6. As for the quality of the image, the less said the better. This is especially true when its inordinate calculation time is considered. I do not know how long the image would have taken on the fractal workhorse machine, a P200, but it took 16 minutes on the P4-2000. I will send it on ahead to Paul at the FOTD web site so that it will be posted ready for viewing as soon as this discussion appears. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I'm out of time right now, but I'll explain the workings of all the MandelbrotMix formulas in tomorrow's discussion. Heavy clouds, showers of rain, and a chilly temperature of 48F 9C kept a damper on things here at Fractal Central on Thursday. The fractal cats' spirits were not dampened however. They managed to pull a stack of newspapers from the shelf and rip them to shreds all over the living room floor. After the mess they made, they hardly deserved their evening treat of tuna and cheddar cheese. My day was average, and as far as I can see, the days will remain average indefinitely. The next FOTD will appear in 24 hours. Until next time, take care, and where did all the numbers go? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alternate_Critical { ; time=0:16:08.61-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=t center-mag=-2.11102026345568200/+0.278394631139739\ 60/7.97647e+009/1/-125/0.000234075480398991675 params=1/2.4/-1/2.6/0/0/-0.670176937/0 float=y maxiter=50000 inside=0 periodicity=10 colors=0006KDALHELLILOMMSQMWROcSN`TMZULXVLVWKTXJQY\ IOZIM_HK`GIaFFbFDcEBVD9_C7e82mC5uF7wJ9zMBhPDiTFjWH\ kZJlbLleNmhPnlRooTvuTrsUorVlqWipXfnYcmZ`l_Yk`VjaSh\ bPgcMfdJeeGdeFcfFbfFbfEagEagE`gE`hD_hDZhDZiCYiCYiC\ XjCXjBWjBWkBVkAUkAUlATlATl9Sm9Sm9Rm9Rm8Qn8Pn8Pn7Oo\ 7Oo7No7Np6Mp6Lp6Lq5Kq5Kq5Jr5Jr4Ir4Is4Hs3Gs3Gt3Ft3F\ t2Eu2Eu2Du1Cv2Du2Eu2Fu3Ft3Gt3Ht4Kz4Uz4cz5mz5hs5cr5\ Zr6Ur6Pr6Oq7Oq7Pq7Qq8Qp8Rp8Sp9Sp9To9Uo9UoAVoAWnAXn\ BXnBYnBZmCZmC_mC`mD`lDalDbl3kfDblNVrYMyXNwXNvWNuWN\ tWOsVOrVOqVOpUPoUPnUPmTPlTQkTQiSQhSQgSRfRReRRdRRcQ\ SbQSaPS`PS_PTZOTYOTWOTVNUUNUTNUSMURMVQMVPLVOLVNLWM\ KWLKWKKWJLWJMVKNVKOULPULQTMRTMRSNSSNTROUROVQPWQPXQ\ PYPQYPQZOR_ORziSzcSbMTcMTdLUdLUeKVfKVgKVhJWiJWzIXz\ UXkHYlHYmGZnGZoF_pF_qE`rE`uDbsEarE`qE`pE_nEZmEZlEY\ kEXjEXhEWgEVfEVeEUdETbETaES`ER_ERZEQXEPWEPVFOUFOSF\ NRFMQFMPFLOFKJQHIPIGNJFMK } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

4 9

Problems with XP
by Barry Smith 18 Apr '07

18 Apr '07

On 8 April 2006 I wrote: 'I have a puzzle. I've been using Fractint since 1991 and greatly appreciate the work of Jim Muth and Paul N Lee, as well of course the Stone Soup team. 'My current (my sixth) PC is a Pentium III 800E bought in December 2000 and came with Windows 98 SE. I recently had to accept the inevitable and upgrade to Windows 2000 -- not without hassle, ... 'Secondly, if I render a fractal the process seems to go very slowly unless I move the mouse, when it speeds up. I find this odd. 'Third, after rendering the screens other than those with the image are randomly coloured and usually hardly legible.' Paul N. Lee kindly replied, saying, in part: 'You may also need to play with the various property settings that can be set for running the application, especially on the MISC and COMPATIBILITY tabs of the PROPERTIES, such as the IDLE SENSITIVITY.' I have now again had to accept the inevitable and upgrade to Windows XP Home -- again not without hassle, including among many things eventually having to junk my HP scanner as after 10 hours work and consulting HP support three times I couldn't get a driver for it. (The Canon replacement is much better.) I was surprised and delighted to find that I could run Fractint much as before, despite doing a clean install and letting Windows reformat my C drive as NTFS. I fiddled with the various property settings as Paul N. Lee suggested. However /*there is a problem*./ If I render some fractals that take a fair time, like Lee H Skinner's 6090168 (thank you for these), then unless I move the mouse every few minutes, I get a rude message from Windows saying that the pesky MD-DOS application was too slow responding to something and must be cancelled. How can I avoid this? -------------------- Barry W Smith P O Box 442, Jamison Centre ACT 2614, Australia Tel. (Home & answering machine) (02) 6251 2119 International +61 2 6251 2119 e-mail: barrys(a)grapevine.net.au

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Re: FOTD 3_15_07
by jackoftradez＠comcast.net 18 Apr '07

18 Apr '07

. Zoom animation into Jim Muth FOTD 3_15_07 is posted: http://www.fractal-animation.net/vid/ehz.zip 640x480, 40 sec, 6.6 MEG A strange formula. Altering the iteration count from the original 5000 to billions makes very little difference in the image. And the terminal mutantbrot never fully resolves (unless it is supposed to look like that). Altering the parameters very slightly makes little difference in the image, altering them more than that creates a blank screen. So a morph animation seems not possible. (But the zoom-in is cool anyway). Cheers JoTz .

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FOTD 18-04-07 (FOTD for April 18, 2007 [7])
by Jim Muth 18 Apr '07

18 Apr '07

FOTD -- April 18, 2007 (Rating 7) Fractal visionaries and enthusiasts: The parent of today's image came about when I subtracted 0.6 parts of Z^(1.618) from 0.6 parts of Z^(-1.4142) and added straight C. This fractal can hardly be called a fractal. It is more of an oversized universe of fractals, consisting of one large and very distorted Mandeloid, a smaller less-distorted Mandeloid, and two prominent but shapeless holes. Scattered around these obvious features lie countless smaller holes of all shapes. Today's image is located in the East Valley of the largest Mandeloid. I didn't dare name today's image. I would not want to admit what it reminds me of. I did rate it at a 7 however, mostly because of the extra snap I added to the color palette. It is really a rather striking image. Perhaps the best feature of the image is its extreme speed. It calculates from the included parameter file in a mere 1 minute and 43 seconds, which is less time than it would take to go online and view the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> No special tricks were used in today's image. It was rendered with the inside set to number zero and the outside set to show the traditional equal-iteration bands. The slightly milder temperature of 48F 9C here at Fractal Central on Tuesday failed to compensate for the continued heavy clouds, brisk winds and occasional sprinkles of rain. The fractal cats had an unexpectedly good day despite the weather. They spent much of their time in the window, watching two doves that were hanging around the porch most all day. My day was quite peaceful for a change; I hope tomorrow can be a repeat. The next FOTD will appear here in 24 hours. Until then, take care, and don't let a stubborn fractal get you down. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr-18_07 { ; time=0:01:42.93--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.22707356992979770/-1.922856229874522\ 00/28103.24/1/25/7.25679238922083414e-011 params=0.6/-1.4142/-0.6/1.618/0/0/0/0 float=y maxiter=1000 inside=0 logmap=22 periodicity=10 colors=000_VwaUvcTueSsgRriQqkPpmOqoNrqMssLtuKuvUvw\ cwxmxzzzGUPDNJAGEEIFHJGKKHNMIQNJTOKWQLZRMaSNdUOgVP\ jWPdSQZPQTMQNIQHFQBCQ69QKLVXWZZXW`XUbYRcYPeZMgZKh_\ Ij_Fl`Dn`Aoa8qa5sb3tb1v`7xZDqjVjukgqfdnbbkY_hUYeQV\ bLS_HQXCNU8LR4MQ8MPBMOENNHNMKNLNOKQOJTOIWOIZNJXNKV\ MLTMMSLNQLOOKPMKQLJRJJSHITFIUEPTAWS6bR2cP5cO8cNAcL\ DcKGcJIcHLcGOcFQ`ESYDUVCWSBYQAZS9`T9aU9cW8dX8eY8gZ\ 8h`7ja7kb7lc7ne6of6qg6rh6sb7kY8dT8XO9QJ9JNBJRDJWGJ\ _IJcKJXguY`s_Vq`PoVOfQNYLMQGLHBL9GVELdJQnOUxTSrXQl\ _OfcNafX_geYhoWixUipYki`lbcmWfnPioIlpFenD_lBTj9Nh7\ Gf5Ad34bE3YO2TVFKaSBhd2aoIVyYjl_z``xbYwcVueStfPshM\ qiJpkGolDliNjfWgdeeanc_w`arYbnWdjTeeQgaOhYUfHZd1Wd\ 9TdGQdOOdVLdaIdiFdpDdwKZqQUlXPgbKbhFYRVMAiAMcGXYLg\ SQbPUZMYVKaQHeMFiICmEAq9Fm4Jj0Ngd7ohIZlTIpb1keEggQ\ cja_lmWny_pxSltKiqCen4bkDajL`iT`ha_giZfqZfnYblXZjW\ VgVReUNcTJaTGZXIX`JUdLShM } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 17-04-07 (Another Visitation [8])
by Jim Muth 17 Apr '07

17 Apr '07

FOTD -- April 17, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies in the same stubby Seahorse Valley of the same parent fractal that produced yesterday's image. But it lies far enough away from the scene of yesterday's action to appear quite different. About 1/10th of the image consists of 'inside' stuff made visible by the 'zmag' inside fill. The rest of the image is made of good old equal-iteration bands. I named today's image "Another Visitation" because it is the second visit in as many days to the same scene. I rated it an 8 because I think it makes quite an interesting screen full. The render time of 12 minutes can be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. I am involved in writing a discussion of how I find good parameters to enter into the MandAutoCritInZ formula. To my surprise, I find that I am not sure how I find some of the good parameters. But I almost always start by setting one of the exponents to an absolute value between 1 and 2. How I find the alternate critical point to enter as the (p4) parameter is another story, which I will explain in detail in the discussion. Finding good parameters for the MandelbrotBC2 formula, which I used in today's FOTD, is a far simpler task. Either I choose an exponent between +1 and +2, or an exponent very close to a positive integer, such as today's 1.99. A value of 2.01 would have created an equally interesting parent fractal, though the fractal would have rotated in the opposite direction as the logarithmic ladder was ascended. A chilly temperature of 43F 6C, heavy clouds, strong winds and occasional showers of mixed rain and snow made conditions less than ideal for those whose business took them outdoors here in Fractal Central country on Monday. A tuna treat that was late made the day less than ideal for the fractal cats also. With the work getting lighter and the fractals getting better, my day was pretty good however. And the best part is that tomorrow looks to be a repeat. Until then, take care, and beware of scam fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Another_Visitation { ; time=0:12:12.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=t center-mag=-0.75491096038879870/-0.055120426362415\ 04/1.768255e+010/1/30/-0.009 params=1.99/0/10/0 float=y maxiter=2500 inside=zmag periodicity=10 colors=000PYpP`wM_yL_zJYzIYzHXzFXzEXzCVzBVz8Tz6Tz5\ Sz3Sz2Sz0Rz0Rz0Pz0Pz0Pz5XzFcpPjd_pTiwIsz6zz0zX8z0J\ z0Lz0My0Ou0Pp0Rl0Sg0Tc0Vd0Xf0Xg0Xi0Xj2Yj3Yl5Ym6Yn8\ _p9_pB_qC_sE_uF`vH`wI`wJ`xLazMazOazPazPaqYYffTVmPJ\ vL8zH0zE0zH0zJ0zL0zO0wR0uS0qV0nY0l_0ia0gd0df0ai0_l\ 0Xm0Tp0Rs0Ou0Lw0Iz0Hz0Cz09y06w03v20u30s60q80p90nB0\ n90j90g90d90a82_85X88T8BR6EO6HL6JI6MF6PC5S95V65Y35\ `03c03f03i03l03n05j06g06c08`08X09T2BP5BM8CIBCFBEBC\ F8BF3AH0AH0ACHF8`6EcBIeEOjISmLXpPasSfvXjz_nzcszfwz\ izzlzznzzqzzuzzvzzszzpyzmvzjsygpvdmsaip__mXPjTHjR6\ mO0000pz0gv0`s0Sp0Lm0Ci05f00cXzpSpmOglJYiFPgBHf66c\ 20a00d00c00a00`2w30m80dC0XH0OL0FP06T00Y`X0VR0RL0MF\ 6IBCC5J80P30V90P50T20Yvzm0Y`PIE0zn0SgIIzECzB8w83q5\ 0l20f_SmSJjLCgE3d60aszzipz`cwRRqIEl80fzO20zg0fd0Fa\ d0i_0gT0fP0dJ0dE0c90a30`0BH00R05y00q00l00fz09u0El0\ Hc0LV82TC9TFHSJOSMVRRaRTi } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: Fractint Mystery (Jonathan Osuch)
by jackoftradez＠comcast.net 16 Apr '07

16 Apr '07

. That seems to be working, that fixed it! I tried the mathtolerance line but I was using the wrong numbers apparently. (maybe that would have worked for my deep zooms as well - but I sure ain't gonna go back and redo them now!) I am a man of my word - a free fractal DVD has your name on it. If interested, email me private with your shipping address. Cheers JoTz .

1 0

FOTD 16-04-07 (Alphabet Fractals [8])
by Jim Muth 16 Apr '07

16 Apr '07

FOTD -- April 16, 2007 (Rating 8) Fractal visionaries and enthusiasts: In today's image we have a glimpse of what happens when a Mandeloid with an exponent of 1.99 is calculated 10 levels up the logarithmic ladder. This exponent is so close to 2 that any midgets in it will be almost perfectly quadratic, yet it is far enough removed from 2 that the fractal it creates rotates and changes as we move up and down the log ladder. In today's case, the parent fractal is a near Mandelbrot set that has rotated about 7 degrees CCW. Most of the details of the M-set are still undisturbed, but the rotation has totally changed the northern branch of Seahorse Valley, where today's scene is located. Instead of coming to a sharp point, the valley has changed into a blunt, rounded stub filled with rampant discontinuities. I have named today's image "Alphabet Fractals" after the prominent letter'X' that dominates the frame. I rated it at an 8 because it is unusual enough to draw attention, and I rather like the contrast between the purple foreground and the brilliant green letter 'X'. And yes, there is a midget at the center of the 'X', a rather attractive midget at that. The calculation time of 3-1/3 minutes is close to average for a FOTD fractal, though I have no idea what the exact FOTD average might be. But the calculation time becomes irrelevant when the finished image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, intermittent rain and an unusually chilly temperature of 43F 6C made Sunday a totally indoor day here at Fractal Central. The fractal cats took the weather in stride, since they are indoor cats every day. In my department, things continue to relax, but such pleasantly slow periods rarely last for any length of time. The next FOTD will appear almost by magic in 24 hours. Until then, take care, and think fractal thoughts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alphabet_Fractals { ; time=0:03:18.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.74318801921539530/+0.003050140052798\ 84/6.698834e+009/1/41.0069304495305431/0.003473070\ 27143493874 params=1.99/0/10/0 float=y maxiter=800 inside=0 outside=tdis periodicity=10 colors=000_kTZjUXiVWhWVgXTfYSeZRd_Qc_P`YOZXNXWMVVM\ SULQTKOSJMQIKPIHOHFNGDMFBLF9KIDJKHJNKJPOJRSJUVJWZJ\ ZaJ`eJbiJelJgpJisJfoLdlNbiO_fQYcRW`TTYVRVWPSYMPZKM\ `IJaKHcMGdOEeQDfRCgTAiV9jX7kZ6lZ5lY6jW7gU8dT9bRA_P\ BYOBVMCTKDQJEOHFLFGJEGHLcJSwKZwLmwMzzNzzQzzTzzVzzY\ wm_whbwcdr_gmXihUlcRnZOqULsPIvKGxFIrAJl6Li8NfAPcCR\ `ETYGVWIXTKZQM`NObKQdISfFUhCWj9Yl6_m4Zk5Xi5Wg6Ue7S\ c8Ra8P_9OYAMWBKUBJSCHQDGODHPIIPMIQQJQVKQZKRbLRfMRk\ MSoNSsNSwzdluajp_hlYggWecUd_SgXRiTPkQOmNNoJLqGKsCI\ u9Hw6Gy8FuAFrCFoEFkGFhIFeKFaMFZOFWQFSSFPUFMWFIYFF_\ FCaGEbGFcGGdGHfHJgHKhHLiHMkIOlIPmIQnIRpHSqHSrHTsHT\ tHUuHUiJVZKWOLXDMYCN`BObAOd9Pf8Ph7Qj6Rm5Ro4Sq3Ss2T\ u1Tw5Rt9PqDNnHLkLJhPHeTFbXD_`BXd9Uh7Rk6OmBRnFTpKVq\ OXsTZtX`vabwedxifyWiyIly5ow7ku9hsAeqCaoDZmFWkGSiIP\ hJMeLNbMO_NPXOQUPRSRSPSTMTUJUVGVWEWXGXXHYXIZXKZXL_\ XM`XO`XPaXepOdoPcnQamR`lS } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Mandelbrot -- Automatic Critical value of Initial Z - 10 pars
by Lee H. Skinner 16 Apr '07

16 Apr '07

Oops - I just sent this to the Fracdev list by error instead of the Fractint list. Here are 10 very worthy pars to keep your computer busy overnight and to inspire amazement and wonder among fractaleers using Jim's new MandAutoCritInZ formula. Enjoy! - Lee Skinner 60427017 { ; ; t= 1:30:31.18 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandautocritinz function=recip passes=1 center-mag=+1.18254963298048600/-2.22358386451535600/\ 366936.8/1/10.0000000024142093/-3.54932052498702078e-\ 009 params=5/-1.321/0.5/-13.21/-1.454/525/0/0 float=y maxiter=50000 inside=0 logmap=348 symmetry=none periodicity=10 colors=000``eZ_dYZcWXa<4>SPSSOQRMO<3>NGGLEEKCC<16>gPI\ iQJjRJ<3>qVMsWNuXOwZP<7>xnVxpWyrX<3>zz`<14>zNFzKDzHC<\ 3>y75y54y32z00<41>PJDOKDNKEMLELLEKMF<26>Q_FR_FR`FR`FR\ aF<16>ZdRZeS_eT_eU`eU`eV_eV<12>cjqckrcktdlvdlxemz<5>o\ szptzruz<3>yyz<4>suurutqtrosqnrpmro<3>gojfniemhcluckf\ nmtakhchWahlZZZ<2>idamgcnigoklpmpqpu<3>mkoljnjhl<5>aa\ f } 60207015 { ; ; t= 0:18:54.36 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandautocritinz function=recip passes=1 center-mag=+1.09255218523953500/-0.35913441647085300/\ 232.8614/1/27.5000000000000462/-6.61172505633800256e-\ 013 params=-12/-1.6/-9/-10/0/1e+100/0/0 float=y maxiter=600 inside=bof61 logmap=3 symmetry=none periodicity=10 colors=000Bdr<8>XjsZktalt<3>kouqpv<24>NJIMHGLGE<2>HC9\ FA7FB7<14>ASDATEAUE9VF9WF8YG<11>KYGLYGMYGNYGPZH<25>mg\ CnhCohB<2>riBsjAtj8<2>wk0<10>QSIMQJJOL<3>6GS<28>YCZZC\ Z_CZ<45>w3jw3jx3kx3ky3kz2lx3lv5lu6l<14>TYtR_tPau<2>Jg\ vHiwGiw<9>9dr } 60405040 { ; ; t= 1:28:46.12 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandautocritinz function=recip passes=1 center-mag=-10.77334989743952000/-1.59580711631815200\ /241500.7/1/7.50000000093813934/2.20781767867883616e-\ 010 params=-1/-1/-0.1/-10/0/1e+100/0/0 float=y maxiter=1200 inside=bof61 symmetry=none periodicity=10 colors=000AAG<2>0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<\ 3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d\ 8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<\ 6>UXAW`BOU0`gE<2>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi\ _5fc0ce7_<3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ\ 8KM8KJ8<2>I88H44G00W21M52<3>ZF7aI8eLAhMBiODjQF<3>qeBr\ iAtm9vq8xu7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8\ Rx7S<3>z5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<\ 3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<8>F9L } 60503162 { ; ; t= 0:24:58.20 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. 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Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandautocritinz function=recip passes=1 center-mag=+0.43334177816797740/-0.75026192141609260/\ 2.94494e+011/1/127.497791864569166/0.0006134077132760\ 3183 params=-1/1/2/-2/0/0/0/0 float=y maxiter=10000 inside=0 logmap=1446 symmetry=none periodicity=10 colors=000zm3<4>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>\ z5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0\ Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<\ 2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>\ S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8X\ a<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<2>\ KJ5NMzPQ8<3>YcC`fDcjFenGhrI<3>UnXRm_NlcJkgFfpAazDYxHT\ uz00PJo<2>_5fc0ce7_jFRoNItV9y`0zzzzr0zz1zzC<2>zzzvxuH\ etnsj<3>ZjPVgJReEMb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6\ ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<2>zq3 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l }

1 0

FOTD 15-04-07 (Festive Occasion [7])
by Jim Muth 15 Apr '07

15 Apr '07

FOTD -- April 15, 2007 (Rating 7) Fractal visionaries and enthusiasts: The parent fractal of today's image came about when I subtracted 3 parts of Z^(1.1) from 3 parts of (Z). This parent fractal is quite oversized and needs an outzoom before it fits onto the screen. It looks like a Mandelbrot set rotated 180 degrees, with its East Valley pinched off. Some might see it as a lead plumb. Today's image is located in the angular, star-like debris on the southeast shoreline of the main bud of its parent. I named it "Festive Occasion" and rated it at a 7. Much of the effect is due to the colors, and when rating the image I decided to reward myself for the extra effort. It's really a rather pleasant image to look at. If it has a flaw, that flaw would have to be the rather slow calculation time of 14 minutes. But this small inconvenience can be quickly eliminated by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the already-calculated image there. A sunny morning gave way to increasing afternoon clouds here at Fractal Central on Saturday. The high temperature of 55F 13C was not too bad, but it should be in the 60's F (around 18C) at this time of year. Fractal cats do not concern themselves with weather however. Their concern is playing and eating. The duo did a lot of both on Saturday. My day was average; more of the same is expected on Sunday. The next FOTD will appear in 24 hours. Until then, take care, and infinity is as close as your computer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Festive_Occasion { ; time=0:14:05.57--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+14.70364422143395000/-4.94679004184322\ 800/2.234198e+007/1/50/4.12871608165832349e-005 params=3/1/-3/1.1/0/1500/0/0 float=y maxiter=3200 inside=0 logmap=225 periodicity=10 colors=000vUDqUDpSDmTFjSDgRCdQBaPAZO9WN8TM6QL5NK4K\ J3II2GI2FG1EE1DC1CA1A81861641421201001001000000000\ 0000000000500600701802903A04E15H26K37N47P58R59T6AV\ 7AX8BZ9C`9DbADdBEfCFhDGjDKmEPpFUsGZvHcxEZwHWtJPpLZ\ mONjQOfSPcUQ_XRXZSU`TRbUOeVLgWIiXFkVEhTDfSCcQCaPBZ\ NAXMAUK9SI8PH8NF7KE6IC6FB5D94A84876A77B79C7AD7BE7D\ G6EH6GI6HJ6IK6KM6LN6NO5OP5PQ5RS5ST5UU5VV5WW7US8SOA\ QKBOGDMCEK8GI4HH1LL2OO2SS2VV2ZZ2aa2dd3hh3kk3oo3rr3\ uu3VhV4Xv8VtCUsGSqJRpNPnROmUMkYLjaJhdIghGelFdoDbsC\ awA_z9ZwB_uD`rEapGbnIbkJciLdgNedOfbQf_RgYThWViTXjR\ _jPbkMdlKgmHilIgmJdmK`nKZnKXoKUoKSpKQpKPqMPqOPqQOr\ SOrSNsQLsOKtMJtKHuOGuSAvWFu_KpbPlbTgcYbdbZegUdnSek\ QfiPggNgeMhcLiaJi_IjYHkWFkUElWCmYBm_Ana8oc7oe6pg4q\ i3qk2pm3oo4nq5ns5mu6lw7lx8ky8jz9jzAizAhzBhzCgzDfzD\ fzEezFdzGdzGczHbzIbzIczKczMdzPdzRezTezVfzYfz_gzagz\ dhzfhzhizkizmazCczCdzCfzD } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Re: Fractint Mystery
by jackoftradez＠comcast.net 14 Apr '07

14 Apr '07

. Anyone who has seen my deep zoom viddies has noticed the occasional jerk frames. I do not know what causes this, but it seems that fractint reads the PAR file wrong and scrambles the numbers for some reason. Thus with off-parameters or coordinates the image(s) are a bit distorted or off center. Now, attempting a zoom animation of Muth FOTD 3_15_07 I have encountered this again, only the error occurs in the magnification number - the first time I have seen this! I need someone to verify that I am not hallucinating. Here are PARS for 3 images in the sequence: '''''''''''''''''''''''''''''''''''''''''''START PAR'''''''''''''''''''''''''''''''''''''''''''''''''''''''''' 782.0000 { ; reset=2004 type=formula formulafile=allinone.frm formulaname=mandelbrotbc2 passes=1 center-mag=-0.63982851388294900/+1.17265143805666000/1.35148269130032e+12 params=1.5/0/85/0 float=y maxiter=5000 inside=0 periodicity=10 } 783.0000 { ; reset=2004 type=formula formulafile=allinone.frm formulaname=mandelbrotbc2 passes=1 center-mag=-0.63982851388294900/+1.17265143805666000/1.37763961568162e+12 params=1.5/0/85/0 float=y maxiter=5000 inside=0 periodicity=10 } 784.0000 { ; reset=2004 type=formula formulafile=allinone.frm formulaname=mandelbrotbc2 passes=1 center-mag=-0.63982851388294900/+1.17265143805666000/1.40426842987625e+12 params=1.5/0/85/0 float=y maxiter=5000 inside=0 periodicity=10 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z) > r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z| < a } ''''''''''''''''''''''''''''''''END PAR'''''''''''''''''''''''''''''''''''''' You clearly see the mag factors are 1.35e+12, 1.37e+12, and 1.40e+12 respectively. The first and last render correctly, but the middle one ends up with a mag factor of 6.88e11 ! Why is this and where does the number come from? It is totally reproduceable too! You dont have to render the entire image (they take awhile). Just a couple lines then hit TAB key to see the numbers. A clue might be that this only occurs in the last third of the sequence - beyond e12. There are so many messed up frames an otherwize awesome zoom is not now good for posting! Whoever solves the mystery gets a free DVD! Cheers JoTz .

2 1

FOTD 14-04-07 (Merging Dry Valleys [7])
by Jim Muth 14 Apr '07

14 Apr '07

FOTD -- April 14, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image mixes Z^(1.95) with Z^(2.05) before adding C, making the overall power an average of 2. The parent fractal created by this formula resembles a perturbed Mandelbrot set. And today's scene is located on the edge of what appears to be the remains of Seahorse Valley. The things in this valley are like nothing found in the real Seahorse Valley however. The peanut-shaped hole at the center of the image lies at the center of what I call a dry valley. Dry valleys are areas that start out with 2-way symmetry, giving the impression that a quadratic midget lies at the center, but they come to dead ends. Today's dry valley is unusual in that a peanut-shaped hole lies at its center. The peanut shape is actually two circular holes which have partially merged. The edge of the hole is actually a discontinuity, making a greater maxiter useless. No more detail can be found inside the peanut hole regardless of how high the maxiter is raised. I named the image "Merging Dry Valley", which is a full descrip- tion of what we are looking at. I rated it at an above-average 7. Unfortunately, the calculation time is a rather slow 14-1/2 minutes. But this wait may be bypassed by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the pre-rendered image there. In my collection I have 6 MandelbrotMix type formulas. 'MandelbrotMix1' has long been discarded. It simply combines 2 powers of Z and always initializes Z to zero. It makes no effort to find a critical starting point. 'MandelbrotMix2' appears to be identical to the 'MandAutoCritInZ', which I just wrote. It automatically initializes Z to a critical value and allows initial Z to be manually reset to a second critical value. If I had checked this formula carefully, I would have had no reason to write the 'MandAutoCritInZ' formula. 'MandelbrotMix3' mixes 4 powers of Z and allows Z to be initialized manually to a critical value that has been determined by calculation. 'MandelbrotMix3a' is the same as 'MandelbrotMix3' with the added ability to change the escape radius. 'MandelbrotMix4' is the workhorse formula, which automatically calculates a critical value of the entered formula and initializes Z to this value. 'MandAutoCritInZ', the newest formula, takes the 'MandelbrotMix4' formula and adds the ability to manually initialize Z to a second critical point, which must be calculated separately. I also have a 'JuliaMix1' formula, which calculates the Julia sets of the fractals crated by the MandelbrotMix family. This formula can draw some very attractive fractals. It has been grossly under-used. And finally, there is a formula named 'ParabolicMix3', which graphically and rather laboriously determines the critical values of entered formulas. Heavy clouds, blustery winds, occasional sprinkles of cold rain and a temperature of 43F 6C kept spring at bay here at Fractal Central on Friday. The two fractal cats sat on their shelf by the sunniest window in vain. They never got the warm sun they were waiting for. They consoled themselves with an extra treat of tuna in the evening. My day was notably average. Saturday will likely be the same. The next FOTD will appear in 24 hours. Until then, take care, and walk with your head in the stars and your feet on a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Merging_Dry_Valley { ; time=0:14:25.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.36696528477454960/+0.086040053843335\ 20/6.461328e+010/1/11.5/-9.95185134476730959e-005 params=1/1.95/1/2.05/0/0/0/0 float=y maxiter=1800 inside=0 logmap=220 periodicity=10 colors=000KGRKHSKITKJUKKVKLWKMXKNYLOZLP_LQ`LRaLSbL\ TcLUdIVfKWeLXeMYeNZeO_dP`dQadRbdSccUdcVecWfcXgbYhb\ Zhb_ib`jaakabladmaen`fo`gp`hq`ir_js_kt_lu_mt_ls`lr\ `lq`loalmalkaliblhblgbkfckeckdckcdkbdkadk`ek_ekZej\ YfjXfjWfjVgjUgjTgjShjRhjQhlPkkOijNhiMghLfgKefKdeLc\ dMbcNacN`bO_aPZ`QY_RXZSVYTUXUTWVSWVRVWQUXPTYOSZNR_\ MQ`LPaKObJPdJObINaIN`IM_IMZILYIKXHKWHJVHJUHITHHSHH\ RGGQGGPGFOGENGEMGDLGDKFCJFBIFBHFAGFAFF9EE8DE8CE7BE\ 7AE69E57C68D68E68E68F78F78G78G78H88I88I88J88J98K98\ K98L98MA8MA8NA8NA8OB8OB8PB8QB8QC8RC8RC8SC8Stjlvklx\ llwmmvnmuomtpmsqnrrnqsnqtnpuoovonwomxolypkzpjzpjzp\ iMmhLkgLhfKfeJcdJacIZbIXaHU`GS_GPZFNYEKXEIWDFWDDYH\ H_LK`ONbSQcVTeZWfaZheaihdklglojnsmryrozpmznjzmhzke\ ziczh`zfZzeWzcUzaRz`PzZMzXKzWHzUEzRFzTFzUFzWFzXFzZ\ Fz_FzaGzbGzdGzeGzgGzhGzjGzkGzlIzhJzeizOkzNlzMnzLoz\ KqzJrzJlzHfzG`zFVzDPzCJzB } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FW: [philofractal] Jim Muth's FOTD Anniversary !!
by Hal Lane 12 Apr '07

12 Apr '07

Congratulations on a great Fractint decade, Jim! - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Paul N. Lee [mailto:Paul.N.Lee@Worldnet.att.net] >Sent: Thursday, April 12, 2007 6:42 PM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] Jim Muth's FOTD Anniversary !! > > >Greetings!! > > >Well, today was the start of the eleventh year of Jim's posting the FOTD >to the fractal related discussion email lists. > >He has completed ten full years (though not all days within that period >were able to have their own FOTD). But the volume of images is around >3,000 and the main web page has been accessed 279,640 times (averaging >around 76.5 times per day). > >The 5 most popular months have been: > > February, 2005 http://home.att.net/~Paul.N.Lee/FotD/FotD_05-02.html > January, 1999 http://home.att.net/~Paul.N.Lee/FotD/FotD_99-01.html > April, 1999 http://home.att.net/~Paul.N.Lee/FotD/FotD_99-04.html > May, 1999 http://home.att.net/~Paul.N.Lee/FotD/FotD_99-05.html > December, 2001 http://home.att.net/~Paul.N.Lee/FotD/FotD_01-12.html > >The 5 most popular days have been (not counting the anniversary date): > > May 31, 2001 http://home.att.net/~fractals_2/FotD_01-05-31.html > August 30, 2000 http://home.att.net/~fractals_2/FotD_00-08-30.html > November 10, 1999 http://home.att.net/~fractals_1/FotD_99-11-10.html > January 29, 2002 http://home.att.net/~fractals_2/FotD_02-01-29.html > May 26, 2000 http://home.att.net/~fractals_2/FotD_00-05-26.html > > >Sincerely, >P.N.L. >------------------------------------------------- >http://home.att.net/~Paul.N.Lee/PNL_Fractals.html >http://www.Nahee.com/Fractals/ >--------------------------------------------------------------------- -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.446 / Virus Database: 269.2.0/757 - Release Date: 4/11/07 5:14 PM

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FOTD 12-04-07 (Spider-Web Arms [8])
by Jim Muth 12 Apr '07

12 Apr '07

FOTD -- April 12, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today we introduce a new formula, which will replace the old MandelbrotMix4 formula. The new formula is named MandAutoCritInZ. This is short for "Mandelbrot -- Automatic Critical value of Initial Z". And this is exactly what the old M-Mix4 formula did. The new formula adds an additional variable parameter to the old formula, which allows an extra adjustment to initial Z. This is necessary because some functions of the type handled by the new formula have two critical points, and the formula calculates only one of them. A drawback of the new formula is that it can not initialize Z to the second critical point automatically. To do this, both critical points must be manually calculated and the difference entered as the adjustment to Z. This may be done graphically or mathematically. The graphic method is far more fun. Sometimes both critical points produce identical fractals; sometimes the identical fractals are mirror images of each other; sometimes the two critical points produce totally different fractals. Finding out is much of the fun of the new formula. Today's image was created by subtracting Z^(2.6) from Z^(2.4) and adding C. I named it "Spider Web Arms" because the pattern in the four angular arms around the central midget reminds me of spider webs. The spider-webs are actually open-inside areas decorated by the 'fmod' inside fill. I rather like the image, so I rated it at an 8. Today's image is a slow one, with a calculation time of over 43 minutes. But the wait may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completely rendered image is or soon will be posted for instant viewing. In tomorrow's FOTD I'll discuss all the MandelbrotMix formulas and what they are supposed to do. A sunny mild morning turned into a cloudy mild afternoon here at Fractal Central on Wednesday. The temperature reached 52F 11C, which is still well below normal. Rain moved in at nightfall, but by then the fractal cats had finished their evening treats and were more concerned with washing each other's faces and chasing each other up and down the hallway. My day was actually not too unpleasant. And the above-average fractal for today shows it. The next fractal, hopefully also above average, will appear here in 24 hours. Until then, take care, and don't get lost in an ocean of iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spider-Web_Arms { ; time=0:43:47.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=t center-mag=-2.14487395538943600/+0.299702679142293\ 80/4.74766e+008/1/25/9.6356e-006 float=y logmap=228 params=1/2.4/-1/2.6/0/0/0/0 maxiter=5000 inside=fmod proximity=0.05 periodicity=10 colors=0000009L0BO0CR0DU0EY0G`0Hc0If0Jh0Pj0VkA_nKe\ pUksfpxmuzszzztwzotjjqiemh`hgWcfRZeMUdHPcCKbAOd8Te\ 7Yf5bg4gh2li1qj2lh3gf3bd4Yb4Ua5P_5KY6FW6BV9GSCLPEP\ MHUJKZGMbEQ`JTZOWYTZWYbUbeTghRlkPqnOvIJPJKNJKMJKLJ\ LKJLJJLHJMGJMFJMEJMDNUMR`VK4IKAMKIQKMSKPXKS_KVcKYg\ K`gKchKehKhiKkjKnjKqkKskSeCUbBV`BWZBYXBZVB_SBaQBbO\ BcMBeKBfHBgFBiDBjBBk9Bl7BkAEkDHjFJjIMiKPiNRhPUhSXg\ VZgXaf_dfafediefkY_wXYoWXhVWaUUUTTNSSGQSJPSLOSNNSP\ LSSKSUJSWISYGS`FSbESdDSfImYHnVHoTHpRHpPGqNGrLGsIGs\ GFtEFuCFvAFv8ZuCNcFQmIUkMYhP`eSdbVh`ZkYaoVdrTgqVfw\ XfcZfp`foafocfzzfngfnhfmdgm`hmXilTjlPklLllHmhJkeLj\ bMi_OhXQgURfRTeOVdLWcIYbFZaLV`RR_WNZaJYfFXaD_XBaSA\ dO8fJ7iE5kA4mFK`K_OOnBJhCEbD9YEATNBOWARTATRAWPAYMA\ `KAbI9eF9gD9jB9l89o69q49s28r28q28q28p28o28o28n28m2\ 8m2Dn6HnALnE`s9ox4nhHnUUmFfm0sl4pl7nkAkkDijGgjKdiN\ biQ_hTYhWWg_TgbRfeOfhM8Vb } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 11-04-07 (Odd Fractal Out [6])
by Jim Muth 11 Apr '07

11 Apr '07

FOTD -- April 11, 2007 (Rating 6) Fractal visionaries and enthusiasts: I'll soon be posting a discussion about how I choose good parameters for the MandelbrotMix4 formula. I had hoped to have it ready today, but the truth is I am not sure exactly how I find my parameters. I would have assumed that the exponents in today's formula are too close together to do much of interest, but I entered them in the M-Mix4 formula anyway. Today's parameters define a formula that combines Z^(1.95) with Z^(2.05) and adds straight C. I chose the exponents because the average of 1.95 and 2.05 is 2, and since Z^2+C is the classic Mandelbrot formula, I wondered if a formula where the average of the exponents is 2 would have anything special to offer. As it turned out nothing unusual appeared. The parent fractal resembles one of the perturbed Mandelbrot sets, with a very non- critical look about it that makes the search for interior midgets almost useless. But even though there are no midgets in the parent fractal, there are many interesting nooks and crannies, with much to explore. Today's image is located very near the negative X-axis of the parent fractal, in a blunt valley centered on the axis and pointing east. I named it "Odd Fractal Out", since it has no midgets hidden within it and I could think of nothing better. The rating of a 6 might be a bit liberal, but the image really is rather striking, and the calculation time of 9-1/2 minutes is marginally within reason. Those do not calculate Fractint parameter files may view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for sheer enjoyment. I have updated the MandelbrotMix4 formula, and starting tomorrow I'll retire the old workhorse and switch to the new version for most of my fractals. The newer version will be able to draw the fractals that result when Z is initialized to a second critical point of the formula. Heavy clouds and continued chilly temperatures in the 40's F (around 8C) made Tuesday far less than ideal here at Fractal Central. The fractal cats must have agreed, for they were unusually sulky most of the day. It took extra tuna to raise their spirits. My day was actually quite pleasant, at least compared to the way things have been for the past couple months. And tomorrow looks to be a repeat. I already have tomorrow's FOTD fractal, and it's a pretty good one, so check back here in 24 hours for a fractal surprise. Until then, take care, and search for those patterns in the void. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Odd_Fractal_Out { ; time=0:09:25.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.68373061187701090/-0.000464846373378\ 43/3556049 params=1/1.95/1/2.05/0/0 float=y maxiter=1500 inside=0 periodicity=10 colors=000WaSVaTTaURaVQ`WO`XN`YL`ZJ`_I``G`aXL_OTaF\ `b3fa5gb7gc9hdBheDifFifHigIjhKjiMkjOkkQkkSllUlmVmn\ XmoZnp`npbnqdorfosgptipukpumqvoqwqrxsrytryrqwqpvop\ unotlnsknrimqhlpflnekmcjlbjk`ij_hiYhhXggVffUfdSecR\ dbPdaOc`Mb_LbZJaYJc_IaXH`VG_TFYREXPDWMCVKBTIASG9RE\ 8QB7O96N75M52K14L35L56L77L88MA9MCAMEBMFCMHDNJENLFN\ MGNOHOQIOSJOTKOVLOXMPZNP_OPaPPcQQeRQfSQhTQjUQlVRmW\ RoXRqYRsbSw`RuZRtYRsWQrVQqTQpSQoQPnOPmNPlLOkKOjIOi\ HOhQQkYRnfSpnTswVvvUuuTuuTttStsSssRsrRrrQrqPqpPqpO\ poOpnNonNomMnmLnlLmkKmkKljJllKmjJliJkhIjgIifIheHgd\ HfcHebGdaGc`Gb_FaZF`YF_XEZWEYVDXUDWTDVSCURCTQCSPBR\ OBQNBPMAOLANKAMJ9LI9KH9KJBLLCMNENPFORHPSIQUJRWLSYM\ T_OUaPVbQWdSXfTYhVZjW_jUZkX`l_bmbdndfoghpjjqmlrons\ rpturuxtvzvtstrmsqgqoapmWnlQmjKkiEjlGenI`qJXsLSuMO\ vLMwKJxJHRV`OS_LPZKO_IMYHLWGJUFISEHQDFOCEM2AIBDLKF\ NhbJfbKebLcbMbaN`aOZaPYaQ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 10-04-07 (Galactic Circles [5])
by Jim Muth 10 Apr '07

10 Apr '07

FOTD -- April 10, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's image takes us into the parent fractal that results when the formula Z^(1.25)+C is iterated 220 levels up the logarithmic ladder. This parent fractal is a near shapeless thing with one large main bay and only hints of higher-period buds. It is so shapeless that it must be studied carefully before its Mandeloid characteristics become evident. Today's image is located in the circle-filled debris piled along the western shore of the main bay of its parent. I named the image "Galactic Circles" because it is filled with tight little spiral circles that almost resemble tiny satellite galaxies. But it takes more than a horde of circles to make a fractal worth a high rating, and I could find nothing extra in today's image -- thus the rating of 5. The render time of 4-3/4 minutes is relatively fast as fractals go. And even better, the finished image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It has been asked how I fing good parameters to enter into the MandelbrotMix4 formula. In tomorrow's FOTD, we'll start discus- sing this question. Monday was another raw chilly day here at Fractal Central. The sky was cloudy, and the temperature, which should have been near 59F 15C, never made it above 43F 6C. The only thing mis- sing was the snow flurries. The fractal cats didn't mind the conditions one bit. They stayed cozy warm by the heat. My day was actually close to normal for a change. And with any luck at all, things will stay this way. The next FOTD will appear in 24 hours. Until then, take care, and where there's fractals there's hope. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Galactic_Circles { ; time=0:04:41.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.49534375705044250/-0.526598078447610\ 50/5502.968/1/142.5/-1.55795903955535664e-010 params=1.25/0/220/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=10 colors=000OjJOkLPlMQmNQnPRoQSpRSqSYhWc`ZiSbnKelJdj\ IdhIcfHcdHbbGbaGb_FaYFaWE`UE`SD_RD_PC_NCZLBZJBYHAY\ GAYOGbVLgaQkhVpo_ttPcsQarR`qRZpSYoSWnTVmTUlUSkURjV\ PiVOhWNgXLfXKeYIdYHcZFbZEa_D`_B_`AZ`8Ya7Ya6Z_8ZY9Z\ WA_UB_SC_QD`OF`MG`LHaJIaHJaFKbDMbBNb9Oc7Pc5Qc4RZFV\ UQZP`aKkeGvhFrjFokElmEinDfpDcqC`sCYtBVvBSwEVtHXrJZ\ oM`mPcjRehUgfXicZlaanZdkXflVgmXgmZgk`gibggdgefhchh\ ajh_lhYnhWphUrhStgUmfVgeXadYWc_Qb`KabE`c8_d248C4AD\ 4BE4CF4EGWHHaMIbRKcWLe`MhcNkfOngQqhRtiSvkTwlUxmWyn\ XzpYzqZzr_zsYzuWzvUzwUzxUzyUzzZzzczzfzzizzlzzozzrz\ zuzzzxzztzzpzyksxgowcju_esV`qRWoNRmIMpEHrACu67wC7s\ I7oN7lT7mZ7mc7mi7mo7mt7m9WrBTwCRwEPwFMwHKwIIrKFoLD\ lNBiO9fPBcPDcQFZQGURIPRKKRMJSNLSPNTRPTTRTUSUVRUVRV\ WQVWQVWPWXPWXOWXOXYNXYNYZMYZMYZLZ_LZ_KZ_K_`J_`J_`J\ b_OdZSgYWzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzj\ zzjzzjzzjzzjzzjzzjzzjzzjz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 09-04-07 (FOTD for April 09, 2007 [No Rating])
by Jim Muth 09 Apr '07

09 Apr '07

FOTD -- April 09, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image shows the type of fractal I was fascinated with about 15 years ago. It is a scene on the northern shoreline of the Mandelbrot set, just west of the large northern bud. But it does not resemble this area as we know it. (To see a more familiar view of the same scene, change both parameters to zero and recalculate the image.) The strange appearance indicates that the image is a scene in a perturbed M-set. The fossilized buds that form the ghostly remains of the 'true' M-set are plainly visible as background shadows, but they are partly obscured by the surging low-iteration 'perturbed' stuff that is swiftly overwhelming the scene. If the parameters are changed ever so slightly, the purplish foreground stuff will shift position dramatically. But if the fossil buds in the back- ground are visible at all, they will be in the same position. The background buds do not change position when the starting point is changed because in perturbed sets, regardless of where points begin their travels, if they do not escape first, they will eventually settle into the same orbits as points that start at zero. There is much more to tell about the fossil buds visible in today's image, but that will have to wait until a slower day. For now, I must point out that today's scene is neither named nor rated. And its calculation time is just under 15 minutes. But as always, the completed image is or soon will be available for quick viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather continued most un-springlike here at Fractal Central on Easter Sunday, with cloudy skies, temperatures hovering around 36F 2C, and flurries of snow throughout the day. The fractal cats noted the snowflakes, but were more interested in seeing how much turkey they could beg. They were courteous at first, but when Cassie leaped onto the table and started helping herself to the turkey, they were banned from the dining room for the duration. Guests don't appreciate cats of any variety snatching slices of turkey from their plates. I managed to get through the whole dinner affair somehow. And now that it is behind me, I can look forward to things returning to normal in the upcoming week. The next grand FOTD will appear in 24 hours. Check back then to enjoy or ignore it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_09_97 { ; time=0:14:53.51--SF5 on a P200 reset=2004 type=mandel passes=t center-mag=-0.2117\ 8372638/+0.64346029754/1504.395/1/-8.5/3.63894e-012 params=0.75/-0.75 float=y maxiter=325000 bailout=5 inside=255 logmap=62 periodicity=10 colors=00002ci3x03ch4w05cg5v06cf7v07cf8u08ce9t0Acd\ As0BccCs0CcbDr0EcbEq0FcaFq0Gc`Hp0Hc_Io0JcZJn0KcZLn\ 0LcZMm0McYNl0OcYOk0PcXQk0QcYRj0ScXSi0TcXTi0UcWVh0V\ cWWg0XcWXf0YcVZf0ZcU_e0_cW_e0_cS_b0__O_X0_WL_S0_PH\ _M0_JD_G0_D9_A0_89`A9aBAaCAbDAcEBcFBdGBeHCeICfKCgL\ DgMDhNEhOEiPEjQFjRFkSFlUGlVGmWGnXHnYHoZIo_Ip`IqaJq\ cJrdJseKsfKtgKuhLuiLvjLvkMujNtiNshOsgOrfPqePqdQpcQ\ obRoaRn`Sm_TmZTlYUkXUkWVjVViUWhTWhSXgRXfQYfPZeOZdN\ _dM_cL`bK`bJaaIa`Hb`Gb_FcZEbZFcZEcZEcZEcZEcZEcZEcZ\ EcZEcZEcZEdZEdZEdZEdZEdZEdZEdZEdZEdZEdZEdZEeZEeZEe\ ZEeZEeZEeZEeZEeZEeZEeZEfZEfZEfZEfZEfZEfZEfZEfZEfZE\ fZEfZEg_Eg`EgaEgbEgcEgdEgeEgfEggEghEgiEhjDikDilDjm\ EjnFkoGkpHlqIlrJmsKmtLnuMnvNowOowPpwQqwRqwSrwTrwUs\ wVswWtwXtwYuwZuw_vw`vwawwbxwcwxexxgxxixxkxymyyoyyq\ yyryzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzz00I } END PARAMETER FILE=========================================

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Re: FOTD 06 Apr 07
by Jim Muth 08 Apr '07

08 Apr '07

At 10:07 AM 4/8/07 -0700, you wrote: >Jim, > >what is the plural? Hast? The plural of 'hath' is 'have'. 'Hast', as used in 'hast thou' means 'do you have . . .?' >- Bud > >----- Original Message ----- >From: "David M Fisher" <sunfish(a)intercom.net> >To: "Fractint and General Fractals Discussion" ><fractint(a)mailman.xmission.com> >Sent: Saturday, April 07, 2007 16:43 >Subject: [Fractint] Re: FOTD 06 Apr 07 > > >Jim, > Just finished checking the list, and read your comment for 06 Apr FOTD. ><Hath> is singular and <numbers> is plural. Either drop the <s> on numbers >( which in context would not make much sense) or use the plural <have>. I >know it's old English, but that only makes the precedent more correct. > >David M Fisher sunfish(a)intercom.net > > >---------------------------------------------------------------------------- >---- > > >> _______________________________________________ >> Fractint mailing list >> Fractint(a)mailman.xmission.com >> http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >> > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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Re: FOTD 06 Apr 07
by David M Fisher 08 Apr '07

08 Apr '07

Jim, Just finished checking the list, and read your comment for 06 Apr FOTD. <Hath> is singular and <numbers> is plural. Either drop the <s> on numbers ( which in context would not make much sense) or use the plural <have>. I know it's old English, but that only makes the precedent more correct. David M Fisher sunfish(a)intercom.net

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Re: FOTD 06 Apr 07
by Jim Muth 08 Apr '07

08 Apr '07

At 07:43 PM 4/7/07 -0400, David Fisher wrote: >Jim, >Just finished checking the list, and read your >comment for 06 Apr FOTD. <Hath> is singular and ><numbers> is plural. Either drop the <s> on >numbers or use the plural <have>. I know it's >old English, but that only makes the precedent >more correct. Dave: I checked the dictionary and found that you are right and 'hath' is wrong. I'll have to note this as another of the many little inaccuracies that have appeared in the FOTD over the past 10 years. Jim Muth

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FOTD 08-04-07 (FOTD for April 08, 2007 [No Rating])
by Jim Muth 08 Apr '07

08 Apr '07

FOTD -- April 08, 2007 (No Rating) Fractal visionaries and enthusiasts: My apologies for a late Easter Sunday FOTD. In fact, today's FOTD is both brief and late. But Easter will soon pass, the heavy graphic work is already finished, and with any luck at all, things will be back in their accustomed routine by Tuesday. The fractal for today takes us to the Z^(1.25) Mandeloid as it appears 121 levels up the logarithmic spiral. At this lofty level, the fractal resembles little more than a shapeless blob with a few hints of equally-shapeless buds. The active little midget, which appears to be exploding near the center of today's image, is located just inland of the ragged bud on the northeast shoreline of the main bay of its shapeless parent fractal. With almost no time to devote to fine-tuning today's image, I could not give it a name or rating. But luckily the image is a fast one, rendering in only 2-1/3 minutes on my worn-out 10-year- old computer, which is well past the point of no return. So if the image disappoints, little time and effort will have been wasted. It is never a wasted effort however to visit the FOTD web page at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished FOTD images there. Saturday brought cold temperatures, some sunshine, heavy clouds and snow squalls to Fractal Central. The fractal cats interrup- ted their usual activities long enough to watch the snow fall, then, satisfied that all was well, they returned to their fun and games. My day was not too busy with serious work, but it was far from slow. Against my advice, fractal lady invited some friends to Easter dinner on Sunday, and I was selected to purchase the supplies. Oh well, unlike the FOTD, Easter comes only once a year. BTW, the next FOTD will appear in 24 hours. Until then, take care, and search for the meaning of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_08_07 { ; time=0:02:21.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.7104895602\ 1611750/+0.34294555698040560/333.8528/1/5/2.061385\ 78429104768e-012 params=1.25/0/121/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000X`CXbFWeIWgLWiOVlRVnUUqXUs_UuaVr`Vp`Wm`W\ k`Xh`Xf_Yc_Ya_YZ_ZX_ZUZ_SZ_PZ`NZ`KZ`IZZNWYSUXXSWaP\ UfNTkLSpIRuGQzEPuDPpDPlDOgCObCOZCNUBNPBNLBMGAMBAM7\ ANHDOQGPZJQgMQpPUnWXlaYf_Z`Y_VW_PUaQWcQXeQYgQZiQ_f\ Q`cRa`RbYRc_RdaRebRfaSbaT_`UX`VU`VRI5qFDoCKn9Sm6Zl\ 3fk0mj7gfDacKX_QRXXMTbGQhBNN0yV5jaAXhFJoK5E9jH9nK9\ qN9tQ9wF5l52a97WDCQGGKKLENP9LO6lx3gr4cm4_g4Vb4RX4N\ S4KAEJBDJCDJCCJDCJEBJEBJFAJFAJG9JH9JH8JI8JJ7JJ7JK6\ JK6JL5JM5JM4JN4sG42XK3WJ4WI5VH6VH6UG7UF8TE9TE9SDAS\ CBSCCRBDRADQ9EQ9FP8GP7GO6HO6IN5JN40gI2eH3dG4cF5bE6\ aE7`D8ZC9YBAXBBWACV9DU8ES7FR7GQ6HP5IO4M4FL7DLABKDA\ KF8sIoqKmpMknOilQgjSehUcgVbeX`cZZa`X_bVZdTXfRVhPTj\ NSkMTdOTYQTRSTLUSMSRMQQMPQNNPNLONKNOINOGMOFLPDLPBK\ PAJQ8IQ6IQ5HR3GR1GR0NZKTfbSe`SdZRcYRbWQaVQ`TP_SP_Q\ PZPOYNLM6OXMNWKNVJMUHMTGMTELSDLRBKQAKP8JO7JN5wzZrv\ VnrSjnPfjMbfJZT6ZT3YW6YY9 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 07-04-07 (FOTD for April 07, 2007 [6])
by Jim Muth 07 Apr '07

07 Apr '07

FOTD -- April 07, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image came about when I combined 4 negative parts of Z^(-1.25) with 0.2 negative parts of Z^(-6.67) and added (1/C). This mixture produced an oversized parent fractal consisting of 4 large bays and a very prominent 'fan'. Many baby Mandelbrot sets lie along the outer edge of this 'fan', with today's image lying deep in the East Valley of the largest of these midgets. Due to the computer problem here at F.C. I had little time to work on today's image, which means I could give it no name. I did give the colors a bit of attention however, which justifies the rating of a 6. I have some bad news and some good news. The bad news is that the image takes 37 minutes to calculate on my 10-year-old P200 machine; the good news is that the completed image may be viewed almost instantly on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An unseasonable temperature of 37F 3C and flurries of snow made Good Friday an appropriately somber day here at Fractal Central. But the main FC computer is repaired, reconnected, and running as good as new. The problem was what we suspected -- a block of memory had worked loose. Now all I must do is make up the time that was lost while the fast machine was in the shop. I have also decided that it might be time to pick up a new computer and switch the aging 2300mhz machine to fractal work. The fractal cats do not concern themselves with computers. Their main concern is to keep as warm as possible, which they did quite well most all day. The next FOTD will be posted in 24 hours. Until then, take care, and become one with the infinite, whatever that means. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_07_07 { ; time=0:37:01.08--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+3.34629969641900300/-1.386021735753816\ 00/1.114633e+010/1/-137.5/-6.09703004501929713e-005 params=-4/-1.25/-0.2/-6.67/0/0 float=y maxiter=7200 inside=0 periodicity=10 colors=000aiP`iO_iNZiMp`JsfFleLfeQ`emVe_OedIeiCen6\ es0jx1fs1go1gk1hg2hc2im2iW2jm2kO3km3lG3lm3m83m47k6\ Bi7Eh9IfALeCPcDSbFW`G_ZIbYJfWLiVMmTOpSPjOSdKVZGVTC\ `N8YO7aO7XO6`P6WP6_P5VP5_Q5UQ4ZQ4TR4YR3SQ3XP3QP6TO\ 8OOBQOELNHOMJJMLKKOGIRFGUCIXAL_8Ob5Rd5UgAXhF_jKblP\ enUhoZkqcnrhqtmturwwvzxzrcknPjjOigOidOiaNiZNiWNhTM\ hQMhNMhKLhHLgELgBKg8Kg5KgBLaHLWNLRTLLZLFdLAbM9`M8Z\ N8YN7WO7UO6TO6OIJJCWF7gE7gICfLHeGDwHEtHErHFpHFnIGl\ IGjIHgIHeJIcJIaJJ_JJYLLXMMWOOWPPVQRUSSUTUTVVSWXSXY\ RZ_Q_`QabPbcOceOefNfhMhiMikLjlLhkKgkJejJdjIbjIaiH_\ iHZhGYhGWhFVgFTgESfEQfDPfDOeCMeCLdBJdBIdAGcAFc99YA\ Ec9Ih8Nm7Rv6Rr7Ro7Rk7Rh7Rd7Ra7RY8RV8RR8RO8RK8OD9RH\ 8UK7WN7ZR6`U5cX5e_4hc3jf3mi2ol25bDJUKWMRhEXiFWiGVj\ HUjITkJSkJRlLSlMTmNUmOUnPVnQWoRWoSXpTYpUYpVZqX_qY_\ rZ`r_as`asabtbctccubduaeu`es_drZcqYbpXaoW`rZ_mUZlV\ YjSXaEOhQVgPUfOTeNSdMRcKQ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-04-07 (FOTD for April 06, 2007 [6])
by Jim Muth 06 Apr '07

06 Apr '07

FOTD -- April 06, 2007 (Rating 6) Fractal visionaries and enthusiasts: With the rush continuing and the fastest computer out of action, I had little time to devote to fractal diversions, so I gave today's image no fancy name. I did rate it at a 6 however, which is not too bad for such a quick image. The rating was earned by a bit of extra attention I gave to the coloring. Toward the upper right corner of yesterday's 'Ultimate Parent' fractal there is a small dot. When enlarged, this dot becomes an entire satellite fractal universe. Today's image lies within this tiny dot. The render time of under 3-1/2 minutes is well within reason. I rendered the image with the passes set to 't'. The passes=g option does the job in under 2 minutes, but it misses much of the fine detail filling the open areas. The passes=1 option catches a few more inside dots than the passes=t, but takes well over 5 minutes to finish. All this 'passes=' stuff may be ignored however by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. A cloudy and unseasonably cold day with temperatures around 34F +1C here at Fractal Central on Thursday did not disturb the dynamic duo of fractal cats. They did take notice when a few rather heavy snow squalls passed over, but soon returned to their places by the heat. They fully enjoyed their evening treat of tuna and sharp cheddar. My day was once again busy. The main computer is in the shop for a few days with a nervous breakdown, and the back-up compu- ter, which is notably slower than the sick computer, is not quite up to the task of taking over. (The repairman suspects something has become disconnected.) I keep hoping to get caught up, but something always seems to come up to slow things down. One of these days I'll actually have no work waiting to be done, but it will not be today or tomorrow. One thing that will be finished before tomorrow however is the next FOTD. So be sure to check in then to see what the numbers hath wrought. Until that moment of glory, take care, and don't lose your way in the fractal wilderness. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_06_07 { ; time=0:03:24.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=t center-mag=-19.025348370831/+138.878186938705/1009\ 148/1/133.5/-4.5e-005 params=-5/-1.2/-0.75/-4.5/0/0 float=y maxiter=1000 inside=0 periodicity=10 colors=000p`ZqVarPdsKftEiu8lu3nr5op7pn9qkAqiCrgEse\ GtbHt`JuZLvXNwUOwSQxQSyOTyLXvI_sFbpDenAik7lh4oe2rc\ 3sa4s_5sZ6sX7sW8sU9tTAtRBtQCtODtNEtLFtKJuLMuLPuLSv\ LVvLYvL`wLcwLfwLixLlxLoxLryLuyLxyLnwRevXWubNshDrn4\ qsAnnGkjMieSfaYcXcaTiZOnXKlYOjZRi_Ug`XTczdbcTczagz\ VdzZizXfyWjzZhxbkzfjwjlxnmwpkutnwrjsumtrhroipqgmee\ kldic`ffaeQXb___ISYUXWAOTMVR2KP4PL5TI7XF8`CJVDUPEd\ JFoDGH`HGbIFcJzdKzfLzgMzhNziOzzPzzQzzRzzSzpTzqU3rV\ 7nUBkUFhTJdTNaSRZSVWSZSRbPRfMQjIQnFPrCPu9PoDRjGSeK\ U`NVWQWRUYMXZH``Cca7fbAbdC_eEWfHTgJPiLMjOIkQFlSCmT\ FgUIaVKWWNRXQLYSFZV9ZX4_Z7__9_`B_aD_cF_dI_eK_fM_hO\ _iQ_jT_kV_mX_nZ_o`_pbaehcVneLsfNpgOmgPjhRgiSeiTbjU\ _kWXkXUlYSmZPm`MnaJobGocEeYGWSIMMJCGL2BM5EN7HNAKNC\ NOFQOHTOKWPMZPO`PNcUNfZNicNlhNomNrrNtwPrvRqvTpuUnu\ WmtYlt_ks`isbhrdgrffqgdqicpkbplapi`lg`ie`fc`ca____\ XX_UV_RTZNRZKPZHNZEnkUoeX } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 05-04-07 (Ultimate Parent [?])
by Jim Muth 05 Apr '07

05 Apr '07

FOTD -- April 05, 2007 (Rating ?) Fractal visionaries and enthusiasts: Wednesday was one of those days when one annoying little thing after another seemed to happen. To start things off, the main computer went dead, then just when I thought the work rush had ended, a new rush job came in. Luckily, the backup machine runs fine and job is small enough to be finished by noon Thursday, but all this once again put a damper on my fractal ambitions. Today's super-fast image is not a scene in a parent fractal, it is the parent fractal itself. And it is one of the most unusual fractals I have yet seen. I spent several minutes trying to decide what kind of rating to give it before I gave up in frus- tration and rated it a question mark. The name I gave it -- "Ultimate Parent" is an accurate description. The generating formula mixes 5 negative parts of Z^(-1.2) with 3/4 of one negative part of Z^(-4.5) and adds (1/C). The calcu- lation time is a speedy 1-1/2 minutes on my oldest machine. For even greater convenience, the completed GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Today's image is not the last we shall see of this parent fractal. It is simply chock full of interesting midgets, some of which will appear as FOTD fractals over the next several days. Clouds and a chilly rain made Wednesday quite unpleasant here at Fractal Central. The temperature of 48F 9C brought out the winter coats, and also brought the cats to the heat. My day was once again busier than I would have liked, but have faith, the end of the rush is near. The next FOTD will appear in 24 hours. Until then, take care of where you wander in the land of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ultimate_Parent { ; time=0:01:32.50--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=30.8076/31.159/0.01122345/1/-90/3.8e-016 params=-5/-1.2/-0.75/-4.5/0/0 float=y maxiter=1400 inside=0 periodicity=10 colors=000WAUVSmUSmT0USAURSmQSmP0UOAUNSmMSmL0UKAUJ\ SmISmH0UGAUFSmESmD0UCAUBSmUSmA0UZTgJTgfTa`UWmUQrUK\ zUEyXFy_FxbGxeGwhGwkHvnHvpHpaRkN_dYOYgCSq1Rp2Ro3Rn\ 4Qm5Ql5Qk6Pj7Pi8Pi84orClqJjpRhoYfnddmlbls`kzZjjakW\ clGem1gm6fiAffEfcJf`NeXReUVeR_eOceLgdHldEpdBtd8xd5\ uc8rcBobElbHibKfaNdaQa`TZ`WW`ZT_aQ_dO_gQYfSWfUUfWS\ fYQe_OeaMecKeeIdgGdiEdkDdjGejIejLeiNeiPeiSeiUehXfh\ Zfh`fhcfgefghfgjfglfdkdajbZi`XhZUgXRfVOeTMeSKcVJbX\ I`_H_aGZdFXfEWiDVkCTnBSpARs9Pu8Ox7Nz8Pu8Qp8Rl8Sg9T\ c9UZ9VU9WQAXLAYHAZCA_8CZCDZFEYIFYLHXOIXRJWUKWXT_Qa\ bJieDnnXloOjpEhp5TmBEkGHhFJfFLdFOaEQ_ESYEUWEXXFZYG\ aZGc_He`IhaIjbJlcJifCgh6jiAmjEojIhlNbnSXpXRraLtfFv\ k9xpCriEmbGgWIbPKXIMSBNRAOR9PQ8QQ7RR8SS8TS8UT8VU9V\ U9WV9XW9YWAZXAZYAXs2_YA`ZAa_Bb_Bb`BcaBdaCebCfcCfcC\ gdDheDieDjfDWGtXHrXIqYJoYKnZLlZMk_Nj_Nh`Og`PeaQdaR\ bbSabT`cUZcUYdVWdWVeXUeYS } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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re: FOTD 04-04-07 (Eructing Borborygmi [5])
by Lee H. Skinner 04 Apr '07

04 Apr '07

A couple of MandelbrotMix4 midgets from today's parent image 60404007 { ; ; t= 0:25:25.33 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=recip passes=1 center-mag=+1.08112221311577300/-1.67675428989526900/\ 358.1359/1/119.999999999999787/2.80275802566620769e-0\ 13 params=-4/-1.3/-0.4/-7.5/0/0 float=y maxiter=5000 inside=0 logmap=34 symmetry=none periodicity=10 colors=000ffy<3>hhyihyiiy<2>kjy<3>`kyYkyVlySlyPmx<11>\ lqxnrxprxrsxtsxwtw<2>yuwzvvyuuxuu<3>qfZocUn_O<2>hO6<3\ >VKASJBOICLHDMGFHGF<37>Q_FR_FR`FR`FRaF<16>ZdRZeS_eT_e\ U`eU`eV<9>KfaIgbGgc<3>9hf<3>QjiVjjZkj<3>pnn<3>sqqtrrs\ rr<15>chmbgmafl`fl_elYdk<3>chmeingjnhkojlplmp<3>hgjgf\ hfdfdbd<4>`YZ_WYZVXYUVXTUWRT<5>QKLPJJOHI<2>LEEKCCKDE<\ 8>DNXCOZBP`<3>7Uh6Wm<3>2`u1aw0cz<7>NczQczTcz<3>ddz<3>\ ffy } 60404011 { ; ; t= 0:19:29.80 on a P4 2Gh at ; 1600x1200 Image Copyright 2007 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=recip passes=1 center-mag=+1.08297215653864800/-1.68521733042141700/\ 3081949/1/27.4999999607459955/1.07790274206376324e-00\ 8 params=-4/-1.3/-0.4/-7.5/0/0 float=y maxiter=5000 inside=0 logmap=151 symmetry=none periodicity=10 colors=000eey<12>VjyUjyTky<3>Pmx<11>lqxnrxprxrsxtsxwt\ w<2>yuwzvvyuuxuu<3>qfZocUn_O<2>hO6<3>VKASJBOICLHDMGFH\ GF<37>Q_FR_FR`FR`FRaF<16>ZdRZeS_eT_eU`eU`eV<9>KfaIgbG\ gc<3>9hf<3>QjiVjjZkj<3>pnn<3>sqqtrrsrr<15>chmbgmafl`f\ l_elYdk<3>chmeingjnhkojlplmp<3>hgjgfhfdfdbd<4>`YZ_WYZ\ VXYUVXTUWRT<5>QKLPJJOHI<2>LEEKCCKDE<8>DNXCOZBP`<3>7Uh\ 6Wm<3>2`u1aw0cz<7>NczQczTcz<3>ddzdeyeey } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l }

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FOTD 04-04-07 (Eructing Borborygmi [5])
by Jim Muth 04 Apr '07

04 Apr '07

FOTD -- April 04, 07 (Rating 5) Fractal visionaries and enthusiasts: I'll not divulge the meaning of the name I gave today's image. If I did, I would regret it. But anyone with a good dictionary will soon see why the image earned its name. It is a scene in the parent fractal that results when 4 negative parts of Z^(-1.3) are combined with 0.4 negative part of Z^(-7.5) and (1/C) is added. This parent fractal is another of those indescribable things that appear when negative exponents are used to create fractals. Today's image shows the surroundings of a midget located near the edge of the 'fan' of its parent fractal. All things considered, today's image rates an average 5. The name "Eructing Borborygmi" is best left unexplained. The render time of 1-3/4 minutes is brief enough for even the busiest frac- talist to have time for. And as has been the case for almost ten years, the finished GIF image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A midsummer-like day in early spring made everyone happy includ- ing the fractal cats here at Fractal Central on Tuesday. The high temperature reached 75F 24C, while the light winds and strong sun made it feel even warmer. My day was still busy, but the backlog is just about cleared away. Unless I find something else that needs to be done, as has happened the past few days, things will be back to normal by midday on Wednesday. The next FOTD will appear in 24 hours. Until then, take care, and I know all the answers, but what are the questions? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= EructingBorborygmi { ; time=0:01:44.69--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=3.73671/0.0351555/41.76382/1/122.5/\ -1.740361e-011 params=-4/-1.3/-0.4/-7.5/0/0 float=y maxiter=600 inside=0 logmap=21 periodicity=10 colors=000zz`zxVzzUztRzwUxr0usPsn0pnKli0jiFfd4dd6`\ Z9Z_BTT0TU0NT0PQ0GG0BB0000000000NK0dXGshBzs6zz0zz1\ zz6zzBzwGzuNssRnpVfnZ`ldVhhNflGdp9bs6du6dw4dx4dz1d\ z1dz0dz0dz0dz0dz0dz0dz0fz0fz0fz0fz0fz0fz0fz0fz0fz0\ fz0fz0fz0lz0qz0up0zb1zN4z64z06z09z0Bz0Dz0Gz1Iz6Kx9\ NwBPuGRqITpNVnPXjRZhV`fX`dZ`qXshhzZszPzzIz`Bz64zGD\ zNNzTTzZ`qfhdlnRquBwz0jw9XsKKqTz`szZnzXhzVdzVZzTVz\ RPzRKz`GzjBzq6zz1zz0zz0wz0zz0zz0zz6zzBzzIzzNzzRzuT\ zfXuPZl4bd0df0Xh6RhIKjRDl`6lh0nq0nx0VzV9zz0zz0zz0z\ z0qz1bz4Nzzwzzzzwzzqzllxnfsp`lpVfqPZqITsBNsGdzIuzK\ zzNzzKszINzRPzXPzbPzjPzpPzuPzzPzwIzsDzp9zl1zh0zd0z\ `0zR6zIPz6dz0szIdzZRznBzxKzzRzR0zX9zbIzfRzlZzpfzwZ\ zzRzzIzz9zz0zz0zzGzZ`zbTzdNzfGzh9zj1zl0zn0zs0zx4zz\ BzzIzzPzzVzzNzlDzX4zZNzZ`z`pz`zzbzzbzzbzzjzzpzzwzz\ zzzzzzzzzzzzzzzz1zz0zzPzVlz0zzlzzzzzzqzzIzz0zz1zTN\ z0dz4`zPZzdXzuVzGIz99z41z } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 03-04-07 (FOTD for April 03, 2007 [6])
by Jim Muth 03 Apr '07

03 Apr '07

FOTD -- April 03, 2007 (Rating 6) Fractal visionaries and enthusiasts: I had intended on a much longer discussion for today, but there was simply too much stuff that had fallen behind during the rush of the past two months, and needed to be put straight. But fear not fractal fans, lazy days with lots of fractal talk are very near. To produce the parent of today's fractal I combined 100 parts of an unlikely Z^(-0.01) with 0.1 part of Z^2 and added C. The resulting fractal is shaped somewhat like a boomerang with a Mandelbrot set at its southern end. Today's image is located in a spiral inside a hole near the large period-2 bud of this M-set. After some consideration I decided to rate today's image at a 6, though I gave it no special name. The render time of over 26 minutes is admittedly slow, but the wait may be avoided by viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A surprisingly warm day graced Fractal Central on Monday, when the temperature reached an unexpected high of 79F 26C, with ample sunshine. The fractal cats took full advantage of the conditions by spending most of the afternoon stretched on their sunniest window shelf. My day was occupied with catching up on things I let fall behind while tied up with the load of work. The next FOTD will appear in 24 hours. Until then, take care and don't lose track of the lost fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_03_07 { ; time=0:26:21.75--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-101.171917500498/-8.165493815612592/\ 1.064e+007/1/-80/-0.000143863120004056322 params=100/-0.01/0.1/2/0/525 float=y maxiter=3000 inside=0 logmap=583 periodicity=10 colors=000XpOWoQVnSUmUTlWSkYRj_Qi`Ph_OgYNfWMeULdSK\ cQJbOBXOO_I`aDmd8yg3xlIxqWxvixzwxutxoqxinxckxYhxSe\ xMcLn9YjKjfUvccf_fRWiCSl9b_7lO5vC8oEBhGEaHHVJKOLNH\ Mc`Dss4gb7WMAL5CKKNJZYJmhPjfUheZfdcdciaan_`sY_xWZl\ Tc`RhPPlQOmRNnRNoSMlTLiTLfUKdUJaVJZVIXWHUWHRXGOXFM\ YFJYEGZDEZDB_C8_C6`F8`H9`JB`MC`OE`QF`TH`VI`XK`_L`e\ P`aN`cOIUyKVvLWsNXpOYmQZjR_gT`eUabWb_XcXZdU_eRc2ib\ 4gb6fb8ebAdbCcbEbaGaaI`aK_aMZaOYaQXaSW`UV`WU`YT`_S\ `aR`cQfD4eF6eH7dJ9dLAdNBcPDcREbTGbVHbXIaZKa`L`bN`d\ O7XwDZpJ`iPbbVdWUXsVYqVYpVZnWZmW_kW_jX_hX`gX`eYad_\ abbbaeb_hbZkcXndWqfUtgTwiRzjQG_EH_FI`GJaGKbHLcHMdI\ NeIOeJPeJQeKReKSeLTeLUeMVeMWeNXeNYeOZeO_ePsnbrmaqm\ `pl`ol_ol_nkZmkYlkYkjXkjXjiWiiWhiVghUghUfhTegTdgSc\ fRcfRbfQaeQ`ePqUrmUljVffW`cXVrYupZso_qn`omamlbkkci\ jdgieehgcgiafk_enYdqWctUbwSazQHzrJzoLzlNziPzfRzcTz\ `VzYXzVZzSozimzflzdjzbiz` } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 02-04-07 (FOTD for April 02, 2007 [No Rating])
by Jim Muth 02 Apr '07

02 Apr '07

FOTD -- April 02, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image is one of those that owes almost its entire worth to the coloring. This is always a risky thing to do because different monitors display the same colors differently, and only a slight shift in color balance will spoil the effect of today's image. For this reason I decided to let it go un-named and un- rated. The parent fractal is an indescribable thing, (as are almost all fractals), created by combining 7 negative parts of Z^(-1.4142) with -0.7 negative part of Z^(-7.7) and then adding (1/C). The reciprocal of C turns the fractal right side out. As do many fractals in this range, this parent fractal has a prominent 'fan'. Today's image is located near an odd-shaped hole at the eastern edge of the 'fan'. The image's calculation time is under 3-1/2 minutes on my tired machine, which is a reasonable time for a reasonable image. And if reason does not work, the completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Fractal Central weather proved disappointing on Sunday. The heavy clouds, light rain and temperature of 46F 8C made things much too unpleasant for a Palm Sunday. The fractal cats must have agreed, for as far as I know, they passed the entire day without as much as a glance out the window. In my department, the pile of work that has been plaguing me for the past two months is finally finished. This means better fractals (if such things are possible) in the days to come. If the fractals don't get better, at least the discussions will get longer. The next FOTD will appear in 24 hours. Until then, take care, and we don't know what we don't know. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_02_07 { ; time=0:03:24.71--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+1.70772411165322400/+0.072704959182236\ 64/36617.56/1/90/3.88578058618804789e-016 params=-7/-1.4142/-0.7/-7.7/0/0 float=y maxiter=800 inside=0 outside=tdis logmap=72 periodicity=10 colors=000pzMhzRbsVYmYTgaOadJVhEPk9Jo4Dr7HsAKtCNuF\ QuHTvKWwNZwPaxSdyUgyXgsZgm`ggbgaegWggQigKkgFldImbK\ n`MoYOpWQqUSrSUsPXtNZuL`vJbwGdxEfyChzAjxBkwBkuCktC\ ksDkqDkpEkoEkmEklFkjFkiGkhGkfHkeHkdHkgMliRllWmn`mk\ aiiaffacda`aaX_aUXaRVaOSaLQaHNaELaBIa8Ga5Hb7Hb8IbA\ IbBJcDJcEJcGKcHKdJLdKLdMLdNMcMObLPaLL_NIYPFWRCUT9S\ V6QW9YaBefDmlFtqHrmIpiJneKmbLkZMiVNgROfOPdKQbGR`CS\ _9W`8Z`8a`7ea7ha6ka6ob5rb5ub5qoOpjNoeMo`LnWKmRJlMI\ kHHkCGlFFmIFmLFnOEnREoUEpXDp_DqbDqeCrhCrjCsfCscCs`\ CsYCtVCtSCtOCtLCuICuFCuCCu9Cp7Il5Oh4Td2Z`1ciLZiL_i\ L`iLanQbrUcvYdzaeuZbpX`lVZgTXbRUZPSUMQQKOLILGGJCEH\ 7CF3AD8BGDBIIBKNBMSBPXBRaBTfBVkBYpB_uBaQq3On8MkCKh\ HJeLHbQF_UEXYHYZKZ_M_`P``RaaUbbWccZcc`ddceeeffhgfj\ hgmihoihVYRXeIZm9_t0`q4`n8`lCaiFagJadNbaQb_UbXYbV`\ YU_UU_QU_LUZHUZDUZqaPdUHSN9FG2HF3JE4LE4ND5PD6RC6SC\ 7UB8WA8YA9_9Aa9Ac8Bd8BfRH } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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<Paddy>Clarification to: "DOS Fractint under Windows Vista/XP?"
by Hal Lane 02 Apr '07

02 Apr '07

######################################################### In my previous email about running DOS Fractint under WinXP I said: > >In WinXP hitting <alt><enter> while in a full screen >session of DOS Fractint puts Fractint 'onto the Task Bar' >and shows *no* small window of the program on the >desktop. This behavior of WinXP is what makes me >think that your setting 'run in window' may be a problem. > >Clicking on 'Fractint' on the Task Bar returns to the >full screen session of Fractint. This description of the behavior of DOS Fractint under WinXP is true when Fractint is displaying an *image*. However, when I use <alt><enter> when Fractint is showing a *text* screen a windowed session of Fractint *does* appear on the Windows XP desktop. When Fractint is calculating or displaying an *image* and you use <alt><enter> and Fractint appears only 'on the Task Bar' it is allocated *no* CPU time. If Fractint's *text* window is calculating a fractal in a 'Disk Video Mode' and you use <alt><enter>, a windowed session of Fractint appears on the Windows XP desktop and it is allocated about 50% of the CPU on my machine as shown by the Task Manager. Fractint calculating a fractal in a 'Disk Video Mode' in the text window updates the progress of the calculation showing, for example: "Status: Writing line 327" - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Hal Lane [mailto:hallane@earthlink.net] >Sent: Saturday, March 31, 2007 9:46 AM >To: padski(a)padski.com; philofractal(a)lists.fractalus.com; Fractint_msg >Subject: RE: <Paddy> DOS Fractint under Windows Vista? > > >Paddy Duncan said: >------------------------------ >>Just tried it on Vista. >>Vista says "This system does not support fullscreen mode" >>Tried setting to Win95 compatibility mode, setting 'run in >>window', all with same result...:-( > >Paddy, > Your setting 'run in window' might possibly be a problem in >getting DOS Fractint to run in Vista. I start Fractint set to 'Full >Screen.' To switch between Fractint's full screen session and >a windowed session of Fractint I use the key combination ><alt><enter>. > >In WinXP hitting <alt><enter> while in a full screen >session of DOS Fractint puts Fractint 'onto the Task Bar' >and shows *no* small window of the program on the >desktop. This behavior of WinXP is what makes me >think that your setting 'run in window' may be a problem. > >Clicking on 'Fractint' on the Task Bar returns to the >full screen session of Fractint. > >(Note that under Win98 I can only use <alt><enter> successfully >when Fractint is showing a *text* screen.) > > >Why don't you try a set of adjustments to the .PIF file ('Shortcut >to Fractint' file) that is *known* to work in WinXP? Below is a set >that works in WinXP for me. > >Hopefully Vista will have the same adjustments available to >make to the .PIF ('Shortcut') file. > > >You should first delete and recreate your current >'Shortcut to Fractint' file since my list of changes to the 'Shortcut' >file only list the changes I made away from the original Windows >default settings -- and you have already made several changes >away from the original Windows default settings. > >The following is copied from a previous post to I made to [Philofractal] >and [Fractint]: > >> >>The full list of changes I made to the default Properties >>on the various tabs of the Fractint .pif ('Shortcut') file >>were: >> >> - Idle Sensitivity: Low [Note: I had previously set 'High.' Both work, >> but 'Low' seems to be somewhat faster.] >> - 256 colors >> - full screen >> - emulate Win98 [sic] >> - disable 'termination warning' >> - disable 'Visual themes' >> - disable 'allow screen saver' >> - disable 'background always suspend' >> >>Note: The .pif file is automatically created the first >>time that a DOS program is run. So, >> - run the DOS program in a command shell (in a 'DOS' window), >> Get the DOS window by typing 'cmd' (no quotes) into the: >> Start > Run 'Open' text box and click 'OK'. >> - the DOS program will probably not work, >> - the .pif file will be created, >> - modify the .pif file's Properties (Right Click on the >> .pif file), >> - run the .pif file (which will now run the DOS program >> correctly in Windows XP) > > - Hal Lane > >####################### ># hallane(a)earthlink.net <mailto:hallane@earthlink.net> # >####################### > >>-----Original Message----- >>From: Paddy Duncan [mailto:padski@padski.com] >>Sent: Saturday, March 31, 2007 4:39 AM >>To: philofractal(a)lists.fractalus.com >>Subject: RE: [philofractal] How do YOU run DOS Fractint under Windows XP? >> >>Just tried it on Vista. >>Vista says "This system does not support fullscreen mode" >>Tried setting to Win95 compatibility mode, setting 'run in >>window', all with >>same result...:-( >> >> >> jackoftradez(a)comcast.net wrote: >--------------------------------------------------- >>> BTW, has anyone tried fractint in VISTA yet? I suspect it wont run at >>> all; I hear even some old windows programs dont run. >---------- ######################################################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.413 / Virus Database: 268.18.23/740 - Release Date: 3/30/07

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FOTD 01-04-07 (FOTD for April 01, 2007 [No Rating])
by Jim Muth 01 Apr '07

01 Apr '07

FOTD -- April 01, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image came about when I combined 5 negative parts of Z^(-1.25) with 1/5 negative part of Z^(-6.67) and added (1/C). This combination creates a grossly oversized parent fractal with a very prominent 'fan'. Today's scene is located on the eastern edge of this fan. I gave the image no name and no rating, but it's really not such a bad image, even though its calculation takes 9-1/2 minutes to complete. Perhaps the best way to enjoy today's fractal is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished GIF image has been posted or soon will be posted for maximum enjoyment. On the surface, the parent fractal of today's image appears unusually rich. It might have a few more FOTD's in it. I'll probably return to it a few more times before casting it into the fractal dumpster. The weather was uneventful here at Fractal Central on Saturday. The sky was partly cloudy, while the temperature reached a high of 59F 15C. The fractal cats, who sometimes are minor demons, were on their best behavior. But I am not deceived. Such angelic deportment can not possibly last long. My day was still busy, wrapping up the loose ends of the rush. By Monday the rush will be behind me, and I'll be able to move on to other things such as more advanced fractals. The next FOTD will appear in 24 hours. Until then, take care, and perhaps existence itself is the greatest paradox. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_01_07 { ; time=0:09:28.57--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+3.15682350192756700/+0.046423291210308\ 28/1.306731e+008/1/-107.5/-6.37119098461230715e-005 params=-5/-1.25/-0.2/-6.67/0/0 float=y maxiter=2700 inside=0 logmap=323 periodicity=10 colors=00000M00L22K44J66I88HAAGCCFEEEGGDIICKKBMMAO\ O9QQ8TS7VW7ZY7cb6hb6mj5ri5vq4zrwzubzrwyq7xm8wk9uhA\ seBqcCo`DkZEgWFcUGbRHbPIc5EdEUb8Sa3QMTcNeEOoYPypXe\ ecMVWTNO_FGf7kOsa`eSmSJyEEivH`jKT_NKPty7ll9d`BXODw\ s4eY91nrDVY`sQYhNVYKSNHIS8LMANHCd6CX9DE0MI4JM8GSDq\ RCgQCYPCOTx9R_C5x`AkVF_PKOJ6xfDgXJSNDDWHCQLCKisYbd\ RWQKJxSywQlgM`SI`ZJrzFc`E`y5V`Abi7WYBzUb6xfzkZG_SL\ `LMYiOTU5iGFTF_hEUSErb_cPPwHPeEJgq5to9dWCjStbBmYCa\ TCQlPU`IM0cVDQMLshMh`NYTONLIACKBDMBDOCEefrXRY91PF5\ LK9H8gzD_mHSaLKQYFJTDGSZ3RT6QN9PHC9KqHGYMOaNKUOGMP\ 28yj9lZB`NDDWasZ7G7qcIPZGLUEHtmzdVa6GeBFZGESLDLjKg\ bHYWEOGt4qnrlPqYEr2HLEEHo7Uf9OYBJwMdeORPPMPQKPRIPS\ GJT8LUANVCRWGlXCfYD`ZDV_Eo`mhadabWVcNXd38emRfkQg_P\ iP8kPEmLKoH2qEAsEIuE1we7xZDySJzLyzZozTfzOYzJCzqGzg\ JzYMzO5zBCzCJzDizLEzaIzUMzMNz7Oz9OzBPzDZzgWz_UzTRz\ LJzyLziNzUczgWzTOzJPzHFzX } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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