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FOTD 01-03-03 (Ring of Fire [5])
by Jim Muth 01 Mar '03

01 Mar '03

FOTD -- March 01, 2003 (Rating 5) Fractal visionaries and enthusiasts: This will be the last daily FOTD until the Fractal Central chores have been finished and the FOTD-CD is ready. I simply do not have the time to do the work than needs to be done and bring the CD to a fully-functional condition while keeping the FOTD going on a daily basis. Until the other work is finished, the new FOTD's will appear on a weekly basis on Saturday evenings Eastern Standard Time, which is five hours behind Greenwich Time. On the other six days, I will be spending my limited spare time catching up on repairs and doing what I should have done at the start to make the FOTD disk fun to use rather than a puzzle. (As a curious side note, the kind of oversights I made in the preparation of the disk are the same kind that I sometimes criticise my custo- mers for making in the jobs they bring.) Today's image combines portions of Z^2, Z^3, Z^4, and Z^5, a combination that has its critical point at zero, making tedious calculation unnecessary. The parent fractal is a rather normal Mandelbrot set surrounded by disconnected satellites. Today's scene is located in a minor valley on a spurious caterpillar- like feature that appears on the negative X-axis, some distance beyond the tip of the main negative stem. I have named the image "Ring of Fire" not because of any volcanic appearance, but because of the brilliant red-and-yellow ring of fractal elements surrounding the midget. The rating of 5 means I consider the image to be merely average. But it is still an interesting scene, perhaps not quite worth the 24 minutes required to render from the parameter file, but still worth the small effort of downloading it from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Friday stayed cloudy all day. In the afternoon the temperature rose to 38F 3C, but this just made the snow wet and sloppy -- far too unpleasant for the cats' paws. They passed the day sleeping by the heat and occasionally asking for food. 12-year-old cats are not known for unnecessary activity. As for me, I'm taking a break in the FOTD until the above- mentioned chores are finished and the much-advertised FOTD-CD is ready for distribution. Until next Saturday, take care and have no concern. I am not losing enthusiasm. I will continue to be active on the lists, and the FOTD will resume its daily basis as soon as the other tasks are finished. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Ring_of_Fire { ; time=0:24:43.82--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-2.99778179408523300/+0.001233816310509\ 62/9557373/1/170/5.11641841047238977e-008 params=1\ /2/0.2/3/0.1/4/0.03/5/0/0 float=y maxiter=1200 inside=0 logmap=123 periodicity=10 colors=000AKWAKZAKaAKdAKgAKjAKmBKpFLsKStOYtTctXitV\ SnTBiSIdRO_QUVP_QOeLNkGMqBUiT`aigUz_0Db1Gd2If3Kh4M\ j5Ol5Ql5Tl5Wl5Zl5al5dl5g4m37f49_4CT4EN4HG4J94h34u0\ BvZPwcbxmoszgszauzWszRqzLnzFkzAnoCpeDrXFuNGwDIy4Jx\ 9LwDNvIPvMRuRTtVVtZXnTTiOPdIM_DIV8FR7IO7LK7OH7RD6U\ A6X66_36bq8gjFadMWZTQT_KNfEml8mkzmkL8kR5kY2kc0ki6f\ lBbnHZpMVsSRuXNwaJyeIxiHwlGwpGvsFvwEuzEutGonIihKcb\ MZXOTRQNLRIqEcpGgoHkoInnJrmKvmLyOutYgrgUqpHpeDqV9r\ K6rP8nU9kZBgcCdhEamFYrHVvISqJYlKbgLgbLleIihEgkBdn8\ bq5`lD`gK`bR`ZY`V`YRcVOfTKiQHlODoLArJ6uG3wE7xHBxKF\ yNJyPNySRzVVzYYz_ZyYZyX_yW_yV`xU`xTaxSaxQbxPbwOcwN\ cwMdwLdwKUmCJc5I_BHXHGUMFQSENXDKbCHg68X79Y7AZ8A_8B\ `M_MHXHCTC8Q8BPFDPLGOSIOYKOcNNjPNpRNvLbZGqCFoBEmAD\ lACj9Bh8Ag89e78d77hF6kN5oV4rb3vj2yqCzgMzYVzPdzFmz6\ izFfzNbzV_zbWzjTzr_ztfzumzwtzxqzjnzYjzWfzVbzT_zSWz\ QSzPPzOfzFwz6rzEmzMhzUgzY } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE==================================

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Confiscation of Domain Names
by Paul N. Lee 28 Feb '03

28 Feb '03

Want to see what happens when the U.S. Federal Government decides someone has violated a law and uses a web site during the process?? Here is the Domain of someone found guilty to felony copyright crimes under the controversial Digital Millennium Copyright Act (DMCA): http://www.iSoNews.com/ And here are some other Domains where other laws were allegedly violated: http://www.ColorChangingGlass.com/ http://www.420now.com/ http://www.OmniLounge.com/ http://www.PipesForYou.com/ Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 28-02-03 (Minibrot Snowstorm [6])
by Jim Muth 28 Feb '03

28 Feb '03

FOTD -- February 28, 2003 (Rating 6) Fractal visionaries and enthusiasts: For at least a month, the view from the Fractal Central windows has shown everything covered in snow. So why cannot a fractal be in a snowstorm? In fact, as the name "Minibrot Snowstorm" implies, a snowy fractal is exactly what we have today. The snowstorm was created by combining portions of 1/Z, Z, Z^(-1.6) and Z^(-1.4), and then adding 1/C to produce a not-very- impressive parent. At first glance, the parent appears to have no open areas, but a careful examination shows it to be riddled with midgets too small to be visible at the default magnitude. Today's scene is located in the eastern suburbs of a larger but still quite tiny midget. The entire production is through the courtesy of the MandelbrotMix3a formula, which is like the workhorse MandelbrotMix4 formula except that it combines 4 different powers of Z rather than 2, and a critical point must be calculated by hand, an operation that is little fun. The rating of a 6 seems about right for an image that has a brief impact, then soon grows boring -- a sure sign of a work with insufficient artistic merit. The render time of 10 minutes on my 200mhz Pentium-I machine is a bit slow for an image only slightly above what I currently consider average. A more efficient way of viewing the snowstorm is to go to Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or to Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> and download the completed image from there. Thursday was cold and cloudy here at Fractal Central, with the snow flurries that fell during the day turning to steady snow in the evening. The snow plus the high temperature of only freezing kept thoughts of the outdoors far removed from the cats' minds. They satisfied themselves instead with a treat of turkey. Today is starting with light snow and 6 fresh inches 15cm on the ground. I guess this means more turkey for the dynamic ones. For me, it means more sidewalk clearing. I'll wait until the snow stops falling to begin. Until the next FOTD appears, most likely in 24 hours, take care, and savor every fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Minibrot_Snowstorm { ; time=0:10:47.74--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=+3.26650108165485/-0.05084635835292/4.9\ 03911e+008/1/-112.5/7.4048215368e-006 params=-1/-1\ /1/1/1/-1.6/-1/-1.4/0.2858095886402/0 float=y maxiter=800 inside=0 logmap=103 periodicity=10 colors=000mNzqVzu`zxezzmzzszzxzzzzzzzzzzzzzzzzzzzu\ zzmzzezuXzoPzkGxe8v`0sV0qP0mJ0kG0gC0dA0`80X60V40R2\ 2N06J0AG0EE0HA0L60P20T00X00`00d00g00k00g00e00d00b0\ 0`00Z00X00V00T20T80RE0PJ0NP0LV0K`0Pe0Uk0Zq0cu0hz0m\ z0rz0wz0zz0xz0uz0qz0my2ix4ew4av6Yu8Tu8NuAJuCGuCCuE\ 8uG4uG0uH0uJ0uJ0uL0uL0uN6uNGsPPqPZmRggRqbTzXTzRVzN\ VzRXzVXzXXz`XzbXzeXxgXukXsmXoqXmsXivXgxXdzXbzXZzXX\ zXTzXRzXTzZTz`VzbVzdXzeXzgZziZxk`vm`uobsqbqsdoudmv\ ekxeizegzgdugboiZkiXekT`kRXmNRmLNoHHoGCqC8qA2s60s4\ 0u00u00vE0vREvdRvqevzuvzzqzzmzvizqezkbzeZz`VzVRzPN\ zJJzEGz8Cz28z04z00z00z06z0EzHLz`TzqVxoVxoXxmXxmZxm\ Zxk`xk`xk`xibxibxgdxgdxgexeexeexegudgqdgobikbig`ie\ `ib`kZZkXZkTXkRXmNVmJVmHVmEToATo8Ro4Ro2Rm4Vk4Xk4Zi\ 6`g6dg6ee8ge8id8mb8obAqdAsgAvkCxoCzsCzvCzzEzzEzzEz\ zGzzGzzGzzGzz8zz2zz0zz0zz0zz0zz0zz0zz0zz4zzEzzNzzT\ zzTzzTzzTzzTzzTzzTzzTzzTz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 27-02-03 (Cometary Impact [6])
by Jim Muth 27 Feb '03

27 Feb '03

FOTD -- February 27, 2003 (Rating 6) Fractal visionaries and enthusiasts: For today's fractal we return to the rubber duck that is the parent of yesterday's FOTD image. In today's image the duck has been evaporated and its remains made visible by the < bof60 > inside fill. This fill creates images that consist of sheets and strings of bubbles, a feature that is quite prominent in today's image. I named the image "Cometary Impact". The impression of a cloud of comets streaming toward earth from a vanishing point shaped like a Minibrot is strong. I rated the image at a 6. It could be worth more, but I'm in a rather down mood this morning, and I do not see that much in the picture. The render time of over 3/4 hour is due to the fact that the image consists totally of trapped inside points. The wait may be avoided by downloading the finished image from the W.W.W. at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Light snow that fell all day amounted to 1-1/2inches 4cm, and kept the fractal duo housebound Wednesday. The temperature of 23F -5C helped not a bit. As a result, they were once again sullen, more accurately sleepy, since they did little but sleep. The treat of tuna was changed to turkey, which made their evening brighter. It's snowing again today, so I expect a repeat. I'll be very busy again today -- it's getting to be a habit. Maybe I need a vacation, but if so, it will have to wait, so until tomorrow, take care and don't give up the faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Cometary_Impact { ; time=0:48:50.05--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.59436303489694950/+0.011310676304601\ 45/131242.7/1/-152.5/3.79135223216309214e-010 params=-2/-1.8/2/0.75/0/1e+100 float=y maxiter=2500 inside=bof60 logmap=yes periodicity=10 colors=000qX`pWXoVTnUPmTLlSHkRDjQ9iP4hO5gN6fM7eL8d\ K9cJ8bI9aH9`G9_F9ZE9YB9X79X37W49V5BV6DU7FU8HT8IT9K\ SAMRBORCPQDQQDSPEUPFWOGYNH_NHaMIcMJeLKgLLiKMkJMmJN\ oIOqIPsHQtIRtHQuHQtHPtHPrHOqHOoHNnHNmHMlHMkHLiHLhH\ KgHKfHJeHJcHIbHIaHH`IEZHH_HJ_GL`GN`FPaFRaETbEWbDYc\ D_cCadCcdBeeBgeAjfAlf9ng9pg8rh8th7vi8zj7xi7vh7tg6r\ f6pe6ne5ld5jc5ib5ga4ea4c`4a_3_Z3YY3WX2UX2TW2RV2PU1\ NT1LT1JS0HR0FQ0DP0CP3EN5FM7GL9HKBIJDKIFLHHMGKNFMOE\ OPDQRCSSBUTAWU9YV8ZX8_W7_W7_W6`W6`W6`V5`V5aV5aV4aV\ 4aV4`U4_T5_S5ZR5YQ5XQ6WP6WO6VN6UM7TL7SK7SK7OIIKGTG\ EcCCn9AyBDwauP_tOXtNUsMRrLPrKMqJJpIGpHEoGBnF8nE5mD\ 1p83mC4jF6hI7eL9cOA`RCYUDWYFT`GRcIOfJLiLJlMGoNErQF\ nSFjUGfWGcZG_`HWbHSdHP`ITXIWUJZQJaMKeJKhFLkCLnENoF\ OoGPpHQpJSqKTqLUqMVrOXrPYsQZsR_sS`tUbtVcuWduXeuZgv\ _hv`iwajwbkwdhsefpfdmgbjh`giZdjX`kVYlTVmRSKo`Nn`Pn\ aSnaUmbXmcZlcaldckdfkehke } 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 20.0 PAR-FORMULA FILE==================================

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FOTD 26-02-03 (Rubber Duckie-01 [7])
by Jim Muth 26 Feb '03

26 Feb '03

FOTD -- February 26, 2003 (Rating 7) Fractal visionaries and enthusiasts: A day or so ago I mentioned a fractal I had found that is shaped like a rubber duck. That fractal is the parent of today's image, which lies in the valley that forms the chin area of its rubber-duck parent. The image is actually a disconnected one, lying in an isolated spiral some distance inland from the normal shoreline features. I named the image "Rubber Duckie-01" because I expect to find several more FOTD images hidden somewhere in the parent duck. I rated the image at a 7, which is the highest rating in several days. The unusual definition and clarity of the features earns the above-average rating. Plus, I rather like the colors. The render time of over 11 minutes can be avoided by letting Paul and Scott render the image and by then downloading the finished product from their web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Tuesday was a chilly day here at F.C., with a temperature that barely made it up to freezing, little sun, and a brisk north wind. The cats disapproved, but they have been disapproving so much lately that it's hardly worth commenting on. The tradi- tional treat of tuna eased their sullen moods. It's snowing again this morning, so more tuna may be needed. For me, it's another day and another rush. If I'm lucky, tomorrow's FOTD will be better than today's. Check then to see if I'm lucky. Until next time, take care, and what is it all worth? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Rubber_Duckie-01 { ; time=0:11:36.46--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=mandelbrotmix4 function=recip passes=1 center-mag=-0.35298570355113070/+0.250536664003145\ 20/1.41169e+009/1/149.35/-2.30686683135722381e-006 params=-2/-1.75/2/0.75/0/0 float=y maxiter=1200 inside=0 logmap=200 periodicity=10 colors=0006B3582351120AOS9MQ8KO8JM7HKEVtEStDQtCOtC\ LtBJtBHtDLuEOuFRvHUvIYwJ`wKcwMfxNixOmyQpyRszSvzTsz\ PlzMazJDtIEbHFJGGOFHTEIYDJbCKgCKlFJmHJmJJmLJmOJnQJ\ nSJnUJnXIoZIo`IobIoeIpgIpiIpkIplNqlRrmVsmZtnbtnguo\ kvoowpsxpvxntumrrlpoknljliijfhhcgfaccZ`_WYXTUUQ`XR\ aZUbaXcc_dfbehefkhgmkhpnirqjutkwwlyzlvultqlrmlphln\ dll`liWlgSleOlcJlaFl_BlY7kZCjZHi_Lh_Qg_Vg`Zf`ce`hd\ alcaqcauXerRipKmmEqk8ti9sgAreBrcCqbDq`EpZFpYJoaMoe\ PoiTomWoqZouaoxYooVofSoZPoQMoIJjMGePEaTBXW8S_6Ob3J\ f1Fi4R_6aRAcQEdQHePLgPPhPSiOWjO_lObmNfnNioNfnPcmQ`\ lSYlTVkUTjWQiXNiYKh_Hg`FgaDgRCgGEdHGbIH_JJYKKVLMTM\ NQNPONRLOSJPUGQVERXBSY9T_6U`4Ub4Vd4Vg3Vi3Wk3Wm2Wo2\ Xr2Xt1Xv1Yx1Yz1Yw0Wt0Uq0Tn0R120k0Ph0Oe0Mb0L_3JX8HU\ 9GRCEOFCLIBIL9FO8CR69U46X33_1BbJ9eG8hE6kB5n94q72t4\ 1w2jzrdzk_zeVz_QzUKzOFzIAzC5z6XzFVzETzDRzCQzBOzBMz\ AKz9Jz8Hz7Fz7Dz6Cz5Az48z3 } 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 20.0 PAR-FORMULA FILE==================================

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FOTD 25-02-03 (Candy Ring [5])
by Jim Muth 25 Feb '03

25 Feb '03

FOTD -- February 25, 2003 (Rating 5) Fractal visionaries and enthusiasts: Today's image is one of the grainiest of all time. The parent fractal is nothing more than a symmetrical pair of fragmented arcs, with little that appears to hold promise. The arcs do contain midgets however, and some of them are shaped most unusually. But for today's FOTD I have chosen a perfectly normal quadratic midget. I named the picture "Candy Ring". The ring of brightly colored spots surrounding the midget reminds me of a dish of candy that a child would love to dive into. The pattern around the midget is quite ephemeral, and quite dependent on the chosen palette of colors. Without a carefully chosen palette, the entire image deteriorates to a featureless expanse of fractal sand. The rating of 5 is nondescript. The image is neither good nor lacking. It simply exists, a mathematical abstraction that has never before been seen and never again will be seen. But this might not be totally true. If the universe is infinite, there are an infinity of fractalists sitting at an infinity of computers viewing this same image at this very moment. Of course, there is no such thing as this very moment throughout the universe, but that's relative, and therefore another story. I am getting letters asking the status of the FOTD-CD, and when it will be ready for distribution. The disk is basically finished. The material is gathered into one huge directory and ready to be copied onto a CD. The problem is that my artistic nature is exerting itself. I am not yet satisfied with the disk. I want it to be better -- as good as possible. I originally had planned to include on the disk the short stories I have written over the past 20 years or so. The stories are still ready to go onto the CD, but I have developed grave doubts about their worth. I would rather be known as a good fractalist than a marginal want-to-be writer. I also had originally planned to include on the disk the heated philosophical debates that I have had over the years with both believers and skeptics. These are also ready to go, but the more I think about this, the less I like the idea. The CD should be a fun thing, not a forum for fruitless and sometimes angry debate over things such as religion. Another hold-up is that I have been unable to locate a group of my earliest images, dating from way back in the late 1980's. They are not great, and their lack will have little impact on the CD as a whole, but they show how I got started on my insatiable quest for fractals. Another problem is the names of the GIF images, which are currently cryptic 8-letter DOS abbreviations of the longer full names of the images. The people who have tested the disk format have had trouble connecting the images with the corresponding discussions. (Would you know, while scanning a list of 30 GIF files, that the 'tmeandva.gif' image goes with the 'Theme and Variations' discussion?) I could solve this confusion by renaming the images so that the names correspond to the dates of their discussions, or by breaking down the current large monthly directories into 30 smaller daily ones, with one discussion and one image in each sub-directory. Either option would be a sizable task. Since Fractint is a DOS program, I want to keep the disk in DOS format, like the great disk that came with the second edition of "Fractal Creations". With all the other work that I have to do, it might be necessary to put the ongoing FOTD on hiatus while I wrap up the CD. Hopefully it will not be necessary. . . . but we'll see . . . On my machine, today's image requires almost 1/2 hour to render from the parameter file. Much time can be saved by downloading the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather was quite pleasant here at Fractal Central on Monday, with quite a bit of sun and a temperature of 44F 7C. Only the remaining snowpack prevented the duo from enjoying a romp in the yard. As for myself, I have a pile of graphic work to do, a leak to get patched, a basement to get dried, a fallen porch roof to get replaced, a FOTD-CD to wrap up, tomorrow's FOTD to find, and a pair of cats to keep happy. In addition, the central heat is acting up, probably because of the wet basement. All in all, it is just another normal day at Fractal Central, so until next time, take care, and when things are as bad as they could possibly be, barring the appearance of Murphy's law, they can only get better. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Candy_Ring { ; time=0:28:49.35--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.18015306714052880/+0.742625388281597\ 70/1.983779e+007/1/-140/-1.00973908755130903e-007 params=2/-1/-0.3/1/0/0 float=y maxiter=12000 inside=0 logmap=414 periodicity=10 colors=000QVOPVPNVQMVQLVRKVSIVSHVTGVUEWVFVUFUThhhF\ TSFTSFSRmK0FRQFRQGcPGQOGPOGPNGONGOMGNgGNLGMLHMKHLJ\ HLJHKIHKIHJHHUzHIGHIGKJJMKLOKNQLQwMzUMUXNWZOZ`O`bP\ bdPdfQgiRikRkmSmoTpqTrsUtwVxuUvsTuqTtoSsmSrlRqjQoh\ QnfPmdPlcOkaOj_NhYMgWMfVLeTLdRKcPJaNJ`MI_KIZIHYGHW\ HIUIKSJMQKOOLQMMSKNUIOWGPYEQ_CRaASc8Te6Ue4Vd1Ub1T`\ 0RZ0PY0NW0MU0KT0IR0GP0FO0HQ2JR3LT4MU5OV7QX8SY9T_AV\ `CXaDZcE_dFaeGcgIdhJfjKhkLjlNknOmoPoqQqrSrsTtuUvvV\ wwWvtUvqSvoQvlOvjMugKudIubGu_EuYDsWCqVCoUCmTCkSCiR\ CgQCePCcNBaMB_LBYKBXJBVIBTHBRGBPFBNDALCAJBAHAAF9AD\ 8AB7A96A85AA7DB9FCBHDDKEFMGGOHIRIKTJMVKOYMP_NRaOTd\ PVfQXhSYkT_mUaoVcrWetZexXfvVgtThsRhqPipOjnMjmKkkIl\ jGmhEmgDneBod9ob7pa5q_4qZ5rY6sX7tW8uV9vUAwTBxSBySC\ zTDzUEzVFzWFzXGzYHzZIz_Jz`JzaKzbLzcMzdNzeNzfOzgPzh\ QziRzjRzjTzjUziVzhWzgYzfZzf_zeazdbzcczbdzbfzagz`hz\ _hz`iz_izZjzYjzXjzWkzVkzU } 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 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 23-02-03 (Something is Wrong [4])
by jlewis 24 Feb '03

24 Feb '03

On Sun, 23 Feb 2003 09:35:53 -0500, Jim Muth wrote: > > FOTD -- February 23, 2003 (Rating 4) > > Fractal visionaries and enthusiasts: > > Due to water problems here at Fractal Central, which need to be > remedied, (leaky roof and flooded basement), today's discussion > will once again be short. Â The fractal is one I found with > little effort using the just-renamed MandelbrotMix3a formula. Â I > renamed it because there were two formulas named MandelbrotMix3, > and this was causing confusion. > > The image was rendered with the outside set to the <Â real > > option. Â In today's image, this option, with often does little, > creates an effect rather like a froth of bubbles surrounding the > central midget. > > I named the image "Something is Wrong" because something > actually *is* wrong with the image. Â A careful inspection will > reveal subtle inconsistencies in the symmetrical pattern > surrounding the midget. Â I leave it to the viewer to find these > inconsistencies. When I downloaded the image it came out as agreen square! Err... it seems correctly named. Best wishes John -- John Lewis, jlewis(a)clara.net on 23/02/2003 -- Using M2, Opera's revolutionary e-mail client: http://www.opera.com/m2/

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Re: [Fractint] Corrected reply
by Jim Muth 24 Feb '03

24 Feb '03

I made another mistake. This reply is correct. In the fourth line of the second paragraph of my first reply, the word 'left' should have been 'right'. This reply corrects the error. At 10:02 AM 2/24/03 -0700, Lee Skinner wrote: >Jim Muth said: > >>> The problem with the FOTD for Feb. 23 was that I forgot to >write the < frm: > before the formula name when I included >it as part of the parameter file. << > >But he also said a day earlier: > >>> I named the image "Something is Wrong" because something >actually *is* wrong with the image. A careful inspection will >reveal subtle inconsistencies in the symmetrical pattern >surrounding the midget. I leave it to the viewer to find these >inconsistencies. << > >I could not determine what the subtle inconsistencies are that >he was referring to. > >Can you elaborate on these, Jim? It's a case of coincidence. When I named the image, I was referring to inconsistencies in the image itself. I did not realize that I had omitted the < frm: > from the formula name, thereby creating an even bigger wrongness. The inconsistencies in the image are subtle. Compare the elements in the lower right corner to the corresponding elements in the upper left corner. You will see that the lower right elements are larger. Also notice the black area near the center (just to the left) of the bottom edge of the image. The corresponding area at the top edge is colored a pale green. This lack of symmetry is not kosher in proper quadratic midgets. Jim M.

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Re: [Fractint] What was really wrong!
by Jim Muth 24 Feb '03

24 Feb '03

At 10:02 AM 2/24/03 -0700, Lee Skinner wrote: >Jim Muth said: > >>> The problem with the FOTD for Feb. 23 was that I forgot to >write the < frm: > before the formula name when I included >it as part of the parameter file. << > >But he also said a day earlier: > >>> I named the image "Something is Wrong" because something >actually *is* wrong with the image. A careful inspection will >reveal subtle inconsistencies in the symmetrical pattern >surrounding the midget. I leave it to the viewer to find these >inconsistencies. << > >I could not determine what the subtle inconsistencies are that >he was referring to. > >Can you elaborate on these, Jim? It's a case of coincidence. When I named the image, I was referring to inconsistencies in the image itself. I did not realize that I had omitted the < frm: > from the formula name, thereby creating an even bigger wrongness. The inconsistencies in the image are subtle. Compare the elements in the lower right corner to the corresponding elements in the upper left corner. You will see that the lower left elements are larger. Also notice the black area near the center (just to the left) of the bottom edge of the image. The corresponding area at the top edge is colored a pale green. This lack of symmetry is not kosher in proper quadratic midgets. Jim M.

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What was really wrong!
by JimMuth＠aol.com 24 Feb '03

24 Feb '03

The problem with the FOTD for Feb. 23 was that I forgot to write the < frm: > before the formula name when I included it as part of the parameter file. Many apologies. Jim M.

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