December 2006 - Fractint - mailman.xmission.com

FOTD 09-12-06 (Spots Before the Eyes [7])
by Jim Muth 09 Dec '06

09 Dec '06

FOTD -- December 09, 2006 (Rating 7) Fractal visionaries and enthusiasts: Though the formula behind the image, Z^(0.947)+Z^(-0.947)+C, is most arbitrary, today's fractal is different enough to earn it a rating of 7. The parent fractal appears as a smooth-edged egg- shaped oval with only a tiny bit of Mandel chaos on the western edge. The FOTD for today was found in the area where the chaos merges into the smooth edge of the egg-shaped oval. The image is composed partly of inside and partly of outside stuff. The outside parts have degenerated into little more than a field of scattered dots, leaving most of the image made of inside stuff. But this inside stuff responds quite nicely to the 'bof61' inside fill, which completes the image and reveals a Mandelbrot midget at the center. I have named the image "Spots Before the Eyes" because it is composed mostly of spots of various shapes, sizes, and colors. The calculation time of almost 12 minutes is a bit slow, but still worth the effort. And finally, if all else fails, the image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A very cold day here at Fractal Central on Friday, with a temper- ature of 23F -5C and flurries of snow, went un-noticed by the fractal cats, who passed the day sleeping and chasing each other up and down the hallway. My day was spent clearing away a few small odd jobs that have been hanging around for several days. The next FOTD will appear in 24 hours, give or take an hour or two. Until then, take care and expect the unexpected. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SpotsBeforeTheEyes { ; time=0:11:49.20--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.36006249858245400/+0.443164915983890\ 50/8046.89/1/117.5/-7.00608737691510441e-011 params=1/0.947/1/-0.947/0/0 float=y maxiter=1000 inside=bof61 logmap=yes periodicity=10 colors=000HO9FK9DF9EUnDQgDN`CKUCHN000zQ5p7Ig8G_9ER\ ACJBAIrWHlTGgQFaNEXKDRH000BGBcyjWl`P_SINIETWDOQCKK\ BFEW1khY_XQR000Bc7g`jbXdbPwdPveQugRziRrzmmzSmfQjaO\ dcUcRKUUQWXWY_aZbg`ezacnzboc`pd_qeZqfXrgeshUtiTtjS\ ukzzlPwmOwmPtnQqnRooSloTjoUgpVdpWbqX_qXYqVWmTUiRTe\ QRbOPZMOVKMRJKOHJKFHGDFCCE9pMXgJSVp6YqA_UDbsGdtJfU\ MiUPkwSmjVktSipPhmNfiKefIKD9abGYZFUVEQRDMNCIJBEFAb\ 44T76K986oM7iK8cI9YG9SEAMCBGA`D_XCWTCSPCOMBKIBGEBC\ eH_aGWYFTUEPQEMMDJICFEBCfP_aNWXLSTJOOHKKFGFDCr8ij9\ bc9XXARPALIBFmHXcFRUELKCF1GnlcuPlhMd`JXUGQNDIGfhga\ cbXZYTUTOPOKKJFFE_1JHvcGoZFhVEaQDVMCOHBHDoFKdEHVDE\ LCBOV3HL6mrafjX`cSUXNOPIHIDcLV_JSWIPTHMPGKLEHIDEEC\ B7PQ8NN9LL9JIAHGAFDBDBCxZBpVBiRBbNBWKBPGBICHvmGnfF\ f_EZTDRMCJFfgw_`lUUbNOTHHJXL9TJ9QI9NG9KF9HD9EC95gW\ 10v43i66Y99L1VW3SS4PP6MM7JI9GFADCwIMZEFvJxfGfRDQrU\ PgPLXKHMFDTk7Qf8Oa8MY8KT8 } 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 08-12-06 (Deep and Low [6])
by Jim Muth 08 Dec '06

08 Dec '06

FOTD -- December 08, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's somewhat ominous image exists in the fractal that results when the formula Z^1.1+C is calculated at a level 11 turns up the logarithmic ladder. The escape radius of 1000 is necessary because the parent fractal is so large that nothing less will include all of it. The midget at the center might more accurately be called a blob. Its shapeless oval form holds little of interest. But the pattern around the midget is unexpectedly rich for a midget of such a low order. As is true of almost all midgets in this range, the pattern consists of ominous dagger-like elements thrusting toward the midget. But these daggers are far more varied than is usually the case. I found the midget by calculating the parent fractal with the outside set to 'fmod' and the logmap turned off. The 'fmod' feature makes finding midgets in such low-order fractals quite simple. At first, I was going to give the image no rating, but on second thought, I decided it was worth at least a modestly worthwhile 6. The name "Deep and Low" has no special significance. It simply refers to the mood of the image. With a fast render time of a little over 3 minutes, the included parameter file will try the patience of few. Even better news is that the finished image is ready for immediate viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies, snow flurries, and a temperature of 34F 1C here at Fractal central on Thursday, made things a bit brisk for outdoor activity. The fractal cats never go outdoors however, and they were quite happy alternating between playing, watching from the window, and asking for their treat. My day was adequate, which is all that can be said for it. Tomorrow will probably be another adequate day with another adequate fractal. Until then, take care, and be of good cheer for the rest of the year. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_and_Low { ; time=0:03:12.96--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-13.61962497368373/+10.0018730975\ 0523/141837/1/7.5/1.73666019483154077e-006 params=1.1/0/11/1000 float=y maxiter=7500 inside=0 logmap=80 periodicity=10 colors=000V4gY3d`3Tc3IQ1OW3L`5Je7Hd8EbAClQ2`D8gCMP\ C_6CmBXVFpDDdJBTPAHUHHYOHaVHdaHhhHlnHooGkoGhpFdpFa\ pFZoROobEom4hj8ahBWeFPcII`MCZPATR8NT6HV4BX25Z00`79\ YEIWLRUS_SZhQeqOftMfwLfzKdrRbjY`bdZVkXNqedgmvYjuTh\ tPftKcsGasB_r7Yr3NcTCPqINoOLmUJk_HieFgjDfiBelDboF_\ rHXuJUpNWkQYfT_aXaX_cSbeOegRLcT0_O4eJ8kFBpCChAC`7C\ U5CM2CE0C77NFDXMKfTQp_WzfFhaNjeUkh`mlhnoopsvqvCW0I\ L9OAIU0QV7UVEXVL`VScWZfWejWlmWspRriNrbJqXFqQBpJ7pD\ DlFJhHPdIV`K`XLfTNlQOjJ_iCkh5veGlcRb`aTZlJXvA_mMbd\ YdWiEeEJbVO_jRZmTZoVZrXZtZZw`ZyRMiH9VJ7SK6PL5MN4KO\ 3HP2EQ1CT9EVHGXPIZXJ`dLblNdsOicHc`NYZTTXZNVdITjMYh\ PbgSfeVkdYpb`taUvYNxVHySTjMdWGoHBmMCkRCiWCh_DfdDdi\ DcmDdpLesTeu_amcYffU_iQTlMMpIFsE8vB1yO2v`3sl3qhBmd\ Ji`QfXYbTeZQlWKoZEqa9sdAtgBtjCtmCtoDrlDoiEmfFjcFha\ KjYOlVTmSXoPaqMerJh`XjKiYRrXOpWLoVInUGlTDkZ6RVAQRD\ ONHNJKLANR3NSAKRHHQOEPVBO } 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 07-12-06 (Decorated Fractal [7])
by Jim Muth 07 Dec '06

07 Dec '06

FOTD -- December 07, 2006 (Rating 7) Fractal visionaries and enthusiasts: To generate today's 7-rated fractal image I combined negative Z^3 and negative Z^5 to create a parent fractal shaped somewhat like the dome of a Buddhist temple. On the northeast shoreline of the main bay lies a partially obscured bud, which at first looks totally non-critical -- the last place in the fractal world one would expect a midget. But in the world of fractals, nothing can be taken for granted until it is thoroughly checked out. One of the wedges converg- ing on the mouth of this bud actually has midgets all through it. They are not easy to find, but they are there. Today's image shows one of these midgets. When I saw the image I was reminded of Christmas ornaments and decided on the name "Decorated Fractal". The colors however have little to do with the season. The ornamental effect was achieved by rendering the scene with the inside set to 'bof60', which fills the inside parts with tiny balls. The render time of 5-1/2 minutes is reasonable for an image that rates a 7. And the image may be seen even faster by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it there. A temperature of 46F 8C and partly cloudy skies made conditions near ideal for the fractal cats here at New Fractal Central on Wednesday. For me the day was rather slow. The next FOTD will appear in 24 hours. Until then, take care, and keep thinking fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Decorated_Fractal { ; time=0:05:35.75--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=+0.49584343632567830/+0.375372629316643\ 10/47839.52/1/-90/3.88578058618804789e-016 params=-1/3/-1/5/0/0 float=y maxiter=1600 inside=bof60 logmap=yes periodicity=10 colors=000zzzzyxzxrxwlvvfrubrp`mlRfeHaYDVAHZMG_QIf\ VJgaKkgMomNsqOwmPzhJzTDzNAzD7yC8uB9qAAm9Ai8Be7Ca6D\ 000ZBL_GTCj_EsYFqXGpWHnVHmVIkUJjTKhSKgSLeRMdQNbPNa\ PO_OPZNPYNQeQQlSRsURzWQyXQxYQwZPvZPu_Pt`PsaOraOqbO\ pcOpcRpaTp_VpYYpW_pUapSdpQfpOhpMkpKmpIopGqpEkhVeak\ `VzaWwbWtcXqcXmdXjeYgfYdfZ`gZYhZVi_Si_Oj`LkZIkXFlU\ JlRMlMQmHTmCXm8_pIZrLYrOXrRWrUWqXap_foblneqkhwihz`\ luTpoLsiDwc5zYHmaT`edOipBlsQgudbwrZmoVclRViNLfJCdF\ TdRidbydnwbkuahs`eqZboY_mXXkVUiURgTOeRLcQIaPF_ODfY\ VlglrjzoiwlcpiYjgScdMYaGR_ALQYcKeVEmL8uCDtIIsONrUS\ q_Xpe`ojYhaWbUTWLRQDQUCQYCQ`BPdBPgAPiANgDMdFLaHJYK\ IVMHSOOTMUTK_UIeUGlVErVCxWAzW8w_AqcCjgEdkGYoISsKLw\ MFzOImMKjLNcKPWJROIUHHW9GY2Fd3Ik4Lr5Ox6Qs6Po6Oj6Nf\ 6Ma6LY6L_BT`G_bLfcQmaEzdUtghiiw_goXfgVe`TcTRbLPaEN\ dJOgNOjSPmWPeNZYFgQ1pR7pRDpRJpROpSUpS_pSepSgpSjpTm\ kTpgYqbbrYfrTksOosJttE5hr } 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 06-12-06 (Snowflake Symphony [6])
by Jim Muth 06 Dec '06

06 Dec '06

FOTD -- (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Snowflake Symphony". The reason for the name is obvious. The parent fractal, a distorted Mandelbrot set with a split East Valley and an augmented main stem, was created by combining 10 parts of Z^(1.1) with one part of Z^(11) and add- ing C. Today's scene is located in the fancy chaos near the tip of the main stem. Though not of exceptional quality, the image deserves at least some kind of rating. I obligingly gave it a rating of 6. The render time of 2 minutes is fast enough on even my tired old machine. An even faster 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 in completed form. Lots of clouds and occasional flurries of snow, with a tempera- ture of 32F 0C and a biting wind, made the outdoors quite uncom- fortable here at New Fractal Central on Tuesday. The fractal cats spent the day inside however, busy tearing up a newspaper. Their energy waned by treat time. My day was acceptable. Tomorrow should be the same. The next FOTD will appear in 24 hours. Until then, take care, and stay on the warm side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Snowflake_Symphony { ; time=0:02:08.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.45475523650970650/-0.096631092682053\ 72/2.539294e+012/1/-87.5/0.001 params=10/1.1/1/11/\ -0.9/0 float=y maxiter=1000 inside=0 logmap=43 periodicity=10 mathtolerance=0.05/1 colors=00000Y00Z00_00`00b00d00b00`00Z00W00Uzzzszzq\ zzlvzjqzglzbgz`bzZZzVVzTRzRMzMIzLFzIBzDDy9Fn6Fe2HX\ 0HO0IH0I80L10L00M00M00O00O00L00H00F00B009006012041\ 0801B0480060040020010000000000000200B00I00T00`00j0\ 0`08RZ0BX68TB2RI0OR0MX0Ie0Hl0Fv0Dz0Is0Mj0R`0VT8ZLH\ bDRg6`nFbsObzZezjeXjL`jLbgIggIjgIsVBzL4z90z10z00z0\ 00z00z01z04z08z0Bz0Hz0Lz2Oz6TzBXzFbnLgvOlzVqzZvzbs\ zVszMszFsz8sz1sz0sz0sz0qz0nz0lz0jy6jzBlz9nz8qz8sz6\ vz4yz4zz2zz1zz1zz0zz0zz0zz0zz0zz0zz2zz6zz9zzBzzFzz\ IzzMzzRzzTyzDjz1Zz0Mz0Dz09z06z02z00z00z00z00z00z00\ z00z00z20z60z90zD0zH0zM0zT6zZLze`zlsesXjXFnD0q00s0\ 0s00s00s00s00s00s00s00s00s00s00s00s00s00s08q0Hq0On\ 0Zn0jl0sl0nj0jj0eg0`g0Ze0Ve0Re0Mb0Ib0H`0D`09Z06Z04\ Z01`00b00e00e00g00j00l00l00n00z00z00z10z91zIBzTMzb\ HzZDzV8zR4zO0zL0zH0zD0zB0z80z40z10z00z00z00z00z00z\ 00z00z00z02z0Bz6LzDVzMgzX } 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 05-12-06 (Baby Ghost Buds [No Rating])
by Jim Muth 05 Dec '06

05 Dec '06

FOTD -- December 05, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image takes us to the Mandelbrot set, where we examine the perturbed set with a starting point of 0.7-0.2i. (The starting point is actually the square root of 0.7-0.2i, but for some reason, the type=mandel formula calculates the square root of the coordinates of the entered starting point.) I named the image "Baby Ghost Buds" for obvious reasons. The ghostly buds in the background, partly obscured by a giant spiral, are quite obvious. These buds are formed because, regardless of where a point starts, its travels will always eventually take it to the same path as a point that started at 0,0. Since the Mandelbrot set is very well explored, and I have posted similar fractals several times, I gave today's image no rating. The calculation time of over 9 minutes can be cut by 1/3 by rendering the image with the passes set to g. The time can be cut much further by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Partly cloudy skies and a temperature of 32F 0C made things a bit too chilly here at Fractal central on Monday, especially when combined with a brisk wind straight from the northwest. The fractal cats endured the chill stretched by the radiator. Their lazy day seems to have affected their appetites. I noticed a definite lack of enthusiasm when treat time arrived. My day was slightly busy, whatever that is, but I finished the real work in time to explore the perturbed Mandelbrot sets. The next FOTD will appear in 24 hours, almost guaranteed to be an improvement over today's. Until then, take care, and look for the fractal lining. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Baby_Ghost_Buds { ; time=0:09:11.45--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.57697498572536430/-0.451916231083388\ 20/4842.782/1/147.5/-3.68905600511837406e-012 params=0.7/-0.2 float=y maxiter=250000 inside=0 logmap=200 periodicity=10 colors=000mb5la4la4la3la3j`5h_7fZ8dYAbXBaWD_VEYUGW\ THUSJTRKRQMPQNNPPLORKNSIMUGLVEKXCJYBI_9H`7Gb5Fc3Ee\ 2Ef8GgDHhIJiNKjSLkXNlaOmfQnkRopSpoTooTnnTmnTlnTkmT\ jmUimUhlUglUglUfkUekVdjVcjUbjSaiQ`iQ_iM_hMZhHYhHXg\ HWgHVfIUfITfISeISeIReIQdJPdJOdJNcJM_OL_OK_PK_PJaUI\ aUHaUG`UF`QE`QD_QC_VCZVBZVAZW9YR8YR7YR6XW5XR4XW4WQ\ 5WV6WQ7VV8VQ9VVAUPBUUCUPDUUETPFTUGTOGSTHSOISTJROKR\ TLROMRSNQNOQSPQNQPSRPNSPRSOMTORUOMVORWNLXNRYNLZMR_\ MM`MSaMNbLTcLNcLTdKPeKUfKRgJUhJRiJTjJRkIUlITmIUnHU\ oHUoHVpGWqGWrGXsGXtFWuFWvFWwEWxEWyEWzEWzDXzDXzDXzD\ YzDYzDYzDZzD_zD`zDazDazCbzCczCdzCezCezCfzEgzGhzIhz\ KizMjzOjzQkzSlzUlzWmzYnz_ozapzcqzcrzcrzcrzcrzcrzcr\ zcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzc\ rzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrz\ crzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcrzcr\ zcrzcrzcrzcrzcrzcrzcrzcrz } END PARAMETER FILE=========================================

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FOTD 04-12-06 (Web of the Gods [8])
by Jim Muth 04 Dec '06

04 Dec '06

FOTD -- December 04, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's image reminds me of a spider web in purgatory, with the brilliant light of hope visible in the distance. I named it "Web of the Gods". I am not sure whether the church doctrine says purgatory still exists, but regardless, the image is a striking one. And if a God did not create the possibility of fractals, who or what did? The fractal formula subtracts Z^(-0.5) from Z^(1.5) to produce a parent fractal that resembles a warped Mandelbrot set with a field of twisted filaments lying to the northwest. The image is located rather deep on one of these filaments. I could have rated the fiery image at either an 8 or a 9. Being on the conservative side, I decided on an 8, but I guess the most accurate rating would be an 8-1/2. The render time of 7-1/2 minutes is well within reason for such a striking image. Running the included parameter file is the most enjoyable way to view the web of the gods, but visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there is the most efficient. Sunny skies and a temperature of 43F 6C made Sunday an average day here at Fractal Central. The fractal cats were unusually frisky most of the day, chasing each other up and down the hall- way, with their feet on the wood floor creating the sound of a distant stampede. But by the time the evening treat was served, they had settled down enough to eat their fill. My day was uneventful, which allowed me the time to find and create today's unusually attractive image. If tomorrow is equally uneventful, the FOTD fractal is likely to be well above average again. But in the world of fractals, nothing is guaran- teed, so check back then to see what happens. Until next time, take care, and how much time would it take for today's fractal to reach the Andromeda Galaxy? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Web_of_the_Gods { ; time=0:07:37.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.60018581308502960/-0.176748721957931\ 80/2.141276e+011/1/-130/0.0007 params=1/1.5/-1/\ -0.5/0/0 float=y maxiter=1000 inside=255 logmap=156 periodicity=10 mathtolerance=0.05/1 colors=000000220430630841A52C53E64G65I76K87M88N99P\ AAQABRBBSBBUDAVEAXF9YG9_H9`I8aJ8cK8dM7fN7gO7hP6jQ6\ kR6mS5nT5oU5p_4re3tk2wp2zm3zk3wi3mg3cd3Ub3K`3IZ3IW\ 3IU3HS3HQ3HN3HL3HJ3HH3HE3HC3HA3H83DG6AO96WC3bFDzEN\ wDOuEPsEQqERoESmFThFUcFVZFWXGXVGYSGZQGdOHjMHpKHvHH\ wFIsDIoBIj9IcHLaPO_XRYcUWkXUs_TzbUwbVtbWqbXobYlbZi\ b_fb`dbaabbZbcWbdUbeRbfObgMbeN_dNYcNWbNUaNS`NQ_NOZ\ NMXOJWOHVOFUODTOBSO9RO7QO5TP6XQ7_R8cS9fSAdRCcQDbQF\ `PG_PHZOJXNKWNMVMNUMOTQNTUMTYLSaKSeJSiISmHLgREa_7W\ h0QqGLgWHYjDPkERlFSmGTnGUoHVpIWqJYrJZsK_tL`uMavMbu\ Q`tTZtXXs_WscUrfSqiQqmPppNptLowJozInyGnyFnxEmxDmwB\ mwAmv9lv8lu7lu5kt4kt3ks2ks1dm0Yg0Ra0LX0PW7TVEXUK_U\ RcTXgScjSiSUUAWEDZDG`CIcBLeAOg9QjATlFVnKVoPVoUVpZV\ pcVphVqmVqrVrvVrzVrzVszVszVtzVuzVvzUwzUxzTyzTzzSzz\ SzzRzzRzzQzzQzzPzzPzzPzzNzzLzzJzzHzzGzzEzzCzzAzz8z\ z7zz5zz3zz1zz0zzCzzNzzzzp } 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 03-12-06 (Star of the Season [No Rating])
by Jim Muth 03 Dec '06

03 Dec '06

FOTD -- December 03, 2006 (No Rating) Fractal visionaries and enthusiasts: The parent of today's image was created by combining 10 parts of Z^(-2.1) with Z^(-10.5) and adding (1/C). It appears as a large flat disk with the fractal action on the southwest side. Today's scene is located in one of the stubby arms extending from this area of action. The image is not quite worth a rating, but if I had rated it, I would have given it a rating around 5. Its effect is due almost entirely to the color palette, and not to any great fractal discovery. The name "Star of the Season" was inspired by the 8-pointed star around the central midget. Yes, I know that seasonal stars have 5 or 6 points, not the 8 points we have in the image. But what the heck? A star is a star, and real stars have no points at all. The calculation time of 1-1/2 minutes is thankfully fast. The minor task of calculating the image may be dispensed with entirely by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the seasonal star there. A mostly cloudy and blustery day with a temperature of 43F 6C on Saturday was ignored by the fractal cats, who spent most of the day on their shelf by the window, watching for birds. My day was about as close to normal as it is possible to come. This might seem dull, but when things get too hectic, a bit of dulness is just what the doctor ordered. The next FOTD will appear in 24 hours. Until then, take care, and be serene but alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Star_of_the_Season { ; time=0:01:37.71--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.31768504268745900/-0.360059499562594\ 60/3.698292e+007/1/-10/-9.32659162518334472e-007 params=10/-2.1/1/-10.5/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000EQeFOgFMjFLlGKjGJiGIhGHgGHfHGdHFcHEbHDaH\ D`ICZIBYIAXI9WI9VJEZKIaLNdMRgNWkO_nPdqQhtQlwoPhnNi\ mMjmLklKllImkHnkGojFpjEqiEpiEohEohEnhEngEmgEmgElfE\ kfEkfEjeEjeEieEigHkhJliLmkNnlPomRpnTqpVrqXsrZtt`uu\ bvvdwwfxshtpjpmkljmifnecpa`qZYsVUtRRvOOwKLyGIzDKsC\ LlCMeCNZBOSBPLBQEBPHDOKFNNGNQIMTJLWLKZNKaOJdQIgRHj\ THlUKmSNmRQnQTnOWnNZoMaoLdpJgpIjpHmqGpqEsrDvrCyrBk\ tDZvEMxF9zGCtKFnOIiSLcWOZ_RTcUNgXIkWCVU7eQCkWGjVKp\ TOoRSnOWnM_mKclHglFkkDokFklHglJclK_lMWmOTmQPmRLmTH\ nVDnX9nY6nZ6mZ6m_6l_6l_6k`6k`6j`6jW6iW6iW6hW6hb6gb\ 6gb6gUBVQDPMGIIICEK6GM0JQ4MU8PYCSaGVeJYiN`mRcqVhuZ\ myamzbOkbNdbMZcLScKLcKFcWCSg9Hs66oK4kY3gk1cx0ho8lg\ FpZMtRTvCYTkAXmC_nDcoEfpFE`OIe`LwtTQa`7SdKYhXblihp\ vmnoemhZlaRkVKlWQlWVlW_kUejSkiQqjVhk__lVWldRIXii9P\ jLMkXK2Yt8hYThQ8rEJoFTmGbjHPrE`mGHD4PL8XTBd`FJm0Yj\ 9sFooUZ58ORRLUTkDVYDT`zSz } 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 02-12-06 (Olympic Fractal [7])
by Jim Muth 02 Dec '06

02 Dec '06

FOTD -- December 02, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image was created by combining Z^100000 with Z^0.1 and adding C. It is named "Olympic Fractal". The reason for the name is not apparent from the appearance of today's image. The unlikely name was totally inspired by the parent fractal. This parent fractal consists of several narrow, overlapping rings, which I suspect are mathematical artifacts of some sort. But made of artifacts or not, the parent reminds me quite strongly of the five overlapping rings of the Olympic logo, which is why I gave today's fractal image its name. The image is located on the edge of one of the rings, very near the X-axis. After a not-so-careful consideration, I rated the image at a 7, which is a notable comedown from the rating of Nov. 30th's lofty image, but still well worth the tiny effort required to view it. The lightning-fast calculation time of 57 seconds means that the image can be finished faster than one can go to the next room to pour a drink. Perhaps the most convenient way to see the scene is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the completed fractal there. Heavy clouds, high winds and torrential thunder-showers passed through Fractal Central on Friday, while the temperature reached an unprecedented 75F 24C. Unlike the old fractal cats, named Thomas and Tippy; the new fractal cats, Nicholas and Cassie, do not run and hide from thunder. When the rain and wind arrived, they leaped to the window to watch the excitement. My day was about average, except for my walking ability, which still has much improvement to make. The next FOTD will appear in 24 hours. Until then, take care, and be content. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Olympic_Fractal { ; time=0:00:57.07--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=+0.00001739587823375/+0.000032322649772\ 03/1.187592e+008/1/92.5/-1.34777874277736132e-009 params=1/100000/1/0.1/0/0 float=y maxiter=300 inside=0 periodicity=0 colors=000qIClCAEVvTIYE6yze3Od4VT6aH84yfOYQRxV_XKw\ 8KnzqlkejYVhKKM7DU6B`6AdbUHRiKGrSCb_9OtwcpiWmXOjJG\ yx2qVemMVjEKKL8WD9Tp7Xd8`T8iTUTs8`V9AYeM0UXFKr7fz6\ zj6K3JDOCBWE0_B3zc6awu5N1PE5M0IS2FX3Db5BJaXSRP_GHu\ 2YzmLWXU_ONcFGzVq7JXQCLZ61a64d67UeX`OL59xfAGg9Eg8C\ g7A36_O6MXMG`GDdBBR4ZX5Qb6HbQiPhUWWNaJGfVdgMUgEJ2v\ rNWWna1kR4iG7O4WY5KxD3sB5o96k78OonYTUeQkfJZgCM3gIE\ YFOPDYFBdiTfQJqAHm8Ej7Bg`TgTOgLJgDEzPcpFOfIv6bcemq\ fSVl7zj6li6_h6M6x0PX5RrzAUJMMFXECGlkURSJW0WJ5AZcJR\ WRKO_DGokDlYBiKA3CfEAYxSQhVhTYzxivflcPoM7q49yMEkWJ\ YeNLoOTpP`qQhrRos9ylRYT6HlJDZW9M0dcMNOJerSUb_IOCdj\ SNSlEZriGo_ElQCiGAw0qs2eo3Vk5KCbwSMYgfegUVgIKteUmO\ JWL8_G9cB9ovwkWY_2Ab3Jd4Ge5Ef6B6u5PW7ifDhXChOBgFAj\ uOihKhWGgJCDUlTIT7DZHBSQ9MZ7FxqUoUJU7CY6B`6Ad69tJM\ oEHkADZl5aa6cR7eG8IG4PD6VB7a88OPUVINaCGKgLWPFS6SaL\ KcHHdDEf9BkSTjMOiHJhBEwPE } 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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Variations on a theme
by David M Fisher 01 Dec '06

01 Dec '06

Just playing around. Attached are a dozen .pars of the FOTD 30 Nov 06. Original resolution was 800x600 which has been changed to 1048x768 to reduce jaggies. Iteration was reduced to 300 so I could render all of them during this lifetime (about 4.06.75 per picture). Palette was remapped for each individual render. Hope you enjoy as I did doing. David M Fisher sunfish(a)intercom.net

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FOTD 01-12-06 (Craters of the Moon [No Rating])
by Jim Muth 01 Dec '06

01 Dec '06

FOTD -- December 01, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's very fast image reminds me of the craters of the moon. And this is what I named it. I guess lunar craters are not worth much because after careful consideration I decided not to give it a rating. The parent fractal came about when I combined 10 parts of Z^(-0.3) with Z^3.4 and added (1/C). This parent fractal appears as a small Mandelbrot set surrounded by a field of disconnected satellite areas of chaos. Today's image is located in a remote satellite far to the northeast of the central M-set. The ring-like effect that reminds me of craters was created by calculating the image with the outside set to 'tdis'. I believe this option measures the total distance the points travel before they escape. The other outside options give images that are too chaotic. The image is a very fast one, taking only 1 minute on my tired old machine. It will go even faster on the SOTA units that are able to run Fractint and also display the DOS VESA video modes. Those who do not render may see the image by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it there. Thick clouds and a mild temperature of 61F 16C prevailed here at Fractal Central on Thursday. The fractal cats made the most of the situation by trashing another newspaper. They were quite hungry when the time for a treat arrived. My day was a little busier than yesterday, but still on the slow side. The idle times verged on boredom. I am getting impatient with the slowness of the recovery from the injury of 7 weeks ago. But luckily, it is not possible to get excessively bored in a world filled with fractals. The next FOTD will appear in 24 hours. Until then, take care, and look up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Craters_of_theMoon { ; time=0:01:01.96--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=-0.09604425985233628/+0.005889632479975\ 37/2.00283e+012/1/95.0966371678279785/-0.087088540\ 2672808562 params=1/3.4/10/-0.3/0/0 float=y maxiter=350 inside=0 outside=tdis logmap=24 periodicity=10 mathtolerance=0.05/1 colors=000fVIcclcbmcanc`nc_oc_oa`l`ai_bfZbcYc`XdYW\ dV`__dVciPhmKmqFq_TeIeV0bK2gU4dc6ZmXcgWFraLnfRkLBQ\ PBOTBMXCK`CIdCHjOFoZEuiCztBpq9go7Yl6Pj4Fg26e1Bd8Gc\ FLbMQbSVaZ_`ed_lh_reTjcNbaHWcLVePVgTViXVk`VmdVohVk\ fxngrqgmthgvo6vmCvlHvkNvjSviYJwubokq9frEesIesNdtRd\ uWcu_cvdbtrPupRuoTumVvlXvjZvi`Y5oaAmdFkgKjjPhmUfpZ\ esccW2WaBYfKZlS`q`a2z5VqMTwEZtJdqOjnTpkYpvYrsZsp_t\ m`ujadXsgZpj`mmbjpdgsfdcXFfZIh_LkaOmbRodUreXtg_qFk\ tUfBMy6qwKnqXllijgFz9LwDQuHWsL`qOfnSklWqj_Hk9SjHai\ OlhWlkbnjbpibribthbi3jlChoKfqTet`c3wp45s6q3BhmHhkN\ hjThhZhgdhfjhdphc9DaMLbYTbj`b6F6FKCOPHXUNeZSncYFWO\ MYRS_TYaVdcXjeZpg`LnQTlT`kWgjYoi`vgRvhTvhVvhXvhYvh\ _vha5`vJbqWdlifgEd`Qea`fakgbfWCTHNYLQaPSeTUjXXn`Zr\ d`4eyV6sZCpbInfNkjTinYfrcdaDJdIMgNPjRSmWVp_Ysd`rfv\ sgrtgotgluhhvheg6`oQaDUAKXFRZJX`NcbRidVpfZqFrrKosP\ ltUjuZgvcdgQRkVUo_Xsd_cTF } 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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