December 2005 - Fractint - mailman.xmission.com

FOTD 16-12-05 (Something New [5])
by Jim Muth 16 Dec '05

16 Dec '05

FOTD -- December 15, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal image shows something new in the fractal created by the formula Z^2+C. The Mandelbrot set and the Julia sets are familiar enough, but what about the images such as today's, which result when the planes of the Julibrot determined by the imag(z) and real(c) axes are examined? I have named this orientation the Elliptic. The images it holds are a blending of the Mandelbrot set and the Julia sets, though some of them, such as today's, bear little resemblance to either. Today's scene is located in the East Valley area of the M-set, and also in a small part of many of the corresponding Julia sets. I have named it "Something New" because it would take a long search to find anything even remotely like it in any of the pure M- or J-sets. But uniqueness does not necessarily make a great fractal, and after careful consideration, today's image could be rated no higher than a 5. The render time of 6-1/2 minutes may be overcome by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday was one of those totally hopeless days for the dynamic cat duo. A very cold and cloudy morning led to snow by noon and freezing rain by 3pm. At night dense fog moved in. The fractal duo spent the day alternating between watching the weather from their window shelf and sleeping on the couch. A good deal of tuna was needed in the evening to cheer them up. My day was nominal and even a bit slippery at times. The next FOTD will appear in 24 hours. Until then, take care, and wax philosophi- cal, whoever he is. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_New { ; time=0:06:37.28--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=Elliptic passes=1 center-mag=-1.47467629642814200/+0.056609576191273\ 65/6.03832e+007/26.936/-54.4825550356410631/59.554\ 9489674158323 params=0.512/0/0/0 float=y maxiter=1800 inside=255 logmap=-705 periodicity=10 colors=000lOXoRWqUWx_VvYVsWTpUSmSRjQQhOPeLNbJM_HLX\ FKVDJSEGQFDNGBLH8II5GI3IK9JMFLOLMQRNSXPUbQWhSYnT_t\ UayS_vRZtPXrOWpMUnLTkJRiIQgHPeFNcEM`CKZBJX9HV8GT7F\ R9LOAQLBVJD_GEdDFiBHhCJhCLhCNhCPhCRhCSgDUgDWgDYgD_\ gDagDbgDDWnM`aVePHjvMilZH_XG`VG`TFaREbODcMCcKBdIAe\ GAeJCdLEdOGdQIdTJdVLdYNd_PcbRcdScgUciWclYcnZcpYYrY\ Sm_TiaUecV`dWXfXThYOjZKk_Gm`Boa7qb3rc7sdBsdFtdJtdN\ udRudVvdYveaweeweixemxeqyeuyexyewudvqdvmduidtedtad\ sYdrUdrQdqMdpIdpEdoLfnRhmXimbklhlknnktolsklrgmqcmp\ `noXnnTomQolMpkIpjFqiBqh7qg4ng3kg3hg3fg3cg3`g3Zg3W\ g3Tg3Rg3Og3Lg3Jg3Gg3Dg3Bg3Ed6Hb9K_CNYEQVHTTKWQMZOP\ aMSdJUgHXjE_mCap9ds7gHLeJKeLKeNJdPJdRJdUIdWIcYHc_H\ caGccGbeGbhFbjFblEanEapDarDatDanJbhPbbVcX`cSfcVa_X\ XX_SUaNRcIOfDLh8Ij4Fg6Hd8JaAL_CNXEPUFRRHTPJVMLXJNZ\ GP`EQbGVdH_fIdhJiiNheQhaThYXhU_hRbgNfgJigFlgBog8gU\ I`HSU4`X7__AZaDZdGYgJYiLX } frm:Elliptic {; Jim Muth imag(z),real(c) z=flip(imag(pixel))+p1, c=real(pixel)+p2: z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 15-12-05 (Higher Dimensions [4])
by Jim Muth 15 Dec '05

15 Dec '05

FOTD -- December 15, 2005 (Rating 4) Fractal visionaries and enthusiasts: We had an unexpectedly busy day on Wednesday, so the image is very fast and the discussion is short. Today's image is named "Higher Dimensions". The name refers to the 4-dimensional Julibrot fractal, which is the source of today's image. The image shows an attractive Seahorse Valley midget from an entirely new direction. It is neither a Mandelbrot image nor a Julia image, but an image sliced in a random direction. The rating of a 4 is all I could do for the image, which is not at all attractive when seen from today's direction. The Mandelbrot aspect of the scene is far more pleasing. The render time is an unusually fast 53 seconds, but the finished image is still posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A lack of sun, snow-covered ground, and a high temperature of 23F -5C kept the fractal cats solidly indoors all day. But they now appear to have adjusted to the limited outdoor time, and are spending their days looking forward to tuna rather than going out. My day was notably neutral. The next FOTD will appear without fail in 24 hours. Until then, take care, and be ready. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Higher_Dimensions { ; time=0:00:53.33--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=1 periodicity=10 center-mag=0/0/1.062917e+008/0.0683/-34.5291825197\ 818198/-72.9973164417551317 params=42.858/-22.976/\ -82.713/149.193/-0.7957458443595292/-0.18480832907\ 16682/-0.7957458443595292/-0.1848083290716682 float=y maxiter=1500 inside=0 logmap=65 colors=0000`JD_UCZ_BXdAUk9Qp8MqAKoBJiDHdEGZFFTHDOI\ CIJBDIFCHICHLCGOBGRBFUBFXBE_AEbADeADhAIjDNlGRmJWoM\ `qPdrSitVmuXnlanceoVjoMnoDrhQtaavVnxOzzPwxQuvQstUq\ nYpi`nddmZglUkjPoiJrgEvf9ye4uf8qgCmhFiiJfjMbkQZlTV\ mXSn_Ol`Kj`GhaCfa8db4bb0abDgVPlNarFmw7qnPuefyXwsYr\ nZmi_id`d_a`VbWQcSLdNGeJLdHPcFUbDYaBb`Af_8kZ6oY4tX\ 2xW1tX2qY3nZ3k_4h`5ea5bb6_c6Xd7Ue8Rf8Og9LhAIiAFjBC\ kBDlEElHElJFlMGmOGmRHmTImWImZJn`KncKneLnhLnjKkkKhl\ KflJcmJamJZnIXoIUoISpHPpHNqHKrGIrGFsGDsNKgUQW`WKZV\ MYVOWVQVVSTVUSUWQUYPU_NUaMUcLUdKVhJWkIXnIYqJXrKXrL\ XrMXsNXsOXsPXtQXtRXtSXuTXuUXuVXvWXvWXvQYwLZxF_yA`z\ BYuCVpDTkEQfFOaGNcGNeGNfGNhGNjGNkIMiJMgKMeMMdNMbOL\ `QL_RLYSLWULVVKTWKRYKQZKO_KM`KLXQMTWNQaOMgPJlPLmNM\ mLOmJPmIRmGSmEUmCVmBXm9Ym7_m5`m4Yk7Wi9UgBReDPcGNbI\ K`KIZMGXPDVRBTT9SVEUWIWXMYXQ_YUaZYbZad_ef`ih`mjaqk\ ajbVcUOXLIQCBJ45GF9DQCA`G } 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 14-12-05 (Mandelbrot Berries [6])
by Jim Muth 14 Dec '05

14 Dec '05

FOTD -- December 14, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image returns us to the most prolific fractal of all -- the one and only original Mandelbrot set. We focus on a small filament on the northeast shoreline of a small midget in the large north radical of the large midget on the negative X-axis of the M-set, and dive very deep indeed to find the even-smaller midget that appears at the center of today's image. The name "Mandelbrot Berries" was inspired, (if any inspiration was involved), by the eight vaguely berry-shaped features around the tiny midget. At the scale of today's image, the entire M-set would be near the size of the Milky Way galaxy. It's a good thing that relativity does not come into play in the world of fractals, or it would take many lifetimes to get from one side of this bloated M-set to the other. Because the M-set has been so thoroughly explored, I could rate today's image no higher than a 6. The magnitude is well into the range where arbitrary precision math is needed, which means the image is a slow one, taking exactly 4 seconds less than one hour to calculate on my old slow machine. But the hour can be saved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. The skies were sunny here at Fractal Central on Monday, but the ground remains snow-covered and the temperature never rose above freezing. As a result, the cats never got their noses beyond the open doorway. They spent the day on their shelf by the window, watching the birds and trying to keep warm. My day was as average as a day can be. The next FOTD will appear in 24 hours, which is also as average as can be. Until then, take care, and see the glow. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Berries { ; time=0:59:56.00--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.75514324001954239355444860002/0.0162\ 974046060244224849532915721/3.39205e+025/1/145/9.1\ 3331910101788935e-011 params=0/0 float=y maxiter=10000 bailout=9 inside=0 periodicity=10 colors=000nWlkTjgRhdOf`MdYKbUH`QFZNCXJAVG7TC5R52N7\ 3O93PB3PC3QE3RG3RI3SJ3SL3TN4UO4UQ4VS4WU4WV4XX4XZ4Y\ `4Za4Zc5_e5`f5`h5aj5al5bm5co5cq5dr5dp6eo7fn8fm9glA\ hkBhjCiiDjhDjgEkfFkeGldHmbImaJn`Ko_LoZLpYMpXNqWOrV\ PrUQsTRtSStRTuQTuRStSSsSSrTSqTSqUSpUSoVSnVSnWSmXRl\ XRkYRjYRjZRiZRh_Rg_Rg`Rf`ReaQdbQcbQccQbcQadQ`dQ_cQ\ YbQWaQU`QS_QQZQOYQMXQKWQIVRGURETRCSRASS8SS6TS6TS7T\ T8UT8UT9UT9VUAVUAVUBVUBWVCWVDWVDXVEXWEXWFYWFYWGYXH\ ZXHZXIZXI_YJ_YJ_YKZZL_YK`XK`WKaVKbUKbUKcTKdSKdRKeQ\ KeOLePKeQKeRKeSKeTKeUKeVJeWJeXJeYJeZJe_Je`JeaIebIe\ cIedIeeIefIegIehHeiHekHelHenHepHhqIfnHenHdkHciGbgG\ aeG`cF_aFZZFYXEXVEWTEVRETPDSNDRLDQJCPGCOECNCBMABL8\ BK6AJ4AI2AH0AI2CJ3EJ4FK5HK7IL8KL9LMANMCONDQNESOFTO\ GVPIWPJYQKZQL`RNaROcSPdSQfTRhTUiUWkUYmV_oVapWcsWet\ XgxYhz_gyXewUcsQaqN_nKYkHWhDUfASc7Qa4O_5Ma5Lb6Kd6K\ e7Jg7Jh8Ij8Ik8Il9Hn9HorYn } END PARAMETER FILE=========================================

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FOTD 13-12-05 (Great-Grandson of the Fractal [5])
by Jim Muth 13 Dec '05

13 Dec '05

FOTD -- December 13, 2005 (Rating 5) Fractal visionaries and enthusiasts: With today's image we make one last return to the area of 'The Fractal' where the two critical point fractals overlap. We return to see the great-grandson of the original fractal. The resulting image resembles a spoked wheel, which I would have named it if I had not already chosen the name "Great-Grandson of the Fractal". The rating of a 5 indicates that I consider the image merely average. The render time of 1/2 hour on my old machine is rather slow for an average image, so I advise downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Mostly cloudy skies, a temperature of 36F 2C, and snow-covered ground kept all thoughts of an outdoor adventure from the cats' minds on Monday. They needed only to leap onto their window shelf and take a glance at the snow to know that it was too harsh out there for sensitive aged cats. I consoled them with a generous serving of tuna. My day was notably average. The next FOTD, which will certainly not be average, will appear almost by magic in 24 hours. Until then, take care, and string along with the latest fad in physics. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Great-Grandson { ; time=0:29:27.56--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.1466972846417/-0.75853723570345/7.45\ 3018e+008/1/57.5/0 params=1/2/-0.4/-0.8/0/0 float=y maxiter=3000 inside=0 logmap=583 periodicity=10 colors=000G00K00O00S50WA2_F4cK6iP8mUApZCscEvfGxiIz\ lKmUUVPPOKQNFRNASNAUNAXNA_NAbNAeP8hR6kT4mU2or9qkGr\ dNsYUtR`uWYv_WwdTxhRylPzqMzuKzyIziMzVPzWQzXRzYSzZT\ zZUzSTzMTzFQz9MzhKziKzjKzkKzlKzlCz`CzQCzECz3Cz6Ez8\ GzAIzCJzFLzHNzJPzLQzdIzxBziKzVTzHazNXzTSzYNzcIziLz\ nOztRzyUzqXzi_zaayVcxUewTgvSjuRmnQptPqrPoqPmpQkoRj\ nSimTilUkkVmjWoiXqhYsgPufHwe9ycFzaLz_QyXMxUIwRFuPB\ sQ8qRHoPQmOYmNHmdImYJmRQmWXm`cmejnj`oeRp`HqXcrVgsR\ ktNouJpvHqwFrxDsyCvzBxzBzzBzzHzzMzzRzzSzzSzzxzzizz\ Vzz4zzAzzszzIzzgzz`zzUzzNzzmzzwzzlzzazzRzzAzzDzzQz\ zLzzHzzGzzGzzGzzXzzSzzOzzKzzrzzlUwZQrPer6`r9WrBRrE\ JrHKrKLrPHrUJrZKrcLrhlrmZrrPrvXrzrzzizzazzUzzXzzRz\ zPzzNzzZzz_zzczzgzzkzzozzszzwzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Fractal web site
by David Dollevoet 13 Dec '05

13 Dec '05

Greetings, My fractal web page is updated for 2005-12. http://www.djd-fractal.com David Dollevoet

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FOTD 12-12-05 (Quartic Mandelbrot [4])
by Jim Muth 12 Dec '05

12 Dec '05

FOTD -- December 12, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's rather hurried image is a scene in the quartic Mandel- brot set, which has nothing to do with liquid measure. The parent fractal is based on the formula Z^4+C, and the fourth power is known as the quartic. The scene is located on a small filament on the northeastern shoreline of the large midget on the negative X-axis of the parent fractal. Actually, the identical image exists in two other places on the same shorelines of the other two corres- ponding midgets. I named the image "Quartic Mandelbrot" for a reason that does not need to be explained. With limited time in which to work on the coloring, I could do no better than the present warm-red-and-green theme, which rates no better than a below-average 4. Luckily, the render time of 1-3/4 minutes is brief enough to take a good part of the pain out of the calculation. The pain may be totally removed by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The week-end was cold and the ground remained snow covered here at Fractal Central. The cats appear to have entered their winter mode, where they realize that it is too harsh outside for comfort. They satisfy themselves with a day of watching birds, and with generous treats of tuna. The weekend search for the new Fractal Central went smoothly, but no real candidate has yet been found. The next FOTD will appear, for sure this time, in 24 hours. Until then, take care, and what are the physicists missing in their never-ending quest for 'everything'? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Quartic_Mandelbrot { ; time=0:01:46.28--SF5 on a P200 reset=2004 type=mandel4 float=y mathtolerance=0.5/1 center-mag=-1.22081630124854600/+0.002586485120148\ 20/3.60701e+012/1/52.5/0.0165 params=0/0 passes=1 maxiter=1500 inside=0 logmap=131 periodicity=10 colors=000GB7I38N59S6AY8Bc9CjADnOEtQFzUGzZHzcIeVJ`\ _KWdHRjDMo9Ht5LmCOfJR_PUTWXMa_Fhb8nKXMRcHXjDbq8hx4\ bt8YqBSnENkIHhLCeODcLEaIF_GGYDHWAHU8D`99g95nA2tA9r\ DGpFMoITmK_kNejPebUeVZeNceFhe7mf0mhAmjKmlUmncmpclm\ cgjccfcZccU`eQUgONmMGoK9qI3sGIqGWpGioGwnGrkFmiFigF\ ddF_bFW`F0qKHsTXu`gamrIzu9jx1VrEPlQJgaDam7Xy1Q9KSM\ OTZRQXTOWULVVJTXGSYERZCQ_DRZDSYDTXDTWKMbQFiX8pb1wY\ 8xUEyQLyMRzIXzLPlOIZUHWZGTcGRiFOnFMsEJxEHxDGxCGxCF\ xBFxBExAExAElJQaSaR_mPXpNUsLRvKOyPQuUSrZUncVkhXgmZ\ dr_aoXalVaiTafRacPa`NaZLacMggNmlOspPxoQroQmnRhnRcn\ RZmSUmSUmSUiKceCha4mX7rT9wOBzKDzFFuBHzJPzQXUYdKdlA\ kt1nj5p`8sUBuZEwcHthSqmborljvXezHMzI3zJcz9azH_zOYz\ VWzbUziSzpIzIdzIhzJkzJozJrzJizP`zUSzZJzcBzh6zeFzjO\ znXzrezvmzzbzpSzgHzZ6zQEzSLzUSzVZzXezZlz_fzd`ziWzn\ QzsLzwPzmSzcWzUZzLazZdzkgzxczt`zqYznVzkSzhPzeSzdVz\ cYzb`zbczafz`iz_lz_SzYEz_ } END PARAMETER FILE=========================================

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Mt. Mandel
by Paddy Duncan 11 Dec '05

11 Dec '05

Hi All, Does anybody know where I can find the pars etc. for the above? It was in one of the Fractal Creations books some time in the distant past. Any help greatly appreciated. Paddy

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No FOTD until December 12
by Jim Muth 10 Dec '05

10 Dec '05

Fractal fans: Due to the continuing search for the new Fractal Central, there will be no FOTD until Monday December 12. Sorry about the let-down. Jim Muth

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FOTD 09-12-05 (Grandson of the Fractal [7])
by Jim Muth 09 Dec '05

09 Dec '05

FOTD -- December 09, 2005 (Rating 7) Fractal visionaries and enthusiasts: What comes after the son of the fractal? Why, the grandson of the fractal, of course. And unlike so many junky movie sequels, the third in the series is better than both of its predecessors. Today's image is the last venture into 'the fractal'. Once again, we find the scene lurking where the critical top fractal overlaps the non-critical fractal beneath. True, we went deeper than we should to find the scene, making the mathtolerance entry necessary, but the image still renders in a relatively fast 7-1/2 minutes. The image has been named "Grandson of the Fractal" so that everyone will know that it is the third of its line. The rating of an above-average 7 is what I think the image is worth. The finished GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Temperatures that never rose above freezing spoiled the sun here at Fractal Central on Thursday. The fractal cats checked the temperature then decided to spend the afternoon on their warm comfortable shelf by the window. My day was uneventful. The next FOTD will appear in 24 hours. Until then, take care, and be ready for the best. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Grandson_of_Fractl { ; time=0:07:25.90--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.00012589545750500/-0.104475908247942\ 80/1.593012e+013/1.0001/-42.2/0.01 params=1/2/-0.4\ /-0.8/0/0 float=y maxiter=1200 inside=0 logmap=138 periodicity=10 mathtolerance=0.5/1 colors=000G00K00O00S00W02`04dH6hK8lMAoPCqRErTGoRIh\ PKaOMVGPO9QNARNASNAUNAXNA_NAbNAeP8hR6kT4mU2or9qkGr\ dNsYUtR`uWYv_WwdTxhRyoPzsMzrKzoIzmKzhKrcKmZKhYKcZK\ ZZKUSKPMKUFKc9KmhKziKzjKzkKzlKzlCz`CzQCzECz3Cz6Ez8\ GzAIzCJzFLzHNzJPzLQzdIzxBziKzVTzHazNXzTSzYNzcIziLz\ nOztRzyUzqXzi_zaayVcxUewTgvSjuRmnQptPqrPoqPmpQkoRj\ nSimTilUkkVmjWoiXqhYsgPufHwe9ycFzaLz_QzXMzUIzRFzPB\ zQ8zRHzPQzOYzNHzdIzYJzRQzWXz`czejzj`zeRz`HzXczVgzR\ kzNozJpzHqzFrzDszCvzBxzBzzBzzHzzMzzRzzSzzSzzxzzizz\ Vzz4zzAzzszzIzzgzz`zzUzzNzzmzzwzzlzzazzRzzAzzDzzQz\ zLzzHzzGzzGzzGzzXzzSzzOzzKzzrzzhzzfzzPzz6zz9zzBzzE\ zzIzzHzzGzz1zz5zz9zzDzzHzzGzzAzztzmPzmMzmKzmIzmfzm\ jzm_zmQzmlzmWzmazmRzmEzmAzmCzmEzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 08-12-05 (Son of the Fractal [6])
by Jim Muth 08 Dec '05

08 Dec '05

FOTD -- December 08, 2005 (Rating 6) Fractal visionaries and enthusiasts: In yesterday's discussion I told the tale of a fractal, which in itself is nothing unusual. In that tale I told of a small part of a second fractal showing through the main fractal, and I commented that the second fractal was not critical. In today's image we inspect the area where interesting parts of the main fractal and the second fractal, the ghost fractal, overlap. I have named the image "Son of the Fractal", since it is a sequel to the original fractal that appeared yesterday. I have used virtually the same color palette as was used in yesterday's image, making only a few insignificant changes in the area of the central midget. The image rates a 6, at least in my opinion. The pattern around the midget combines Mandel and Julia elements in an arrangement pleasing enough to be worth the slightly above average rating. The render time of 9 plus minutes is still fast enough to avoid boredom. And the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> We are not yet finished with "The Fractal". Tomorrow's FOTD will feature still another venture into its depths. And after that . . . who knows . . . The celestial sun was in evidence here at Fractal Central on Wednesday, but the temperature barely reached freezing, which made things far too chilly for the sensitive ears and noses of the fractal cats. They were out only a few minutes before the chill got to them and they asked to come inside where it was warm. My day was notably average. The next FOTD will appear in 24 hours. Until then, take care, and a fractal a day keeps something away, but I'm not sure what. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Son_of_the_Fractal { ; time=0:09:23.37--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.14618502512720100/-0.705529663893672\ 30/1.453056e+009/1/-20/4.9495116441478082e-007 params=1/2/-0.4/-0.8/0/0 float=y maxiter=1600 inside=0 logmap=198 periodicity=10 colors=000G00K00O00S00W02_04c06i28mEApPCs`EvkGocIh\ WKaOMVGPO9QNARNASNAUNAXNA_NAbNAeP8hR6kT4mU2or9qkGr\ dNsYUtR`uWYv_WwdTxhRylPzqMzuKzyIziMzVPzWQzXRzYSzZT\ zZUzSTzMTzFQz9MzhKziKzjKzkKzlKzlCz`CzQCzECz3Cz6Ez8\ GzAIzCJzFLzHNzJPzLQzdIzxBziKzVTzHazNXzTSzYNzcIziLz\ nOztRzyUzqXzi_zaayVcxUewTgvSjuRmnQptPqrPoqPmpQkoRj\ nSimTilUkkVmjWoiXqhYsgPufHwe9ycFzaLz_QyXMxUIwRFuPB\ sQ8qRHoPQmOYmNHmdImYJmRQmWXm`cmejnj`oeRp`HqXcrVgsR\ ktNouJpvHqwFrxDsyCvzBxzBzzBzzHzzMzzRzzSzzSzzxzzizz\ Vzz4zzAzzszzIzzgzz`zzUzzNzzmzzwzzlzzaQzR`zATzDHzQK\ zLQzHPzGOzGNzGmzXfzS_zOTzKazrYzhUzZQzPez6`z9WzBRzE\ JzHKzKLzPHzUJzZKzcLzhlzmZzrPzvXzzrzzizzazzUzzXzzRz\ zPzzNzzZzz_zzczzgzzkzzozzszzwzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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