November 2009 - Fractint - mailman.xmission.com

FOTD 20-11-09 (Once Again Fractal [5])
by Jim Muth 20 Nov '09

20 Nov '09

FOTD -- November 20, 2009 (Rating 5) Fractal visionaries and enthusiasts: We seem to be stuck in a fractal lean period. An infinity of great fractals lie somewhere, waiting to be discovered, but I can't find a single one. Oh well, these slow periods seem to come and go. Sooner or later I'll find a super image. Today's image is simply average -- a minibrot that lies on the eastern edge of the curiously-shaped parent fractal that results when Z^2 is combined with Z^100 before C is added. This parent is shaped like a Mandelbrot set lying inside a Z^100 Mandeloid and partially obscured by it. Today's image is nothing that has not been seen several times before. I gave it a little extra coloring effort, not enough however to raise its rating above an everyday 5. The name is pure nonsense. The calculation time of 1-1/3 minutes will pass like a Leonid meteor, a few of which were visible here at FC this past week. The trip to the FOTD web site will be almost as much fun as a meteor storm. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and occasional rain spoiled Thursday here at Fractal Central. The temperature of 57F 19C was mild enough, but it's hard to be comfortable when rain is falling. The fractal cats, mascots of FC, slept through all of it. My day was uneventful. Could anything be less interesting than that? The next FOTD will be posted in 24 hours. Until then, take care, and why are we here in the Milky Way Galaxy instead of out there in the Andromeda Galaxy? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Once_Again_Fractal { ; time=0:01:19.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.07466919198208906/-0.027207195754955\ 13/3.353469e+011/1/-132/0 params=1/100/1/2/0/0/0/0 float=y maxiter=316 inside=0 logmap=60 periodicity=10 mathtolerance=0.05/1 colors=000UAzUAzSAwQAtOAqMAnKAkIAhGAeEBcDHcGNcITcL\ YcPcZUiUcoPmuKqzKryUrxcvwmuzzuzzuzzzsmzrczqYzpazod\ zngvmkrnnmmqmmtmonmohmncmmYjkTfiVcgX`eZYc_VaaS_cPY\ eLXfIVhFTjCRl9Pm6No3Lq0Kr1Kl2Kf3K`4KVzzPzzJzzEzzZz\ zYzzYzzYzzYzzYzzXzzXzzXzzXzzXzzWzzWzzWzzWzzWzzUdzz\ czzazz_zzZzzXzzVzzUzzSzzQzzPzzNzzLzzKzzVzzXzzhzzbz\ zzzzkzzezzazz9zzIzzQzz5zzFzzPzz_zzZzzNzzTzzzzcmzbg\ zRazFbzHczJdzLezMVzOLzQBzSJzOQzKczh`zTezsazZrzflzZ\ gzSbzLKzoOzeRzXVzNizoczX4ziJzUWzaXzUYzMQzGSzwNzPhz\ zbzafzbizjez_azP3zIOz5TzAWzAXzCZzpYzcYzRwzvjz_dzp`\ zXlzyhzmdza`zQIzJbzI`zGZzFAzFGzEMzESzEIzKQzHzzxrzl\ kz`dzPizEezEazEZzlYzVAzyMzauzlPzoSzbVzQkzjgzadzU`z\ MAzfGzZMzSSzLmzDgzEbzEbzlNzbRzUVzM2zRDzMOzICzdIzYN\ zRTzKZzmYzdYzWYzN6zXGzQPzK1zv0zh9z`HzTQzL1zs3zUJzM\ 4zvhzhdzY`zOlzrdzYAzrIzdQzRKz`lzwdz`uzb_zjZzazzUzz\ MTwr3z4HzWQzNxzGjzF2zuCz` } 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 19-11-09 (Error in Sight [5])
by Jim Muth 19 Nov '09

19 Nov '09

FOTD -- November 19, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's image is named "Error in Sight", which pretty much says all there is to be said about the image. For some reason, when I brought up the MandAutoCritInZ formula, I set the function to cosine instead of the intended reciprocal. I noticed the error at once when the resulting parent fractals, (there are a multi- tude of them), looked a little too good to be true. But right or wrong, at least one of the fractals demanded further investi- gation. A hasty search yielded today's image, which owes its effect to the 'outside' parts, which I rendered with the 'tdis' option in effect. With more time, I might have made more of this image, but as things went I had to settle for the image as it is. The rating of a 5 is average in every respect. I have posted several similar images over the life of the FOTD. The calcula- tion time of 1-1/4 minutes is reasonably fast. And if all else fails, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed without the hassle of calculating it. Ample sun and a temperature of 57F 14C made for contented cats here at Fractal Central on Wednesday. More work than could be comfortably handled in one day made the conditions less than contented for FL and myself. The next FOTD will be posted in 24 hours. Until then, take care, and if these FOTD images don't soon start getting better, I'll have to do something about it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Error_in_Sight { ; time=0:01:14.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=cos inside=0 center-mag=+2.152892856201255/+0.5682574252167707/\ 3.029e+008/1/52.5/0 params=1/1/1/-1/0/0/0/0 float=y maxiter=1500 outside=tdis logmap=yes periodicity=10 colors=000UJpVKbVKQWKDWK0`QLeWeiayjTyjKykByk2yi4uh\ 5rf7oe8lc9hbBe`Cb_D_`GaaIcbKdbMfcOgdQidSj`UlXWmTXn\ PZoL_pHaqDcr9ds5ft2guGafUXSgSDhQGiPIjOLjNNkMPlLSlK\ UmJXnIZnH`oGcpFepEgmIfjLegOdeRdbVc_YbY`bVcaSg`Qj`N\ m_KpZIsZHnYGjXGfWFaVEYUEUTDPSCLRCHQBCPA8OA4OM7NX9M\ hBLsDKpEJmEIjFHgFGdGFbGEfcfXHDUICRIBPJAMJ9JK8GK7DL\ 6BL6FK5IJ5LI5OH5RH5UG5XF5_E5bD5eD5zV5zoCyoJxpPxqaw\ rhwsquuuwwwkqz`nzQlzGkZ7aC8_D9YE9WEAUFATGBSGBQHCOI\ DMI0KJEIKEHKFELFDLLcJQzIPvJOrKNmLMiMLgMKeNJcOIaPH_\ QGYQFWREUSDSTCQUBPWIMZOKcVHh`FmgCrmAvt7zz5zw4zS9eP\ 9eM9dK9cHAbFAaCA`AA`F9_K9ZP8ZT8YY8Yb7Xf7Wk6WzPVzZV\ zPXwDYsG_oK`lNbhQcfUedXfb_g`ciZfjXilVmmTpoRkpQcqLc\ 2Oc3Rc4Tc5Wc5Yc6`c7be8eg8hj9jlAmnBopBrsCtuDwwEyyEw\ zHuzJszLqzNozPmzRkzTizVgzXfzZezaezcezeezhezjdzldzn\ dzqdzsdzudzwhzklz`ozPszEvz3qz9lzEgzKbzPYzUTz_OzdJz\ iYzjlzjizkfzlczmaznZzoWzp } 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 18-11-09 (Fractal Firework [4])
by Jim Muth 18 Nov '09

18 Nov '09

FOTD -- November 18, 2009 (4) Fractal visionaries and enthusiasts: Today's late, 4-rated fractal is an afterthought. I spent all my fractal spare time on Tuesday exploring fractal byways, and no time making a work of pseudofractal-art. So today's FOTD is presented as a scene I passed by in my explor- ations. I have posted it merely to have a FOTD for November 18. The scene lies at the eastern end of its parent, which is beyond verbal description. The image shows a quintic minibrot that appears to be spinning. I named it "Fractal Firework", leaving off the final 's' because it's worth only a single bang. The humble image may be seen by running the included parameter file -- at one minute it's a very fast one -- or by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But due to the unusual time of this posting, give Paul an hour or two to calculate and post it. Thick clouds obscured the sun all day here at Fractal Central on Tuesday, but no rain fell, and with a temperature of a mild 54F 12C, the day was not all that unpleasant. The fractal cats slept through most of it. My day was uneventful. The next FOTD, almost certainly with a higher rating, will be posted in around 12 hours. Until then, take care, and be fortuitous. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Firework { ; time=0:00:59.96-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.4955398800209755/-0.0000020712948052\ /8.205128e+010/1/-35/0 params=5/-6 maxiter=1500 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000hIjjFjlBio7iq3is0iiDl_QoQbrHntLorOoqRppV\ poYqn`qmcqlbokbnjamjakiaji`ih`hh`fg_eg_df_bfZaeZ`e\ Z_dYYdYXcYWcXVbXTbXSaWRaWP`WO`VN_VM_VKZUJZUIYUHYTJ\ XTLWTMVTOUTQTTRSTTRTURTWQTYPTZOT`NTaMTcLTeKTfKThJT\ iITkHTmGTnFTpETqESmDSiCSfBSbASZ9SW9SS8SO7SL6SH5SD4\ SA4RC6QE8QFAPHBPIDOKFOLHNNIMPKMQMLSOLTPKVRKWTJYVJZ\ WHW9GVBGUDGTFGSHGRJGQKGPMGOOGNQGMSGLTGKVGJXGIPGHRG\ GTGFUGEWGDYGC_GBaGAbG9dG8fG7hG6iG5iF4gE4dD4aC3ZB3W\ A3TA3Q92N82K72H62E51B518415312210200100503rN4mK3hI\ 3cG2ZD2NTMIUVDVb8VjGVeOV`WVXcVSkVNsVJl_FedC_h9aeCb\ cFcaIdZLeXOgVRhSUiQWjOZkLamJdnHgoEjpCmqAotBlvBixBf\ zBdyJayQ_xXXxcVwjSwqQwxOpqLjjIddFZYCSR9ML6BE358158\ 14814714714714613613613513513512402402402302301301\ 20120120110010010000000000jCRgBPeAOcANa9M_9LY8JW8I\ U7HS7GQ6FO6EM5CK5BI4AG49E38C37A25824613412201uqLpm\ JliIheGdaFP`CQX9RU7SR5NSE } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 17-11-09 (Caught in the Deep [7])
by Jim Muth 16 Nov '09

16 Nov '09

FOTD -- November 17, 2009 (Rating 7) Fractal visionaries and enthusiasts: I'll not wander into abstruse metaphysical speculation about what is going on in today's fractal. I'll merely state that whatever it is, it makes an interesting effect and a not-too-bad piece of pseudo-fractal art. The unlikely value of the second parameter is critical, as a small change will demonstrate. The value of the first parameter is also critical, though in a different part of the parent fractal. The name "Caught in the Deep" came to mind when I shut off my mind, which is not as hard to do as it might appear. The rating of a 7 indicates an image that is somewhat interesting as well as a bit artistic. The calculation time of under 1-1/2 minutes indicates that little time will be wasted if the result fails to satisfy. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image eliminates all possible chance of dis- satisfaction. Tons of sun flooded Fractal Central on Monday. When the temp- erature reached 55F 13C the fractal cats said it was absolute perfection and curled up together on the shelf in the sunny southwest window. My day was average. I realize this is rather boring, but that's the way of it sometimes. The next FOTD will be posted in 24 hours. Until then, take care, and never give up the search for the light regardless of how you define the 'light'. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Caught_in_the_Deep { ; time=0:01:27.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.75467608253/0/876688/1/90/0 passes=1 params=0.000001/1001.5 float=y maxiter=1500 inside=0 periodicity=10 colors=000zidzigzikzinziqzitzhqzgnzflzeizdfzcdzbaz\ aZz`Xz_UzZRzYPzXMzXKzZNz`PzbRzcTzeVzgXziZzj`zibzid\ zifzihzhjzhlzhnzhpzhrzflzdfzb`z`VzZPzYKzYKzXJzXJzX\ JzXJzXJzXJzXJzWJzWJzWJzWJzWJzWJzWJzVIzVIzVIzVIzVIz\ VIzVIzVIzVIzUIzUIzUIzUIzUIzUHzUHzTHzTHzTHzTHzTHzTH\ zTHzTHzSHzSHzSHzSHzSGzSGKSGKRGLRGLRGLRGKRGKRGKRGKQ\ GJQGJQGJQGJQFJQFIQFIQFIPFIPFHPFHPFHPFHPFGPFGOFGOFG\ OEGOEFOEFOEFOEFNEENEENEENEENEDNEDNEDNEDMEDMDCMDCMD\ CMDCMD4K93K92KA1KA1KA7KDCKFHKHMKKRKMXKObUQcUTcUVcU\ XcUZcU`cUagcccedZfeVggQhhMiiHjkKklPmmUlgZkbclYhkTm\ lNrkIvlDzk8zm3zkAzjGziMzgSz`Yz_czZivXerWamVYmUUmTR\ mSNmRJmQFmPCmRDmTEmVFmXGmZHm`ImbJmdKmeKm_LmUMmONmI\ OmCPm6Qm5Om5Mm5Km5Im5Gm5Em5Cm5Am58m56m54m5Am5Fm5Km\ 5Qm5Vm5_m5dm8fmBgmEhmHimKkmNlmQmmTnmVomTemRWmQMmOC\ mN3mP4mQ5mR6mS6mT7mV8mW8mX9mYAmZAma8md7mg5mj4mi8mi\ BmiEmiImiLmiOmiSmiVmiYmia } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 16-11-09 (The Future Evils [7])
by Jim Muth 16 Nov '09

16 Nov '09

FOTD -- November 16, 2009 (Rating 7) Fractal visionaries and enthusiasts: As feared, or rather, as expected, FL and I went on an antiquing expedition Saturday. We found nothing of irresistible interest, though the day was still actually rather pleasant. But unfortu- nately, we returned too late for a proper FOTD, and as a result I posted no FOTD for November 15. Instead, I spent the evening watching the junk on cable TV. Remembering the laughs I had while watching the end-of-the-world shows on Saturday evening, I named today's image "The Future Evils". There does appear to be something vaguely sinister about the image, which exists in a parent fractal shaped much like an oversized flying wing, with a proper-sized Mandelbrot set at its origin. Actually, the pointed, branching elements around the minibrot remind me of the surreal backgrounds of the old 'Samurai Jack' cartoon series. The image was created by a mixture of Z(-1.5) and Z^2, and lies on one of the branches of the infinitely-divided main stem of the Mandelbrot set at the center of the parent. The rating of a 7 seems about right for today's FOTD image, standing flatly as it does in glorious two dimensions. After the 18-minute calculation time of the FOTD for November 14, today's time of 20 seconds will seem to exceed the speed of light, hopefully without the contradictory effects of relativity. Perhaps not quite the fastest but the most entertaining way to see the image is to forget the hassle of calculation and surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted already calculated for immediate and totally overwhelming satisfaction. Heavy clouds hung tough on Saturday, but for the most part it stayed dry. With the lack of sun, the temperature of 61F 16C was a bit too chilly to keep the fractal cats contented. On Sunday there was a big improvement, with lots of sun and a temperature of 68F 20C, which pleased the cats greatly. The next FOTD will be posted in 24 hours. Until then, take care, and are we in the universe or is the universe in us? Or is this just two different ways of saying the same thing? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Future_Evils { ; time=0:00:20.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y passes=1 center-mag=-20.105342042/+0.192308779/\ 1084/1/180 params=-1.5/500000 maxiter=1200 inside=0 logmap=37 periodicity=10 colors=0005A8JA6RAS_OWmQ_zTczVgzZzzbzYzzPzzGz`7z_8\ mZ9jYAfYAcXB`WCXWDUVDRVINUNKTSHSRJTQLUPNUPOVOQWNSW\ MUXMVXPRVRNUTJTVGSYCR_8Qa4Pc1Of6NiANlENoINrMMuQMxU\ MzYMhZZR_k9_x8Xu8Vr8So8Qm8Nj8Lg8Id8GbMMa_SamY`zc`v\ hbrldnpfjthfxjnEGoNOoWWpdbpmjpuqqpnrlksgitcfuZdvVa\ wR_vQcvPfvOjxNmzMpzckz_hzWezSbzO_zKXzGUzCRz8OzEWzK\ czQkzWszbjzhazoTzuLzlHzcEzVBzWFzXJzYNzZRz_Vz`Zzaaz\ bazc`zd_zZFz_Hz_Iz`JzFHzHIzIKzKLzMMzONzPPzzQzzRzzT\ zzUzzZzzVzzXzzYzzZzzZzz_zz_zz_zz_zz_zz_zz_zzczzbzz\ bzzbzzbzzbzzbzzazzazzazzazzazzazz`zz`Fz`Gz`Hz`Iz`J\ z_Kz_Lz_Mz_Nz_zzQpzTfzVXzYpzikzgfzeazdXzbSz`TzRSzS\ SzSSzSSzTSzTRzTRzURzURzURzVRzVQzVQzWQzWQzWQzXPzXPz\ XPzYPzYPzYPzZOzZOzZOz_Oz_Oz_AzhBzgCzgCzfDzfEzeEzeF\ zeGzd_zhZzgZzfYzdYzcXzbXzaUz7gzFuzNtzdeznSzwVzsYzo\ _zkbzgezcgz`QzTMzOJzJGzEJzHLzKOzMQzPTzRVzUZzUYzSXz\ QWzOVzMUzKSzIOzGKzEFzCAzA } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 14-11-09 (Dancing in Darkness [7])
by Jim Muth 14 Nov '09

14 Nov '09

FOTD -- November 14, 2009 (Rating 7) Fractal visionaries and enthusiasts: I'm writing this on Friday the 13th, a supposedly unlucky day. I think the bad reputation came about when, on this day six- or seven-hundred years ago, the king of France ordered the Templars to be eliminated. The day is probably no more unlucky than any other day. I also still hear rumors that the world will end in December 2012. I think both Nostradamus and the Mayans predicted it. Of course, Nostradamus's writings are so ambiguous that they can be made to have predicted anything desired, just as long as the event has already happened. And as for those Mayans -- I think they had a calendar that ran in repeating cycles of 5000 years or so, and not in the linear way we keep track of our time. One of the Mayan cycles is supposed to end in December 2012, and a new cycle is supposed to begin. I doubt that they expected the entire world to end. At any rate, all the end-of-the-world stuff on TV and in the movies will certainly help sell the sponsors' products. Today's image lies in the 'Seahorse Valley' of the parent fractal that comes about when the formula Z^(1.618034)+C is iterated 33 levels up the logarithmic ladder and the reciprocal function is applied. (I used this function by mistake, but the result is still worth the effort.) I named the image "Dancing in Darkness" because this phrase was the first thing that came to mind when I turned off my thoughts. The rating of a 7 was earned when I livened up the colors a bit in a separate graphics program. Unfortunately, with a calculation time of a full 18 minutes, the image is quite slow. But fortunately, the finished product is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I see that the 3-D fractals on the web are wowing the fractal- ists on this list. I checked the images, which are impressive indeed. They remind me of the ink-blot images created by the artist Max Ernst. The type=julibrot in Fractint also draws 3-D fractals, but this type is so slow that I rarely check it. I wonder what could be done with it -- most likely nothing close to those surreal 3-D images on the web. Friday here at Fractal Central featured variably cloudy skies and a temperature of 63F 17C, which made the fractal cats happy. The unexpected amount of work left me with mixed emotions. The next FOTD is due to be posted in 24 hours, but FL is getting an antiquing look in her eye, and if an unexpected expedition develops on Saturday, the FOTD for November 15 might be late. Until whenever, take care, and now that we've seen the 3-D Mandelbrot set, let's see the 4-D Julibrot. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DancingIn_Darkness { ; time=0:18:06.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip inside=0 center-mag=-0.483202805468211/+0.5648328233695159/\ 3.24576e+011/1/-40/0 params=1.618034/0/33/0 float=y maxiter=32767 periodicity=10 mathtolerance=0.05/1 colors=000PPePPePSePSePUeNXgPSeSUbUUbXX__X___Xb_Ue\ bUgbSjeS0Fz0Fz0Iz0Kz0Nz0Nz0Pz0Sz0Sz0Uz0Xz0_z0_z0bz\ 0ez0ez0gz0jz0mz0mz0pz0rz0uz0pz0pz0pz2pz4pzApzCpzIp\ zKpzPpzSpzXpz_pwepugppmpmppjupgwpezpbzp_zzmzzhzwcz\ tNzrKzqIzpFzmAzmFzjIzgIzeKzbNu_NpUPgSPbPSUNUPKUIIX\ CF_4A_07b04b02e00g00g00j00m00g00e00_00X00U00P00N00\ K00F00C00A204702A00C00F00I00N00P00S00U00_00b00e00g\ 00m00m00j00g00e00b00_00X00U00S00P00N22K47I4CF7IC7K\ AAP7AU4C_4Fb2Fg0Im0Ip0Ku0Nz0Nz0Pz0Pz0Sz0Sz0Uz0Xz0X\ z0_z0_z0bz0ez0ez0ez0ez0gz0gz0gz0gz0jz0jz0jz0jz0mz0\ mz0mz0mz2pz4pz7pzArzCrzFrzIrzKuzNuzPuzSuzUwzXwz_wz\ bwzezzgzzjzzmzzpzzrzzuzzzzzmwzgpzbgrX_gSSXNKNICCC4\ 2400IFCKKAKNANS7PX4P_4Se2Uj0Um0Xr0_w0_z0bz0ez0ez0g\ z0jz0jz0mz0pz0mz0jz0jz0gz2gz7ezCeUKbOPb7U_0__0eX0j\ U0r_0e_0e_0e_0e_0eX0eX0eX0eX2eX2eX4eU4eU7eU7eUAeUC\ eUCeSFeSFeSIeSIeSKeSNePNe } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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] The Real 3D Mandelbrot Fractal
by JackOfTradeZ＠comcast.net 14 Nov '09

14 Nov '09

. Some of those images look awesome! Some are actually not-so-pretty. Very interesting thread on the Fractal Forums, it will take me a while to wade thru it all.... Anyone gets one of the formula to work in fractint (try to format in a FRM file), lemme know so I can try to animate it. JoTz .

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The Real 3D Mandelbrot Fractal ?
by Maryetta Campbell 13 Nov '09

13 Nov '09

Anyone on this List been following the latest search for the real 3D Mandelbrot fractal? If not, here might be a good place to start off with: http://www.skytopia.com/project/fractal/mandelbulb.html There are many links through the two page article for further information and viewing.

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FOTD 13-11-09 (Alto-Cumulufractal [8])
by Jim Muth 13 Nov '09

13 Nov '09

FOTD -- November 13, 2009 (Rating 8) Fractal visionaries and enthusiasts: I enjoy pictures of imaginary scenes on other planets, and today's image certainly could be such a scene. I have posted several similar images over the 12-year history of the FOTD, but as far as I can remember none of them have had a sky filled with altocumulus clouds or foreground rocks with such texture. The name "Alto-Cumulufractal" refers to the appearance and colors of the sky and rocks, which I actually did put some extra effort into. The rating of an 8 might be a bit liberal for an image so similar to several earlier images. I like it however. The parent fractal closely resembles the default Z^(2.5)+C Mandeloid. Today's scene is located in a tiny valley very near the X-axis, at the western edge of the fractal. The clouds in the image sky are more interesting than first meets the eye. I'm not sure if any minibrots lie in the clouds, but I might check the area a bit after posting this FOTD. The calculation time of 6-1/3 minutes is reasonably speedy. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the completed image is even speedier. A cloudy, chilly but dry day here at Fractal Central on Thursday made little impression on the fractal cats, who spent a good part of the afternoon trying to get an early tuna treat, while the temperature of 55F 13C kept the FC heat running. The cats finally discovered the heat and remained snugly warm until treat time arrived. My day was average, which means there was nothing to note in my journal. The next FOTD will be posted in 24 hours. Until then, take care, and why is it so hard to keep a positive attitude in such a negative world? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alto-Cumulufractal { ; time=0:06:20.73-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.320354892564229/-0.00001604110502265\ /467622/1/-12.5/0 params=2.5/1 float=y maxiter=1500 passes=1 inside=255 logmap=513 periodicity=10 colors=000FFVEFWEGWEGXEGYEHZEHZDH_DI`DIaDIaDJbDJcC\ JdCKdCKeCKfCKgCKgCKhBKiBKjBKjBKkBKlBKmAKmAKnAKoAKp\ AKpAKq9Kr9Ks9Ks9Kt9Ku9Kv8Jw9Kv9Kv9Lv9Lv9Mu9Mu9MuAN\ uAOtAPtAPtAQtAQuAQuBRuBRuBTuBTuBTuBUuBUvCVvCVvCWvC\ XvCXvCYvCYvDZvDZwD_wD_wD`wDawDawEbxEbxEbxEcxEcxEey\ EeyFfyFfyFfyFgzFgzFhzFhzGizGizGhzGizGizGjzGjzGjzHk\ zHkzHkzHkzHlzHlzHkzIlzIlzImzIlzImzImzImzJmzJmzJnzJ\ nzJnzJozJozKpzKpzKqzKqzKqzKrzKrzLszLszLtzLtzLtzLuz\ LuzMvzMvzMvzMwzMwzMxzMxzNyzNyzNyzNzzNzzNvzNvzMwzNv\ zNvzNvzNvzNvzNvzzvzNvzNvzzvzNvzNvzzuzNuzNuzNuzNuzz\ uzzuzNuzzuzzuzNuzzuzNtzztzztzNtzztzztzNtPztzNtOztz\ NtNztzNsNzszNsMzszNsLzszNsLzszNsKzszNsJzszNsIzrzNr\ IzrzNrHzrzNrGzrzzrzzrzNrFzrzNrEzqzNqDzqzNqCzqzNqCz\ qzzqzzqzzqzzqzzqzzpzAgc9lcPdjdbqehpedpeipeepehpjio\ flufhofhofiofnnfdnfonUpngknglmgrmgmmgsmgnmfolegkdh\ jdeicbhbZgaWfaTe`Pd_McHHO } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 12-11-09 (Is it Beautiful? [6])
by Jim Muth 12 Nov '09

12 Nov '09

FOTD -- November 12, 2009 (Rating 6) Fractal visionaries and enthusiasts: I rated today's image at a 6, though I can really see nothing in it that might earn such a rating. The image is a hopelessly scrambled scene in the Z^(1.618)+C Mandeloid as it appears 34 levels up the complex logarithmic ladder when no function is applied. The parent fractal is shaped like a rough M-set with the largest bud facing southeast. A blunt valley lies on the southeast edge of this large bud, roughly dividing it in half. Today's scene shows the chaotic detail surrounding a tiny minibrot near a larger minibrot located moderately deep in this valley. The name "Is it Beautiful?" expresses the way I feel about most scenes in the Mandeloids with exponents between 1 and 2. The image certainly is chaotic enough, but is it beautiful? Well, they say that beauty lies in the eye of the beholder, so I guess it's up to the individual viewer to behold the image and decide. The decision can be made easier by running the included para- meter file and waiting 8 minutes. The easiest way to see the image is to view it in finished form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a temperature of a chilly 54F 12C kept a damper on things here at Fractal Central on Wednesday. The fractal cats checked the conditions once or twice, then decided to devote their energy to getting food. For me it was an average day. The next FOTD will be posted in 24 hours. Until then, take care, and things have to get better because they couldn't possibly be worse. . . . (Want to bet?) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Is_it_Beautiful? { ; time=0:08:48.29-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.903303708209915/-0.6131802932418218/\ 7.733648e+007/1/2.5/0 params=1.618/0/34/0 float=y maxiter=12000 inside=0 logmap=886 periodicity=10 colors=000ck0J_IDaN8bS3cW2_T2XQ2UN1QL1NI1KF1HC0DA0\ A70740421GD1SN1bX1_Q1YJAXNJWRSVV`UZiTbrSfzRiyRgyRe\ yRdxRbxR`xR_wRYwRXwRVvRTvRSvRQuROuRNuRLuRKrUMpWOmZ\ Qk`RicTfeVdhWbjY_m_YoaWrbTtdRwfPygbDtgGjkI`pLStNIx\ P9tQDqRGnSKjTNgURdVU`WXYX`VYcRZgO_jL_mJYdIXXGWOFVG\ M_JTdL_hNfmPmqRtvTzzVzzUzzTzzSzzRzzBzzKzzTnp`tpizp\ quorqnsmnthmudlv`lvZmrYzoXzkWzhVzdUzaTzYOzeUzfzzgz\ zhzzizzjzzkzzjzzjzzizzizzhzzhzzgzzgzzczz`zzYcWcCUU\ CUUGUUJUZMKMPL9NJCMIFLHHKFKJENHDPGBSFAUE9UcTUUUUcU\ UUUUcUUUUUcUUcUUO3AN69M89LA9KC8JE8IG8HI7GK7FM7FO7X\ dLnuZ`kPOaFRaETaEWTAYXD_aDbaDdaCfaCiaCkQBnaBpaBraA\ uaAsYAyaAwZ9uW8sT8rR7oO7nL6lJ6kG5iD4gA4f83e53d22c0\ 2d53eA3e43fF3fK4gP4hU4jZ4lc4mh5omzom5pmzpm5jm9emz`\ mGWmKzmzzmRzmUzmz7m`zm_zmzzmYzzzzzXzzzzzVzzzzzUzzz\ zzSzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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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