May 2009 - Fractint - mailman.xmission.com

experimental fotd feed
by Richard 17 Jun '10

17 Jun '10

<http://www.xmission.com/~legalize/fractals/fotd/test/index.html> Yes, there are gaps. xfractint doesn't always succeed in rendering. Comments? -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

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Re: [Fractint] Diode
by JackOfTradeZ＠comcast.net 16 Jul '09

16 Jul '09

Brings back memories - I'm an electronix tinkerer from way back, nothing recent though, just computers etc. "" Why attempt this ; because a better , more interesting insight might be obtained . Has anyone on this list delved into this ?"" If anyone can code the diode equation into something the fractint formula parser can understand, and make a "diode" fractal, and it loox cool enuf, I will try to animate it. It seems that many natural phenomenon, (like chemistry, my profession), can be modelled to some extent with fractals, often leading to interesting and unexpected results. stay amazed!

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FOTD 31-05-09 (A Bud in Trouble [No Rating])
by Jim Muth 31 May '09

31 May '09

FOTD -- May 31, 2009 (No Rating) Fractal visionaries and enthusiasts: There are many Julia sets but only one Mandelbrot set. Not true. Just as there is a unique (totally perpendicular) Julia set associated with every point of the Mandelbrot set, there is a unique (totally perpendicular) perturbed Mandelbrot set associated with every point of every Julia set. But this four-dimensional stuff is best left for another day. Today we have a hastily-found scene in what is left of Seahorse Valley of the perturbed Mandelbrot set with an initial Z value of 0.6669953+0.6670071i. The obvious ghost bud in the background is almost totally obscured by a spectacular foreground spiral. I named the image "A Bud in Trouble" because of the distressed bud. Since I have done this type of image so many times in the past, I gave it no rating. The calculation time of 37 seconds can hardly be beat. The trip to the FOTD web site also is hard to beat. The web site may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats enjoyed the near perfect weather here at Fractal Central on Saturday, while FL and I enjoyed an antiquing trip. The total sun and temperature of 77F 25C was perfect for almost any activity, indoors or out. The next FOTD will be posted in about 18 hours. Until then, take care, and wonder why the world is the way it is. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Bud_in_Trouble { ; time=0:00:37.36-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y center-mag=-0.7526914332/-0.0383381323/44718.06/1/\ -121/0 params=0.6669953/0.6670071 maxiter=150000 inside=255 logmap=-500 colors=000KAAKAAKAAKAAKAAKAAKAAKAAKAAKBAKCAKDAKEAK\ FAKGAKH9KI9KJ9KK9JL9HM9GN9EO9DP8BQ8AR88S87T85U84V9\ 3VC6XF9YIC_LE`OHbRKcUNdXPf_SgbVieYjh_kkXinVgqSetQc\ wNkzLjzIhzGfzDdzBczFcz9cz1cz3cz5cz7cz9czBczDczFczH\ mzJmzLmzNmzOmzQmzSmzUmzWmzYtz_vzayzczzezzgzzhzzamz\ VmzOmzImzKmzLmzMmzNmzOmzPmzQmzSmzTmzUmzVmzWmzXwzYw\ z_wz`wzawzbwzcwzdwzjwzewz`wzWwzRwzMwzJwzIwzHwzGwzG\ wzFwzEwzDwzDwzCwzBwzAwzAwz9wz8wz8wzAwzHwzIjzJlzJmz\ KozLqzLrzMtzMuzFazHczJdzLezNfzPhzRizTjzVkzXmzZnz`o\ zbpzdrzfszhtzjuzlwznxzpyzuzzrzzpyznxzkwzivzguzdszb\ rz`qzZpzWozUnzSmzPkzNjzLizIhzGgzEfz7gzCezHczLbzQ`z\ VZzZYzcWzeSzgVzhXziZzj`zkbzmdznfzoizpkzqmzsoztqzus\ zvuzwwzxpzxjzxdzxZzxTzxNzxHzxBzvCztCzsDzqDzpEznEzl\ FzkFziGzhGzfGzdHzcHzaIz`IzZJzXJzWKzUKzTKzUPzUTzUYz\ UazUfzUjzTnzUnzVnzWnzXnzXnzYnzZnz_nz`nz`nzanzbnzcn\ zdnzdnzenzfnzgnzgnzfizzzc } END PARAMETER FILE=========================================

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FOTD 30-05-09 (Beyond Redemption [7.5])
by Jim Muth 29 May '09

29 May '09

FOTD -- May 30, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a variation on the theme of Z^(3.5)+C. The parent fractal is a Mandelbrot set with chewed-up buds. Today's scene is found on the western side of the Seahorse Valley of the parent fractal, which is curved in toward the main bay. I named the image "Beyond Redemption" for no particular reason. Then I rated it at a 7-1/2. I really did put some extra effort into the coloring. Most of the effect is a result of rendering the image with the inside set to fmod with a proximity of 0.035. The calculation time of 1-5/6 minutes is well with the realm of reason of even the most devoted rationalists. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image there is equally reasonable and a lot more fun. Almost 3 inches (7cm) of rain fell here at Fractal Central on Thursday night, but Friday turned sunny and warm. When the temperature reached 79F 26C, the fractal cats turned quite happy and attacked their catnip toys viciously. My day was normal -- neither good nor bad. The next FOTD will probably but not certainly be posted in 24 hours. Until then, take care, and I saw on one of those pop-science TV shows that we are no more than the string of our memories. Somehow, this still leaves me wondering what we are. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Beyond_Redemption { ; time=0:01:53.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot passes=1 function=recip center-mag=-2.330270308555342/+0.1626775182503306/\ 5765275/1/-85/0 params=3.5/3.5 float=y maxiter=1500 inside=fmod proximity=0.035 periodicity=10 colors=000clzcmzdmzdnzenzeozfpzfpzgqzgqzhrzhrziszi\ szjtwjstksujqwkqukqskprkppkookomlnllojloilpglpfzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzyzyxzxwzwtzuqzsnzqkzo\ hzmezlbzk_zjXziUzhRygOwfLueIsdFqcEobEmaEk`Dj_DiZCh\ YCgXCfWBeVBdUBcTAbSAaR9`Q9_P9ZO8YN8XM7WL7VK7UJ6TI6\ SH5RG5QE5PD4OC4NA3MB4LB4KC5KC5KC6KB6KB7KA7KA7K98KA\ 8K99K99K9AKAAKBAKEBKGBKHCKJCKJDKKDKLEBMEBOEBNFCOFC\ OGCPGCPHDQHDQHDQIERIERJESJESKFTKFTLFULGULGVMGVMHWN\ HWNHXOHXOIYOIYPIZPJZQJ_QJ_RK`RK`SKaSKaSLbTLbTLcUMc\ UMdVMdVLcUMdVMdVMdVMdVMdVMdWMeWMeWMeWNeWNeXNeXNfXN\ fXNfXNfYNfYNfYOgYOgYOgZOgZOgZOgZOhZOh_Oh_Oh_Ph_Ph_\ Ph`Pi`Pi`Pi`Pi`PiaPiaQjaQjaQjaQjbQjbQjbQkbQkbQkcRk\ cRkcRkcRlcRldRldRldRldRldWndTmdRldPkWNjNLiEGl4Ij5J\ h5Kg5Le5Md5Nb5O`5P_5QY6RX6SV6TU6US6VQ6WP6XN6YM6ZK7\ _J7`H7aF7bE7cC7dB7e97f87g98gA9hA9hBAhCAXXbYXcYYcZY\ d_Ze__e`_f``ga`gaahbaibbi } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 29-05-09 (Deep in a Lost Valley [7])
by Jim Muth 29 May '09

29 May '09

FOTD -- May 29, 2009 (Rating 7) Fractal visionaries and enthusiasts: Sometimes I get an urge to return to the beginning, so in today's image we return once more to the greatest of all fractals, the Mandelbrot set, where we check rather deep in the second valley inside a tiny bud on the northern shore line of the third bud out the negative stem. With the ultra-fast math of the type=mandel, (I think it uses pure machine language.), the image finishes in a mere 13 seconds despite the maxiter of 32767. (This was the maxiter limit of the first version of Fractint I tried.) I named the image "Deep in a Lost Valley", which describes its location quite accurately. Considering the dark colors and somber mood, the rating of a 7 could be a bit liberal, but that is what I think it's worth. The calculation time of 13 seconds seems almost impossibly fast. That's how fast the parameter file runs on the P4-2000mhz unit however. Out of curiosity, I checked the time on the old 200mhz machine and found it to be 3-1/2 minutes, about 16 times slower. This means the type=mandel algorithm works especially well with the P4-2000mhz processor. (Strangely, type=formula images run only 4 times as fast on the 2000mhz unit.) Why not forget all this nerdy stuff and trek out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the completed image in total comfort there. Heavy clouds and frequent showers spoiled the very pleasant temperature of 75F 24C here at Fractal Central on Thursday. The fractal cats were more concerned with the unwanted stray cats prowling the area than with most of the day's weather, but when the showers culminated in a heavy thunder-shower at 8pm, they grew a bit apprehensive. My day was about average. The next FOTD will be posted in 24 hours. Until then, take care, and despite appearances, I'm not really that much of a nerd. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DeepIn_A_LostVally { ; time=0:00:13.12-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.3819196009748/+0.014504692704645/\ 6.637531e+009/1/140/0 params=0/0 float=y maxiter=32767 bailout=9 inside=0 logmap=-3314 periodicity=10 mathtolerance=0.05/1 colors=000XqvWqvVqvVpvUpvTpvSovRovRnvQnvPnvOmvNmvN\ mvOksOipPgmPejQcgQadR_aRYZRWWSUTSSQTQNTOKUMHUKEUJC\ SIBRHBPG0OF0ME0LE0KD0IC0HB0FA0E90D90B80A7086075065\ 0GA0mUOzwYzrczmmvjhrgcmdZhaUcYQZXPUWOQVNNUMOUKOTJO\ bIOjHPfGPcFPVEPSDQMCQLBQKAQK9RJBSQzSczTUzTKzUFzVEH\ VEIWDJWCKXBLYBMYANZ9OZ9Pa8Nd8Lg8Jj8Hm8Fp8Ds8Bv89kE\ 8`J8QP8GU8FZLEcXEghFdfGbeH`dIZcIXbJVaKS_LQZLcYMcXN\ cWOcVOcUScSWcQZcPbczecziczmczpcztczwczwczzczzczzcz\ zczzczzczzczzczzczzcLzcMzcOzcPzcRzcSzcUszzzzXzzYzz\ _zz`zzbzzczzezzfzzdzzczzbzz`zz_zzZzzXtzztzztzztzzu\ zzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzFzzEzzEzzDzzC\ zzBzzAzz9zz9zz8zz7zz6zz5zz5zz6zz7z78z99zAAzCBzDCzF\ DzGDzIEzKFzLGzNHzOIzQJzRKzTLzULzWMzYNzZOz`PzaQzcRz\ dSzfTzgTzfSzeRzdRzcQzbQzaPzaPz_OzZNzXMzWLzUKzTJzRI\ zQHzOGzNFzLEzKDzICzHBzFAzE9zC8zB7zEAzGCzJFzLHzOJzQ\ MzTOzVQzYTz_VzbXzd_zgazic } END PARAMETER FILE=========================================

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FOTD 28-05-09 (Fiery and Furious [7])
by Jim Muth 27 May '09

27 May '09

FOTD -- May 28, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the same parent fractal that held yesterday's image. But today, instead of checking the northwest shore line of the southernmost bay, we check the area around a small bud on the west shore line of the middle bay. What we find there is of mild to moderate interest, a scene which, in my opinion, rates a 7. I named the image "Fiery and Furious", but even though it's a rather fiery scene, I can find nothing very furious in it. The calculation time of 2-1/2 minutes will pass in the blink of an eye, which is probably around 1/25 of a second. This means that around 3,750 eye blinks will be required to finish the calculation. With this many blinks in mind, I recommend going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and saving those blinks by viewing the already-finished image posted there. The rain ended and the temperature rose to a more seasonal 64F 18C here at Fractal Central on Wednesday. But the heavy low clouds hung tough and the fractal cats showed their displeasure. As for work, I finished it in half a day. FL spent a good part of the day working in the garden. The next FOTD will be posted in 24 hours. Until then, take care, and be of sound mind and light body. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fiery_and_Furious { ; time=0:02:35.53-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.4326946656431548/-0.578103614769745/\ 316648.8/1/132.5/0 params=-5/-1.5/-1.5/-5/0/0/0/0 float=y maxiter=3200 inside=0 periodicity=10 colors=000xR7xN7wQ7wQ7vP7vP7vN8uO8tN8tN8sM8tM8sL8p\ L9rK9qK9rJ9pJ9nI9oIAoHAoHAnGAlGAmFAmFAmEBlEBkDBkDB\ jCBkCBiBCiBChAChACi9Cg9Ch7Df8Cg9CjABiABiBBjCAkCAlD\ 9mE9hF6pE7oE8kE8mE9hD9jDAiDBhDBgDCeCCdCDcCDdCEaCF_\ BFZBGYBG_BHWBIUAITAJSAJRAKP9KO9LN9MM9ML9NJ8NI8OH8P\ G8PF8QD7QC7RB7RA7S97T76T66U56U46V25U36V36V36V37W47\ W47W48X48X48X59Y59Y59YCAZKAZ6EZ6B_6B_MFYUK`BP_6B_d\ FYGJXcUVPXUUUSoYRb`PmcOlZMrjMtkLtkLwiKv_KwkKxkJylJ\ zlIzfIzlIzlHzlHzmGzmGzmGzmFzmFznCzmEzmFzlGzlHzkIzk\ JzjKzjLziMziNwhOwhPwgQwgRwfSmfTmeUmeVmdWmdXgcZgc_g\ b`hbahabhaci`di`ei_fi_gjZhjZijYjkYkkXlKAKlWnlWoQAN\ mUpKAKmUqmUqPANkUnKAKjSjjRgOAMiPcKAKhNZhMXNALiLWKA\ KgKVfKUMAJcJTKAKaIS`IRLAHYHQKCKWGPVFOKAFSFNLEFQEMP\ DLJAGNCKLCGKCJJBIHBFHAHWAGE9GD9FC9FB8Ec8D87D77C66C\ 56Bi5A46B77CB7CE8Do8DL9EP9ESAFWAFuBGbBGeCHiCHlDIyH\ IrY8sX8tV7tU7zM7uR7vQ7yS6 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 27-05-09 (Elusive Flutterby [7.5])
by Jim Muth 26 May '09

26 May '09

FOTD -- May 27, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image came about when I took a second look at the parent fractal that results when various portions of negative 1.5 and negative 5 are combined and (1/C) is added. Like most fractals that combine negative exponents, this parent is beyond descrip- tion, though it is quite simple to reproduce. I chose to investigate a tiny valley on the northwest shore line of the southernmost large bay, which appears to have the best developed Mandelbrot characteristics. In a matter of minutes I found a minibrot very near the limit of resolution, which became today's FOTD. I named the image "Elusive Flutterby" when for some reason it reminded me of a butterfly. I believe this class of insects were originally called flutterbys. The rating of a 7.5 might stretch the truth a little, but what the heck. Sometimes I stretch the truth quite a lot. At least the calculation time has not been stretched. It took an entire 5 minutes to calculate the image on the fast 2000mhz machine. And don't forget the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is or momentarily will be posted for immediate and absolutely total gratification. Heavy clouds, steady rain, and a chilly temperature of 54F 12C kept things well dampened here at Fractal Central on Tuesday. The fractal cats' spirits were especially well dampened, but an extra treat of tuna and cheddar took their minds off the bad weather, and a dose of fresh catnip kept their minds off the weather. For me it was a back to work day. Luckily, the work was not very heavy, and was out of the way just after lunch. To fill the afternoon I watched one of the junkiest of junky old sci-fi movies, "The Creeping Terror", which is so bad that it must be seen to be believed. Actually, the movie's awefulness gave me just the push I needed to find today's image. The next FOTD image will be posted in 24 hours. Until then, take care, and since dreams happen inside the brain, how is it possible to dream of something too large to fit in the brain? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elusive_Flutterby { ; time=0:05:05.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.06238493615275089/-1.513718825559952\ /2.08e+012/1/-37.5/0 params=-5/-1.5/-1.5/-5/0/0/0/0 float=y maxiter=7200 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000YZZb`YgcXleWVUiDIvCKrCLoCNkCOhCQeCRaCTZC\ UWCWSCXPCZLC_ICaFCbBCd8Ce5Dc9EbCF`FG_IHYLIXOJVRKUV\ LSYMR`NPcOOfPMiQLlRKoPJkNIgLHcJH_IGWGFSEFOCEKBDG9D\ C7C85B44B159757D55J53P51V82XA2ZC2_E2aG2cJ3dL3fN3hP\ 3iR3kT3lR7gPBcNFZMJVKNQIRMGVHFZDDb8Bf4Ai0Fj2Jj3Nj4\ Sj5Wj6_j7dj8hj9ljAmiDniGniJoiMpiPphSqhVrhYrh`shcsh\ f000WNMKCB821C50G80KB0NE0RG0VJ0YM0aP0eR0hU0lX0p_0s\ a0mU6hNCbGHY9NT2S5nA6jD6fG6bJ7ZM7VP7RS8NV8JY8F`8Bb\ 9A_9AX9AUAARAAOAALAAIBCJBDJBEJBFJBGJBHKBIKCKKCLKCM\ KCNLCOLCPLCQLCRLHTJLVIPXHUZFY`EaaDY`CV_BSZAPY9MX8J\ X7LSGMOONJWPFdQAlR6t_GhgPXoYLZJn_PkaVib`fdfcelaZie\ TghNekHbnB`q5Zt7`o8bkAdgBfcChZEjVFlR2mT7nRBnPGnNTu\ 9QrENpIKnMHkQEiUBgY3eaAjZCnW8vRErTKnUQkVWgWadXg`YO\ qxkMJmYZsfyqgupgqnhmmhitqnpljlhfhcbd_Z`VVXRRTMNL7C\ NDGPIKRNOSSRUYVWbZYgbPonUmiZleck`mqNjmSgjXefabcfPS\ x``jkiXvBGvXIEPbJRaOU`TW_ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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The Fractals Journal
by Paul N. Lee 26 May '09

26 May '09

For over 16 years, the Fractals journal has been published every three months. And the World Scientific Publishing Co. hosts information about this journal: http://www.worldscinet.com/fractals/fractals.shtml The past volumes are available online at: http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:fractals&type=all Where the most recent issue includes a 14 page article by BENOIT B. MANDELBROT and MICHAEL FRAME. Some of the most accessed articles are: • Estimating The Fractal Dimension Of Plants Using The Two-Surface Method: An Analysis Based On 3D-Digitized Tree Foliage Frédéric Boudon, Christophe Godin, Christophe Pradal, Olivier Puech And Hervé Sinoquet • Estimation Of The Fractal Dimension Of Fracture Surface Patterns By Box-Counting Method Manabu Tanaka, Atsushi Kayama, Ryuichi Kato And Yoshiaki Ito • A Generalized Mandelbrot Set For Bicomplex Numbers Dominic Rochon • Structural Scaling In Bach's Cello Suite No. 3 Harlan J. Brothers • Fractal Analysis Of Dendritic Arborisation Patterns Of Stalked And Islet Neurons In Substantia Gelatinosa Of Different Species Nebojša T. Milošević, Dušan Ristanović, Jovan B. Stanković And Radmila Gudović Most issues contain around a dozen articles, where each article is several pages long. And there is a lot of good material to be found for those with the time for reading. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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Re: [Fractint] ???
by JackOfTradeZ＠comcast.net 25 May '09

25 May '09

. This particular type of fractal is a favorite of many a fractal enthusiast. Here is another one of interest: http://www.fractalforums.com/gallery/?sa=view;id=154 . Awesome! Looks gothic, almost H.R.Gigerish - like something from the "Alien" movies. Give me a fractint par for it ......... .

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FOTD 26-05-09 (World-Wide Webs [7])
by Jim Muth 25 May '09

25 May '09

FOTD -- May 26, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image is filled with things that look like spider webs. This is why I named it "World-Wide Webs". The parent fractal is what happens when the formula Z^(1.83)+C is calculated 18 levels up the logarithmic hyper-ladder, (or hyper-spiral). This parent resembles a partially-eroded Mandelbrot set rotated about 180 degrees, with a very large disconnected minibrot just inland on the northwest shore line of the main bay. Today's scene is located in what I take to be East Valley of this minibrot. The rating is limited to a 7, mostly due to the colors, which have an annoying muddiness that I couldn't get rid of. But the image is still an example of some of the unexpected scenes in the fractals with exponents of Z between 1 and 2. The calculation time of 1-2/3 minutes is blessedly brief. Equally brief is the trip out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-calculated image may be viewed at leisure. Tons of sunlight prevailed here at Fractal Central on Monday, and the fractal cats made the most of every photon of it. Nicholas got a bit testy when a wandering tomcat made a litter box of the side walkway, but Cassie calmed him in a hurry when she started playing with the catnip rat. My day was slow and lazy, which is the way I prefer days to be . . . up to a certain point, that is. The next FOTD will be posted in 24 hours. Until then, take care, and how do we know for sure that anything is real, or even if such a thing as reality actually exists, for that matter? (My guess is that it's a leap of faith necessary to make science work.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= World-Wide_Webs { ; time=0:01:42.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.8745118926611518/+0.566229601300528/\ 283049.1/1/-55/0 params=1.83/0/18/0 float=y maxiter=1750 inside=0 logmap=133 periodicity=10 colors=00050050050250950F50K50Q50X50VB0TH0OM0OT0MY\ 0IiBgvazzzzzvzzozzizzdzzXzzQzzKzzFzz9zz_zxzzozzzXz\ z0zz0zt2zdFzOQz9dz0oz5goFaVOX9YQ0gK0eV0dd3a_2_Y0YX\ 0XV0XT0VQ0TO0QM0QK0OI0QH0VD0_A0eA0hA0mA2pA5sA7vEBx\ IFzMIzQKzSOzUOzWOzYOqTOgOOY0OO0OF0O50O00O00O00O00O\ 00O20O95OF9OMFVVK_aQgiXno_vxezzlzzqzzxzzzzIz_QzXXx\ VdxQlvMqvKztHztFzqBzq9zzezzzzzzxqoideXOVIBK50B0020\ 000000002303905F07K09O03H00B003000000700D00I00O00T\ 00X00_00d00g53lB9oHFtMIxTOzYVzdYzidzngz_QzM9z90zD2\ zF7zIDvKInOOeQVYV_QXeI_lBaq3ex0gz0lz0zzzTzzzzz0zzz\ zz0zzzzz0zzzzz0zzzzz0zzzzzzzzzzzzzz2zz3zz7zz9zzBzz\ Q0zM0zI0zH0zDBz9Mz7Xg3gO2qI0za0zi9zoOzvdzztzzzzzzz\ zzvdz_0Xqd0zz7znFzIMz0Bz30lH0XXzFiz0xz0zz0zz0zz0zz\ 0zz0zz7dzFHzK0zV0zd0zn0zx0zz0zz0zz0zz0zz0zz7zzHzzO\ zzKzzHzzDzz9zz5zz2zz0zz0zz0Kz2ez3zz5zzYzzzzzqzzizz\ azzVzzMzzFzz7zz0zz5nzngzo } 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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