FOTD -- August 01, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD we bid a temporary farewell to the Mandelbrot set and return for a while to the MandelbrotMix4 formula for a view of the fractal that results when various portions of Z^(-1.5) and Z^(-6.5) are combined and (1/C) is added. I will not try to give a detailed description of the indescribable parent fractal, which is actually several separate Mandeloids, one a sprawling, shapeless thing with numerous valleys and buds, the other a fairly routine M-set. Today's scene is found in an inconspicuous location on the west edge of the shapeless thing. It has been partially evaporated by a large escape radius, resulting in the sea-shell like effect. The name "Pyroclastic Fractal" has no relation to the actual appearance of the image. It is simply a phrase that came to mind while I was studying the image. The coloring could stand some improvement, which is why I could rate the image no higher than a 6. The render time of 4-1/2 minutes is quite reasonable for such a complicated image. And as always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A near perfect high temperature of 81F 27C kept the fractal cats quite happy here at Fractal Central on Sunday. The 6 hours they spent in the yard seemed to pass in the twitch of a whisker. Very little tuna was needed to give them a near perfect ending to the day. Today is starting much the same. For me the work is waiting. The next FOTD will appear in 24 hours. Until then, take care, and the answers will be shocking indeed. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= PyroclasticFractal { ; time=0:04:31.61--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.562997473196849/+0.74551682411940390\ /10292.68 params=1/-1.5/0.3/-6.5/0/200 maxiter=1400 inside=bof61 outside=tdis float=y periodicity=10 colors=000RUJSVLSWNTYPUZQU_SVaUVbVWcXXeZXf`YgaZicZ\ je_kg`mh`njaolapm`nk_liZjgYheXfdWdbVb`U`ZTZYSXWSVU\ RTSQRRPPPONNNLLKJKLHIHFGJDE78CJBDJDEMFFLHFPJGOMHSO\ ISQIVSJXUKYWL_ZL``MbbNcdOefOfhPhkQimRkoRlqSnsTouTm\ uSkuSiuSguSfuSguSguRguRguRguRguRhtRhrQgpPdnOblOaiN\ YgMWeLTcLRaKP_JPXIOVIOTHORGNOFNMFMKEMIDKFCMGDNHEOH\ FQIGRIHSJITJJVKKWKLXLMYLN_MN`MOaNPbNQdOReOSfPTgPUi\ QVjQWkRXlRXiPZgO`dMbbLd_JeYIgVHiTFkQElOCnLBpJArG8s\ E7uB5w94y51z73z85xA6uB8sDApEBnGDkHFiJGfKIdLKaNL_ON\ XQPVRQSTSQUUNWVLXXI`ZDYYGWXJUWMSVPPUSNTVLSYJR`GQcE\ PfCOi9OmANlBNkCNkDNjDMiEMiFMhGMhGLgHLfILfJLeJKdKKd\ LKcMKcMJbNJaOJaPJ`PJ`QK_QLZRMZRNYSOYSPXTQXTRWUSWUT\ VUUUVVUVWTWXTWYSXZSX_RY`RYaQYbQWaPV`PU_PTZORYOQXOP\ WNOWNNVNLUMKTMJSMIRMGQLFPLEPLDOKCNKAMK9LJ8KJ7JJ6JJ\ EFHLBGS7FZ4E`4Db4Dd4Cf4Ch4Bj4Bk4Bjgmghldhkahk_hjXi\ iUiiSihPihMjgKjfHjfQRGQSI } 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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Jim Muth