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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: A quick glance at today's parameter file will reveal a 'biomorph' entry. I'm not sure what this feature was originally intended to do. My guess is that the idea came from an old, now forgotten article in 'Scientific American' magazine, which showed how life likely develops along fractal patterns. The parent fractal almost isn't. Instead of appearing as a screen filled with interesting intricacies, it is little more than an almost impossible to find dot far off to the southwest of the opening screen, which is a disappointing blank. But in this dot lies a tiny Mandelbrot set surrounded by far tinier dots with far tinier M-sets at their centers. Today's image is one of these miniscule sub-Mandelbrot sets. The 'biomorph' feature supplies the cusps that fill the image. The name "Living Minibrot" implies that earth life might have developed along fractal patterns. The rating of a 7 seems about right for a moderately impressive image that calculates in a F.T.L. 32 seconds. The image, as always, is or soon will be posted for instant viewing on the FOTD web site at: Thursday began foggy here at Fractal Central, but the sun soon broke through, leading to a near-perfect day with blue skies, light winds and a temperature of 72F 22C. The fractal cats were more interested in the cats prowling around outside. My day is best described as rather good. The work went well and the fractal of the day is at least acceptable. The next fractal of the day (or is it the fractal of tomorrow?) will be posted in 24 hours. Until then, take care, and keep your cool. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Living_Minibrot { ; time=0:00:32.17-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-34.95007187798075/-26.2115596616193/6.3\
263e+008/1/96.75/0 maxiter=500 inside=255 logmap=19
params=0.001/12/12/2/0/0/0/0 float=y periodicity=10
biomorph=51
colors=000GBYB4KUMOWUUZ`_`gecnlA22z_Iz8ztKloXhiidj\
hckfagUyOXDLfDOKBMG8KD6H93ZNMgOVzPzzQlLRNFVXAZf4cq\
UIHRCMa6Re0WRVESbGXLDcJDjHDqEELYPGh`ZOOgPZqQjEfmCZ\
ploRIVC9bA0k8YPBTUFXaH_hJcpMQNPRMaSMmTLzMcGHtJUXRY\
fdaqr_KJiHPsEVROFTQHVSJYKFfHHoEJxALH_G7lJqC1Va8_p2\
VHSe3wOJBMF9KA7XKNcGYjChr8sKLIEJN8HS2FXQnaBxAUIFYC\
Ha7Jf1LIKT9Gh0CxVIJ`CQf6Xl0cSbjYC9f14QPJQSQRVXvIN_\
VMibVsjdfEGw5KLxRvsEOTFLZIIdKFjNTc0oy9UMOZKZbIigGu\
SOBVP9YQ7MKNIGYEDh99sOKHMHLKEPIBUMWIHeOCoU5b3F_O3l\
_W2f_QUcoJRCXS0pVOJ`QPeSVkUaLC9F14RUDTaDVhDXpEYMIe\
KNmJSvHYfSVwXmLODFPC9QC3RBmLNTPOWSZZVibYu`dRlwdQSJ\
QYPQcVQi`NROKVZHZiNWIKeOHoUDy_XXJdfQlpXPHAOA7M33ab\
WmroMQLHUUDXa8`jRMOTKZVIiXGtZHLhBUJPWBRoUTEY_FafGf\
mHVVG_cJdkMjtPOJALE7JA4G51U`RZoeLINGDYB8g63rQU8Pa2\
aWCmeBHdAaUBma8o9HLL`GIxDAEOYOMhZKtjcYCrhA`PTkShwV\
xiwpcOY3`TWX`gOFyQILHNszz }
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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times.
