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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: How could one rate a regular pentagon? They could not. A pentagon is unratable. All regular pentagons are similar. They're all the same. Therefore I gave today's image, which features a blatantly obvious pentagon, no rating. True, the pentagon is decorated by flowery petals, but it is still a pentagon. The parent fractal was created by combining small portions of Z^(-0.5) and Z^(-1.5) then adding (1/C). It consists of several oversized arcs floating in empty space. Today's scene is located in the smaller arc, which has by far the most detail. When I examined this smaller arc, I found no signs of Mandelbrot midgets, but hey, there's nothing wrong with the pentagons that I did find, a great example of which appears in today's picture. The passes=b option works exceptionally well with today's image, and it is quite amusing when the outline of the perfect pentagon is suddenly traced out. The render time of just under 3 minutes is fair enough, but to speed things up even more, the finished picture of the pentagon has been posted to the FOTD web site at: The weather was perfect here at Old Fractal Central on Wednesday; the fractal cats were perfect also. My day was appropriately busy. The next FOTD is scheduled to appear in 24 hours. It actually might do so. Until then, take care, and if you actually did find the theory of everything, it would still be nothing but a theory. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_11-05-06 { ; time=0:02:53.89--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=b
center-mag=-4.18371/-13.9732/62.87884/1/-3.1/8.018\
4e-013 params=0.12/-0.5/0.03996/-1.5/0/0 float=y
maxiter=1200 inside=255 outside=real periodicity=10
colors=000t9Is5Hr1Gq4Hp7HoAInDIlGIiJJfMJdPKaSK_VKX\
YLU`LScHPdIOeJOdKOcLObMOaNO`OO_POZPOYOOXNOWMOVLOVK\
OXJTZNX`S`cWdf`ijdmmhqpmurqvtstqqomnjikdeh_adVYaPU\
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YXh_WfaUdbTadR_fQYhPWiSZfV`cYc``eYcgV`hXZhZXh_ViaS\
ibQidOjeMjgJjiHkjFklDkmAlo8lp6lr4ls8ktCktFktJjtMju\
QjuTiuXiu_iuL3ZO3ZR3ZU3ZX3Z_3Zc3Yf3Yi3Yl3Yo3Yr3Yu3\
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jwWgvSdvPauMZtIWtFTsCQsIOqNNpSLnXKmaJlfHjkGipEguDf\
zCeyGdyKcyObyRayV`yZ_xaZxeYxiXxlWxpVxtUxwTN7mAOMDM\
LFLLHKKJIKLHJNGJPEIRDI000 }
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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times.
