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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is another rather slow one. It lies deep in the East Valley of the parent fractal that results when Z^(-1.01) is subtracted from Z^(1.01) and (1/C) is added. Without a doubt, this parent fractal is the most distorted Mandeloid I have yet come upon. At first glance, it doesn't even look like a Mandeloid. It looks more like an oversized squashed and folded circle with rough edges. But a second look reveals that those rough edges are actually bud radicals, and the fold is the barely recognizable East Valley. Despite its appearance, today's image was rendered in the fully traditional manner, with the inside a solid black and the outside colored according to the iteration count. The sinuous iteration bands are in the fractal, though I did emphasize them a bit with the coloring. To reward myself for the coloring, I rated the image a 7-1/2. The name "Maximum Distortion" refers to the parent fractal. The maxiter of 750,000 is larger than it need be, but with the logmap feature turned off, it makes little difference. The calculation time of 16-3/4 minutes is admittedly slow. To avoid delay, I suggest going to the FOTD web site at: With a temperature of 75F 24C, it remained unusually warm here at Fractal Central on Friday, though an all-day string of sudden showers kept the day from being too pleasant. The fractal cats showed their displeasure by viciously attacking their scratching posts. My day was average, which means nothing happened worth telling about. The next FOTD is due in 24 hours. Check then for near total fractal satisfaction. Until next time, take care, and after thousands of years, one would expect people to realize that ghosts are all in the mind. But then again, neuro-biologists claim the mind is all in the brain, while at the same time philosophers claim that all we can know about the brain comes from images in the mind. Do I see circular reasoning at work? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Maximum_Distortion { ; time=0:16:43.82-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
center-mag=+1.159214347642294/+3.358879727718408/2\
.97941e+009/1/-177.5/-0.00115705984022239361 float=y
params=1/1.01/-1/-1.01/0/0/0/0 maxiter=750000
periodicity=10
colors=000S5AW6GZ6Mb6Se7Yi7cl7iw0ro7ohEm`Lk7PdUSim\
XwpVmrTctRUvPKxNBvQFtTIsVLqYOp`RnbUleYkh`ijchmffpi\
erllrvhoselpbjmZgjWdgTbdP_aMXZJVWFSTCPQ9NODLUHJ_KI\
hOGnRFsTDwVCzVAwT9uQAsOFtMKuJPwHSzFPwCKrAAm80hUHco\
XYmYZlZ_j__i_`h``faaebadbbbcbadc`dcZcdXbeVafT`gR_h\
PXeOUbMS_LPXJMUIKRGHOFELDCIC9FA6C94AC6DF8FI9ILBKOC\
MREPUFRXHU_IWbKYeL`hNbpOetQguPltRnqSglTeiTcfT_eRYe\
OWeLUfKSgJQh3Oe4Mc4Ka5J_5MY6PV6ST7VR7YP8`N8cK3jL8e\
MDaNHYOLXOPXPTXPXXP`XQcXQgXQkXRoXRsXPz`RvXSsTUoQVl\
MWiJVjIVkIVlHVmHUmGUnGUoFUpFzzhzyczxczwczvczucztcz\
sczrczqczpczoczncymUxcKvXIvTJvWKvZLuaLq`NnZOkZPgYQ\
dXRaWTYWUVWVSWWOWXLVZIV_EV`BVa3Ud8VbDWcHXcMYcRYcVZ\
c__cd`ch`ce_cb_c_acXccVacS_cPYcMWcPUcYQcYQcYQcYRaY\
R_YSYYSWYTUYTVYUWYUX_UXaUWcUVeUVgUUiUUkRTmSUoTZqUc\
tVhxWmzXhvZcrcZmhUkmRir_gv9ezBczCZzEUzGPzIKzJImDJc\
DKUCLKCMICNGBOEBPBBQ9AR7A }
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.
