FOTD -- October 20, 2007 (Rating 7.5)

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:

       

and viewing the finished image there.

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-biolo-
gists 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
  center-mag=+1.159214347642294/+3.358879727718408/\
  2.97941e+009/1/-177.5/-0.00115705984022239361
  params=1/1.01/-1/-1.01/0/0/0/0 float=y inside=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\
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  MDaNHYOLXOPXPTXPXXP`XQcXQgXQkXRoXRsXPz`RvXSsTUoQVl\
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  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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