Fractal visionaries and enthusiasts:

Today's image lies in the parent fractal that results when 1.6 negative parts of Z^3 are combined with 2.4 negative parts of Z^2 and C is added on each iteration.  The resulting parent fractal is a Mandelbrot set with some extra stuff added mostly along the X-axis.  Today's scene lies in some of this extra stuff that is just starting to sprout along the positive X-axis.

The rating of a 7 might be a bit liberal.  The image really is a bit too chaotic and the colors too disorganized for maximum effect.  But I kind of like it anyway, with its preponderance of grays, so the rating of 7 will remain.

The name "Moth-Eaten Fractal" came about when I realized that the thing was full of holes, like an old woolen sweater than has hung in the closet too many months with no moth repellant.

The calculation time of over 22 minutes is admittedly slow, but may be cut to 14 minutes by rendering the image with the passes set to 'g'.  Doing so however will cause some loss of accuracy.

To avoid all calculation, check the web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

where the finished image should soon be posted.

The original web site, complete with almost 14 years of FOTD's is still located at:

       http://www.Nahee.com/FOTD/

but the last time I checked, it was not up to date.

The temperature reached a mild enough 50F 10C here at Fractal Central on Sunday, but a steady rain fell all day, spoiling the brief respite from the chill.  The fractal cats seemed unconcerned.  We are installing a shelf over the large radiator in the hallway, where they can leap any time they wish and be as warm as a cat by an open fire.  If all goes as planned, the next FOTD will be posted in 24 hours.  Until then, take care, and be lively.

Jim Muth
jamth@mindspring.com


START PARAMETER FILE=======================================

Moth-Eaten_Fractal { ; time=0:22:37.71-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.69362781933042/+0.01361539169399/3.0\
  909e+010/1/147.5/0 params=-1.6/3/-2.4/2/0/-97.5/0/0
  float=y maxiter=8000 inside=0
  outside=imag logmap=1235
  colors=000UUUGa08J0zsBz_8m06NM4BB2sXtgQhXJYMDMB6BA\
  cp8We6OV4GL28Al6Cc5AW48O36z24812jwrNUR5VLcaVWUOOMI\
  GFC876PY5KS4mM3CH28B1450GnyzaizPVzCFzc5z74zz3z326z\
  1zHzzz9zG4zzizVYzzNzABzz2zK1zzSzlNzzIzTEzz9z94zztz\
  YjzzazKSzzJzz9zvnzzYzJHzzTzWNzzHzGBzz5zAnzzcz6UzzK\
  z2AzzdzzZCBT99N76H44B225_ZCRQ9IH6983PjwLdoIZhFT`CN\
  U9HM6BF357_OkOGWC8GJnPCYG6H8zR1mL0`G0PA0C50`qBWj9R\
  c8NX6IR5DK49D246115e03S01EjCmN6PkkXaaQSSJJJD9964Uu\
  3Mf2FT17ELHKA8A6Bt48e35S12EnSpYIZH9HlDm_9`O6PC3CTp\
  uNeiHVYBLN5AB8i86a65U54N42F21712Uu1Oi1IY0CN06BjzEH\
  ttDhhAYY6MM3BBgQ8ZK6QF4HA3851GDO86Cccc5J8PGnC8Pgma\
  afXX`SRVNMPJGIEBC9564vuSgfLTTEEE76zX4mQ3`JzK01C6Ad\
  BuiFTN7CxhWZyOQiGHV88FRDSNBOJ9KF7GB5C738314sq_zczz\
  RzzDzzLzzFzzAzz5zzgzz`zzVzzPzzczzVzzczzMzzczzGzzcz\
  zWzzZzz`zzbzzdzzWzzNzzFzzFzzczzczzczzczzczzczzczzc\
  zzczzczzczzczzczzczzczzcz }

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=========================================