Fractal of the Day
by Jim Muth

Ring of Snowflakes ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- February 01, 2009   (Rating 8)

Fractal visionaries and enthusiasts:

Today's FOTD is late because, on Saturday, FL decided we should go on an antiquing expedition down to Hershey, and I agreed.   The day was long, but despite the journey and late return, the hastily found fractal turned out to be an unusually attractive one, (at least in my opinion).

The parent fractal is a shapeless thing created by combining various negative portions of Z^(-1.1) and Z^(-5.9).   This parent fractal has a very large and prominent 'fan'.   Today's image is located on the northwest edge of this fan.

I named the image "Ring of Snowflakes" because it reminds me of a snowflake.   I rated it at an 8 because I think it's pretty good.   And the calculation time of under 2 minutes is brief enough to make running the included parameter file almost fun.

As always, those who don't like fun may see the finished image on the FOTD web site at:
But before checking the web site, give Paul a chance to calculate and post it.

Sunny skies and a temperature of 25F -4C made for a chilly midwinter day here at Fractal Central on Saturday.   The fractal cats enjoyed the conditions alone.   Most of my day was occupied elsewhere.   The next FOTD will be posted in 24 hours, but this is a probability not a promise.   Until then, take care, and even if it's not real, who will know the difference?


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

Ring_of_Snowflakes  { ; time=0:01:50.08-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandAutoCritInZ function=recip logmap=64
  center-mag=+1.160595246192642/+1.639648996209331/1.\
  410313e+009/1/42.5/0 float=y mathtolerance=0.05/1
  params=-3.5/-1.1/-0.8/-5.9/0/0/0/0 periodicity=10
  inside=bof61 maxiter=1000
  colors=000CPhCYRDLJD8CC0FBJHAKJAUL9KN8cP8QRL`PXTOh\
  LMtDLzaGxgBqbDjcFcbGWXLPRQOQRNPTNOUFAKMMWLAKLKZKJK\
  zzzzzzwvuuuttssrrsqprooqnmpllokjoiinhgmffledkcckba\
  j``i_ZhYYgXBMVVfUTeSSdRQcPPcONbMMaLK``_EYXIWVLTSOR\
  QSONVMLYZo1Ym3Xl4Xk6Wi7Wh9VgAUeCUdDTcEOx`04bF9hUEn\
  hJtvOznQsgRl`TeUUZNWSGXLHTIHQGHNEIKCIHAIE8FEECEK9E\
  PV_Gpu7y7SqhwTdY5`8JhMWpZYkYZfX_aX`XWaSVbNVcIUdEU`\
  CWYAYV9_S7aP5cM4dd`EdcFeeGfgHfjIglJqs9gnJZjSQeaHaj\
  8YsLZlY_fpWei_`bcXWgTPkOIoKBsG4vC5mM5eV9dZCcbFbfJb\
  jManP`rAbzS`uhZpyXkGnLQnJZnIhnGqnFznEwjFtfGqbHnZIo\
  TIlVJjXJhZKf`KcbLadL_fMxbOYgM8lG7lKzlz5lzzhz5lzzzz\
  6zzzzzIzzzzzUzzzzzQzzzzzMzzzzzzzzzzCzzEzzFzzHzzIzz\
  JzzLzzMzzJzzNzzRzzVzzZzzbzzfzzjzzmzznzznzznzznzznz\
  znzznzzNzznzz`zzOzz0zzBzzLzzVczdcznuzDrzAoz7lz5az_\
  bzVczRdzN_zLVzJRzHMzFrzMIzEKzFMzFOzGQzGQzCRzGRzKSz\
  OSzSTzWTz_UzcUzgTzfAzjBze }

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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