Fractal of the Day
by Jim Muth

Church Window ©
Jim Muth's fractal image in GIF format (640x480).


Classic FOTD -- December 22, 2000   (Rating 6)

Fractal visionaries and enthusiasts:

Today I am still grumpy.   A combination of a broken computer, too much work, and too much seasonal rush has me out of sorts.   I'll probably be grumpy all day, but luckily my grumpiness won't last too long, since this is the shortest day of the year.

A bad mood however never deters me from the world of fractals, so despite my foul mood, I went searching.   I found the FOTD after a 20-minute search.

Today's fractal reminded me at once of a stained-glass window in a church.   The name "Church Window" soon followed.   The totally whimsical expression 21Z^(-1.21)+1.2Z^(-12.1)+(1/C) was iterated with an escape radius of 5000 to create the fractal, which I have graciously rated a 6.

The render time from the parameter file is a nominal and exact 6 minutes.   This is slow enough that I recommend going to the Web and downloading the GIF image from Paul Lee's web site at the URL:and at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

I will not be posting the FOTD images to Usenet until I get access to my Earthlink ISP, which with all the rush may be a matter of several weeks.

The fractal weather today was partly sunny and cold, with a high temperature of only freezing, which was far too chilly for the dynamic duo of cats, who spent the day getting into trouble around the unfinished tree.   (That's another job I've got to do.)

Right now I'm going to shut down the fractal shoppe and eagerly call it a night.   Until tomorrow, take care, and fractals, like rabbits, have the ability to multiply beyond all limits.


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Church_Window      { ; time=0:06:00.00 -- SF5 on a P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.50906377629614/+0.665496317395552/7.42\
  1096e+007/1/-7.499 params=21/-1.21/1.2/-12.1/0/4900
  float=y maxiter=1400 inside=0 logmap=82 periodicity=9
  colors=000B00EB0D80D70D40D30D00D00A00<2>E00F00F00H22\
  I32J33J43K63M74N74N86OA6QB6RB7RD7SE8UF8VF8VHAXIAYJBZ\
  JBZKB_MDaNDbNEbOEcQEeQFfRFgSHgUHiUHjVIkXIkYJmYJnZJo_\
  KoaKqaMrbMscMseNueNvfOwgOwiOyiQzjQzkRzmR<2>zuSzwMzuS\
  zoYzgbyVgvNnuHsr8yo2zm0z<3>n0zn0zo2zo3zo3zo4zo6zo7zq\
  8zqAzqBzqBz<4>rIzrJzrJz<3>sOzsQzsRzuSzuSz<2>uXzuYzvZ\
  zv_zv_z<4>wfzwgzwgzwizyjz<3>yozzqzyoz<3>sjzrizqgz<2>\
  mczkbzjbziazg_zgZz<3>bUzaSz_RzZQzYQz<4>RJzQIzQHzOFzN\
  EzMDz<3>HFzFFzEHz<3>8Jz7Jz6Kz7Kz7Mz<3>7Oz8Oz8Qz<2>8R\
  z8SzASzAUzAUzAVzAVzAXz<4>BZzB_zB_zDaz<3>DczDczEez<3>\
  EgzEgzEiz<3>EkzEkzEmz<3>EozEozEqz<2>ErzEszEuz<2>EyzE\
  zzEzz<10>DzzDzzDzzDzzDzzDzzBzz<3>BzzEzzEzz
  }

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 20.0 PAR-FORMULA FILE==================================


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