Fractal of the Day
by Jim Muth

FOTD for Feb 02, 2007 ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- February 02, 2007   (No Rating)

Fractal visionaries and enthusiasts:

Today's image shows a midget that exists in the Z^(1.2)+C Mandeloid as it appears 202 levels up the complex logarithmic ladder.   The image comes on strong, but it's really only one more in an endless series of midgets that look like starbursts.

Because of its lack of originality, I gave the image neither a name nor a rating.   It's still worth a brief look however.   The render time of 2-3/4 minutes is true on an ancient P133 machine.   It will finish in a minute or less on any SOTA computer worth its name.

Those with over-qualified units may view the image on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

The sky was leaden grey, the temperature was a cold 25F -3C, and the forecast called for snow here at Fractal Central on Thursday, but no snow fell.   The fractal cats, who have never been out in snow, do not know what they missed.   My day was frantic, which is the reason for the hasty FOTD.   The next FOTD is due to appear in 24 hours.   It actually might appear.   Until then, take care, and when the going gets tough, the tough turn to a fractal.


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

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

FOTD_for_Feb_02_07 { ; time=0:02:46.97--SF5 on a P133
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 inside=0 periodicity=10
  center-mag=-1.86847411642572900/-1.033879743947788\
  00/2666.667 params=1.2/0/202/0 float=y maxiter=5000
  colors=0003RKyYYnSSdMMVHHKBBA55rDGlBEgACa9BX79R68M\
  56G34B23511FBJC9GA7D86A648435212ResOanMZiKVeIS`FOW\
  DLSBHN9EI6AE479234EtrComBkiAfe9ba8ZX7UT6QP5LL4HG3D\
  C2881440fb0c_0`Y0YV0WT0TQ0QO0OL0LJ0IH0GE0DC0A90870\
  54022ovbbgTQTJDE9UMtPIkLFcHCWC9O86G4383mI2hG2cE2_D\
  1VB1R91M81I60D4093041kQGgOEdMDaKCZJBWHASF9PD8MC7JA\
  6G85ecdicendfrdgvdhsfepgbmi`kjYhlWemTcoQ`pOYrLWsJZ\
  nN`jRbfVdbZfZbiVfkRjmNnoJrqFvYjDSYRMMdPReRVfTZgWch\
  Ygi_kjbpkdtlfxmcvnauo_spYrqWqrUosSntQmuOkvMjwKixLf\
  uMcsNaqNZnOWlPUjQRgQPeRMcSJ`THZTEXUBUV9SW6QW4OX7PY\
  APZCP_FP`IPaKQbNQbPQcSQdVQeXRf_RgbRhdRigRiiRccNYYK\
  SSG403NNDHHABB6553IFYGDVFCSDBPCAMA8J97H76E65B43832\
  5112CAA655wK1rI0nH0jF0eE0aC0YB0UA0P80L70H50C408204\
  10OWfKQZGLSCGL8AE457fwGbrE_mDXiCTdBQ_9NW8JR7GN6DI4\
  9D3692341uvInoGhhEabCWWAPQ8JJ6CD4662Dmi6PNsj5cxdZq\
  _VjVQcRMXMHRIDKD8D94646qc }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z) > r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z| < a }

END PARAMETER FILE=========================================


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