Fractal of the Day
by Jim Muth

Just Another Fractal ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- February 20, 2009   (Rating 5)

Fractal visionaries and enthusiasts:

I hear that the moon is missing from the icy "Mystic Moonlight" image that I posted 3 days ago.   In the original discussion I neglected to mention that the moon is a virtual moon that lacks the fractal energy to become a real moon.   Of course, if the image were an oblique view of the rings of Saturn, we would need no moon.   The distant sun would be causing the glare.

Today's image is nowhere near as striking as the moonlight picture however.   In fact it's just another fractal, which is exactly what I named it.   The parent fractal came about when I subtracted 0.2 parts of Z3 from Z2.   This parent fractal is basically a Mandelbrot set with several new bays out the negative X-axis.   Today's image is located in a valley between two of these bays.

Since the image is just another fractal, I had to give it a rating of a very humdrum 5.   The calculation time of 11 minutes is admittedly slow, but relief is available on the FOTD web site at:where the finished image is posted.

Flurries of snow, brisk winds and a chilly temperature of 30F -1C made life outdoors unplasant here at Fractal Central on Thursday.   Luckily, I had no reason to wander far fron F.C. so the cold didn't bother me.   The fractal cats passed the day by the heat.   I will post the next FOTD in 24 hours.   Check back then to see what kind of mischief I can get into.


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

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

JustAnotherFractal { ; time=0:11:11.17-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=-0.6541923616778935/+0.0000018876245717\
  /1.515809e+010/1/-85/0 maxiter=3000 periodicity=10
  params=1/2/-0.2/3/0/0/0/0 inside=bof61
  colors=000DTBE`9Fg6Go4Hv2InAJgHK_PKTWLMbMEjN7qN0xS\
  6sXBoaHjeMfjSaoXYsaUchLPoCAu4Et9IsEMsJ000UrSXqX`pa\
  dpehojloopntsnxojwlgvhdueatbZsZWrWTqTQpWNkYLg_JcbH\
  ZdFVfDRwBMz9Iz7EzCDzGCzKBiOAiSAhW9g_8fc7eg6ek6000b\
  fKadR`bX_`cZZjYXp3Cf6Dh9DjBDkEDmGDnJDpLDqODsQDtTDv\
  VDwYDy_Dz`EvaFsbGpcHmcIidJfeKcfL`fLYdMabMe`MiZNmXN\
  qVNusXX000aIBUB0TIOSPkQThOXfM_dLcaJf_HjYGnVEqTCuRB\
  xPFqSIjVMcYPY`OVXOSTNPPNMMNLLNLLNLKNLKNLJNKJNKINKI\
  NKHNKHNJGNJGNJFNJFNJENJE7gDIg9Tg6bg3cbKdZ`dVqfUihT\
  ajSUkRNfPPbORZMTVLVRKXNIZJH`FFbBEd7DeDEgKFiQGlXHnE\
  29J5IO8RTB_YEhYxlZpm000000000bOphZggWifTjeRkdOmcMn\
  bJoh2Wg5Zf7ae9ddBgcDjbFmqy9mmKibVeSeR84UBHXDT_Fdhd\
  ieTmSk4UeDW`LYWT_R`aMhHJ8PINWHaYH6000`mUaHeJUKzpSw\
  VmK_DOWLSSTVOjbKt960D87H9zLBKOCRSDYWFc_GjhYjfUleRm\
  dNncKo2SJCPSLM_UJhuCsqDrmEqiFqeGpCPdGOfJNgNMiQLjTK\
  lXJm_Ioq7s`TKaN`NIXQH`CLE }

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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