Fractal of the Day
by Jim Muth

Obscured Ogive ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- March 11, 2009   (Rating ?)

Fractal visionaries and enthusiasts:

A tiny bud appears on the east edge of the circular hole at the center of the main bay of the pseudo-minibrot in yesterday's image.   This tiny bud is the brilliant background object in today's image.   The bright white arc at the bottom of the image is part of the circle that appears in the main bay of the minibrot of yesterday's image.

This figure, with its ogive-arch in the background and converging arms in the foreground, is quite prominent in the minibrots of the HyperMandelbrot sets.   These scenes appear to be non-critical, yet I have never been able to find any starting points that would clear away the arms and reveal the true shape of one of the arches.   Perhaps more investigation is necessary, or perhaps there is no unique 2-dimensional critical Mandelbrot plane in an 8-dimensional Julibrot figure.

 I named the image "Obscured Ogive" purely as a description.   Since I have no idea how successful I was at revealing the true scene, I was unable to give the image a rating.

When the image calculates from the parameter file, it starts off as though it will finish in less than a minute.   But don't be fooled.   The calculation soon slows to a crawl, and a full 15 minutes will be needed for the calculation to finish.   I recommend viewing the finished image on the FOTD web site at:
Heavy clouds, occasional rain sprinkles and a temperature of 43F 6C spoiled Tuesday here at Fractal Central.   The fractal cats sulked and soon turned their thoughts to tuna.

In my department things went about average.   I'll post the next FOTD in an average time of about 24 hours.   Until then, take care, and an ogive is a pointed gothic arch.


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

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

Obscured_Ogive     { ; time=0:15:25.72-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=HyperMandelbrot2 passes=1 maxiter=15000
  params=0/0/0/0/-4.18/0/1e-015/0 float=y inside=253
  center-mag=-1.74593077988/+0.02015008205/1.95e+007\
  /1/5.56/0 logmap=-534 outside=real periodicity=0
  colors=000DKdCKeBKfAKg9Kh9Kk9Kj9Ki9KhdKgcKfbKeaKd`\
  Kd_KcZKbYKaXK`WK_VKZUKYTJYSIXRHWQGVPFUOEUNDUMCULBU\
  KAUJ8TI7SH5RG4QF2PE1OD0NC0MB0LA1K92K83K83K84K85L86\
  M77N79O7BP7DQ7FR6GS6HT6IU6IV6JW5KX5LY5MZ5N_5N`4Oa4\
  Pb4Qc4Rc3Qc4Rc5Rc6Sc7Sc8Tc9TcAUcBUcCVcDVcDWcEWcFXc\
  GXcHYcIYcJZcKZcL_cM_cM`cN`cOacPacQbcRbcSccTccUdcVd\
  cVdcWecXecYfcZfc_gc`gcahcbhccicdicdjcejcfkcgkchlci\
  lcjmckmclncmncmocnocopcppcqqcrqcsrctrcuscvseztgxsi\
  wskvsktsjsshrsgqrforenrcmrblrajr`irZhqYfqXeqWdqUcq\
  TaqS`pR_pPZpOXpNWpMVpKTpJSoIRoHQoFOoENoDMoCFp5Is8L\
  rBNqDQpGSoIVnLXmN_mQbmTdmVgmYim_lmbnmdmmemmflmglmh\
  kmikmijmjjmkimlimmhmnhmnhmogmpglqfkrfjseisehtdhudg\
  vcgwcfxcfxbewbewbdwadwacvacv`cv`bv`bv_bu_au_auZauZ\
  `uZ`tY`tY_tY_tY_tXZsXZsXZsWYsWYrWYrVXrVXrVXrUXqUXq\
  UWqTWqTWqTWpTWpSWpSWpSWpRWoRWoRWoQWoQWoLUnLUmKUmJU\
  mIUmHUmGUmFUmEUmszzY_VY_V }

frm:HyperMandelbrot2 {; periodicity must be turned off
  a=(p1),b=(p2):
  q=sqr(a)-sqr(b)+pixel,
  b=(p3+2)*a*b+p4,
  a=q,
  |a|+|b| <= 100 }

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

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