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May 11, 1997: Pseudosphere May 10 May 12 1997 FOTD Home

pseudosphere

Fractal visionaries:

Today's fractal is another quickie.  It is something that appeared unexpectedly in a new formula I've been playing around with.  It reminds me of the golden shield of some long forgotten mythological hero.  I've included separate parameter and formula files, as well as a combined parameter file for those with version 19.6 of Fractint.  As always, the finished image has been posted to ABPF.

I've also reproduced the image with the five mandelbrot midgets pointing inward.  I suspect that it's an artifact caused by the multi-valued nature of the complex log function, but what the heck, it's a pretty good image.  Let's not worry about where it came from.

Jim Muth
jamth@mindspring.com


START VERSION 19.6 PARAMETER FILE===============================

Pseudosphere       { ; time=0:00:06.32-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=Test02 passes=1
  center-mag=0/0/0.9861933/1/90/0
  params=1e-009/0/-5/0/0.06/0 float=y maxiter=15000
  inside=bof61 logmap=yes periodicity=10 sound=off
  colors=000E02O23S84VD5ZJ6aP7fV8k`9ofAtqczzzxscvhJz\
  cNpMRcLcUAUF0FlSbjVcgZdeaecdf`hgZkhXniUojRokOokMpl\
  JpmGpmDpnBpn7gg3_a5Y_7WZ9UXASWCQUEOTGMRIJPKHOMFMND\
  LPBJR9IT7GP7NM7UI6aF6hB6o86v65l54b43TA7822J119_OKQ\
  OoDCQKlEHdCDX9AO76G4382MrwJjnGbfCVY9NQ6FH3781MG1JE\
  1GB1D90970640327l96e85Z64S53L42E2171SqcgAL`8HT6EM5\
  AE37713LwDInBFf9CY79P56H3381rhM_UEIF7BOS9LO8HK6EG4\
  AC378134Ys7M`4BI2wT_nPVfLQYHLPCFH8A8454yn3of3dY2VQ\
  1KH0A81Pp0GZ08Hic9aX7XMJYMJZMJ_MJ_NJ`NJaNJbNJcNJdN\
  JeNJeOJfOJgOJhOJiOKjOKkOKlOKlPKmPKnPKoPKpPKqPKrPKr\
  QKsQKtQKuQKuQKtRLtRLsSLsSLsTLrTMrUMrUMqUMqVMqVMpWM\
  pWMpWNoXNoXNoYNnYNnZNnZNmZNm_Nm_Ol`Ol`OlaOkaOkaOkb\
  OjbOjcPjcPicPidPidPhePhePhfPhfQgfQggQggQfhQfhQfiQe\
  iQeiQejRdjRdkRdkRckRclRclRbmRbmSbnSanSanSaoS`oS`pS\
  `pS_qS_qT_qTZrTZrTZsTYsTYsTYtTXtUXuUXuUWvUWvUTvXQu\
  _OubLteIthJnaYQGQKBHF6991 }

frm:Test02 {; Jim Muth
z=pixel, d=real(p3),
f=imag(p3), c=d*(pixel^f):
z=sqr(z)+(p1*z^p2)+c,
|z| <= 100 }

END VERSION 19.6 FORMULA-PARAMETER FILE=========================