Fractal visionaries and enthusiasts:

I named today's image "Purple Pilgrimage", a phrase that appears to have deep meaning but actually means nothing.

The generating formula subtracts Z^(-0.5) from Z^(1.5) on each iteration before adding (1/C).  This unlikely expression creates no single parent fractal, but rather a field of scattered debris filled with tiny Mandelbrot sets.  Two relatively large M-sets dominate the field, with today's scene located near the east valley of the smaller of the two.

The scattered-debris appearance of the parent fractal is reflected in the pattern surrounding the tiny minibrot at the center of today's image.  This debris is filled with even tinier minibrots, etc., etc., all the way to infinity.  Unfortunately, all these even tinier minibrots are well beyond resolution, at least in the present-day Fractint for DOS.

I rated the image at a 7, which is FOTD average.  The main drawback is the colors, which are brilliant enough, but at least in my opinion, do not blend together harmoniously enough for a higher rating.

The calculation time of 45 seconds is only a slight delay.  This delay in finding satisfaction may be avoided however by visiting the FOTD web sites.

Near total sun and a temperature of 61F 16C made today the most spring-like so far this year here at Fractal Central.  The fractal cats took to their sunny shelf in the southwest window, and with the house heat turned off, stayed there all afternoon.

The humans, FL and I, after agreeing to disagree on a couple minor political points, had an uneventful day of doing the commercial work and working on fractals.  The next FOTD will be posted in 24 hours.  Until then, take care, and it's tough having a middle-of-the-road political view in a world of social progressives and religious fundamentalists.

Jim Muth
jimmuth@earthlink.net


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

Purple_Pilgrimage  { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip
  center-mag=+1.749538453714277/+1.909375078220021/\
  1.462337e+012/1/85/0 params=1/1.5/-1/-0.5/0/0/0/0
  float=y maxiter=1800 inside=0 logmap=95
  periodicity=6 mathtolerance=0.05/1
  colors=00000500950EA0IF0ML1QR2UX3Yb5_h7am9cqKetWgv\
  jarsWkpMKgD5Z4AS8FVCKZGPcJXgLdjMlmNroPzrQspcnocjmr\
  cjvYgzYZzXdzXyzXyzSxvOxrKwmGwhCwcHrZLmmPhxLcuIZrFU\
  pBPm8Kk5Fh2Af9edFgcMiaSk`ZmZdoYkqWqsVeqPVpKKoFD_E6\
  LEGPBQT8ZW5h_2qb0n`2kZ4iY6fW8dVAaTC_SDbPFdNGfLIiIJ\
  kGLmEMkIOVWLiMPgQQeURcYSD9NHDOLHPPLQSPRWTS_XTWKk_T\
  areGpdIncKlcLjbNhaPfaQd`Sb8gwy3st8ppCllGihLedPx7Xp\
  HViRUtgQqfRneRldSicSgbTdaTvIblSYDljKieQfaXcXnAXhOV\
  8gPFeQLdRRbSXaTFFIJJKNNMRQOVUQZYStO4kVHpIxnLslOnjR\
  jhTefWadZXkgKs65mHDgRLLXCGtSSjT2XzLZiMTtSWjYZa`YAa\
  ZEaZHa_Kb_Nb`QCkKGiMJhNNfOQePTdQXbR_aSg`Ke`Nd`Pc`R\
  gHcfKaeM`ePZdRYcUXcWVbZUqQLnSNlUOiWPgYRd_Szw3nkGHp\
  eKncNlaQj`ShZVfXYdW`bUthRofSkdSfbTsZgp_dn_bk_`i`Zf\
  `Xd`V_hd`fb`e`adZacYbbWbaUXcGYbIZbK_aL_aN`aPa`Qb`S\
  C5CLGIUROHfINdLScOYaRsNvoQplTjhWdeZZmYZkZYiZXg_We_\
  Vc`U_bp`aha``uh_D50HA5OUz }

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=========================================