Fractal visionaries:

Today's fractal is one of my favorites.  A study in emerald, it resembles a cosmic mushroom cloud illuminated gently from behind by a pearly grey-blue radiance.

The formula is pure serendipity.  To create it, I wrote expressions that I thought would make sense, and lo and behold, they worked.  This formula is part of a series of serendipitous formulas I call MandNewt, because they combine features of Newton's fractals and mandeloid fractals.  The six variable parameters add to the serendipity by causing the resulting image to be nearly unpredictable.

Jim Muth
jamth@mindspring.com


START FORMULA FILE==============================================

Emerald            { ; time=0:00:59.65-SF5 on P4-2000
  reset=1950 type=formula formulafile=basicer.frm
  formulaname=MandNewt10 passes=1
  center-mag=-0.106416/0/2.38/1/90/0 params=5/-1/1/\
  0.5/1/5e-031 float=y maxiter=430 inside=255
  logmap=yes periodicity=0 sound=off
  colors=0008H78H78H78H78H77I67I67J67J6A66A86AA6AC6A\
  E6AG6AI6AJ6AK5AL5AM5AN5AO5AP5AQ5AR59S58T57U56U56U5\
  6U56U56U56U56U55U45U45U45U45U45U45U45U45U45U45U45U\
  45U45V45W45X45Y45Z44_34_34`34`34a34a34a34b34b34c34\
  c34c34d34d34d34e34e35f36f27f28g29g2Ag2Bh2Ch2Di2Ei2\
  Gi2Ij3Kk3Mk3Ol4Qm4Sn4Un4Wo4Yp4_q5aq5cr5es5gs5it6ku\
  6mv6ov6qw6tx6wy7zz7wz7tz7qy8oy8my8ly9ky9jy9ix9hx9g\
  xAfxAexAdxAcxAbxBaxB`xB_wBZwCYwCXwCWwCVwCUwDUwDUwD\
  UwDUvDUvEUvETvETvETvETvFTvFTvFTvFTvFSuGSuGSuGSuGSu\
  GSuHSuHSuHRuHRuIRtIRtIRtIRtIRtJRtJQtJQtJQtJQtKQsKQ\
  sKQsKQsKPsLPsLPsLPsLPsLPsMPsMPrMOrMOrMOrNOrNOrNOrN\
  OrOOrONrONqONqONqPNqPNqPNqPNqPMqQMqQMqQMqQMpQMpRMp\
  RMpRLpRLpRLpSLpSLpSLpSLoSLoTKoTKoTKoTKoUKoUKoUKoUK\
  oUJnVJnVJnVJnVJnVJnWJnWJnWInWInWInXImXImXImXImXImY\
  HmYHmYHmYHmYHmZHlZHlZHlZGl_Gl_Gl_Gl_Gl_Gl`GlbGleFl\
  hFmkFmnFnqFntFowFozFpzFpz }

frm:MandNewt10 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3):
h=z^a+(g-b)*z-g
j=c*z^d+g
z=z-k*h/j,
f <= |h| }

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