Fractal visionaries and enthusiasts:

Today's image keeps us in Seahorse Valley.  The image is centered on the real(X) axis, just west of the valley itself.  The orientation of the slice is double rotated 5 and 5 degrees from the actual Julia direction, which is close enough that the outer shape of the Julia set of Seahorse Valley can clearly be recognized.

The multi-colored arms thrusting into the outer Julia shape from the sides are part of the Mandelbrot aspect of Seahorse Valley.  The open upper half of the fractal is part of the main period-2 Mandelbrot bud; the lower half is part of the main bay.  The colorful decorations are stuff that mostly lies in the perturbed Mandelbrot sets.

Due to its fancy colors, I rated the image at a 7.  The name "Seahorse Games" was inspired by the colorful trimmings, such as might be seen at a birthday party.

The calculation time of 14 seconds is a real bargain.  The trip to view the finished image on the FOTD web site at:

       http://www.Nahee.com/FOTD/

is equally brief, and more convenient than running the included parameter file.

Wednesday began with fog here at Fractal Central, but by 10am the fog cleared off, leading to a day with total sun, just what the fractal cats needed to keep them happy.  The temperature rose from a sunrise 28F -2C until it reached a very typical 54F 12C in mid-afternoon.

My day was average, which is pleasant enough but leaves little to discuss.  FL had a similar day.  The next FOTD, a trip to a different part of the Julibrot, will be posted in 24 hours.  Until then, take care, and who's behind those wacko conspiracy theories that the radiation emitted by cell phones is unsafe?  If the phones were unsafe, the phone companies would be warning us, just like the tobacco companies warned us about the dangers of smoking cigarettes.

Jim Muth
jamth@mindspring.com


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

Seahorse_Games     { ; time=0:00:14.77-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=1
  center-mag=0/-0.025052/0.85034 params=85/0/85/90/\
  -0.764/0/0/0 float=y maxiter=2500 inside=0
  logmap=yes symmetry=yaxis periodicity=6
  colors=000REQSESUEUWEXYFZ_G`aHbcIeeJigKmiLqkMtmNwk\
  OziPygQxeRwcSvaTu_UtYVqWWnUXkSYiQZfOZcMYaKXZIWWGVU\
  EURCTOASM8RJ6QG4PE5OF5NF5MF5LF5KG5KG5KG5KG6KH6KH6K\
  H6KH6KI6KI6KI6KI8KH9KGALGBNFDQEESEFUDGWDIZCJ`BKbBL\
  dAMfAQbET_IWXMZUQbQTeNXhK`kHdnEgoFfoFepFdpGdqGcqGb\
  rGarHasH`sH_sH_uL`vO`wR`xVayYaz`asaYlaUebRZbNScKLc\
  GEdD7d91d5AdFFdPKeZUeccehmfhlfdiecfdbcca`b`Za_W`ZT\
  _YQZWNYVLXUIWTFVSCUR9TQ7TPEXOL`OSdNZgNcdRMlCOpDMlC\
  LiCMfCNcCO`CPYBQVBSSBUPBWMBYJB_GAaDAcAAc7Ac4Ac1Ac3\
  Cc5Dc6Ec8Fc9HcBIZCJUEKPFMKHNFIOAKP5MR3NS3PT3QU3SW3\
  TX4VY4W`4Yc4Zh4`m4ar4cv4ez4fz5iz5jz5lz5nz5oz5oz5pz\
  5pz5pz3qz5qz6qz8rz9rzBrzCszDszFszGtzItzJtzKuzMuzNu\
  zPvzQvzSvzTwzUwzWwzXwzZwz_wz_wzawzbwzcwzdwzewzfwzh\
  wziwzjwzkwzlwzmwzowzpwzqwzqwzqwzqwzqwzrwzrwzrwzrwz\
  rwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrw\
  zrwzrwzrwzrwzrwzrwzrwzrwz }

frm:SliceJulibrot2   {; draws most slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

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