Fractal visionaries and enthusiasts:

NOTICE!  Today's image will calculate correctly only with the new version of the SliceJulibrot4 formula, which is included in today's parameter file.  If you have the old version on file, discard it and replace it with the new version.  The new version of the SliceJulibrot4 formula includes the ability to control the escape radius with the imag(p5) parameter, which is an important part of today's image.

All images created with the old version of the formula will run correctly with the new version, but some images created with the new version may not run correctly with the old version.  If the image turns out looking like featureless chaos, it was run with the old version of the SliceJulibrot4 formula.  The correct image consists of amber elements with blue highlights, and is not at all chaotic.

The work rush continues here at FC, so today's image is another quick one.  Believe it or not, it's a scene in the Seahorse Valley area of the Mandelbrot set.  But instead of lying in the Mandelbrot orientation of the Julibrot, today's view lies in the Oblate orientation, which is determined by the imag(c) and real(z) axes.

Actually, the escape radius of today's image is 0.5, which means everything should cut off at a radius of 0.7071 from the origin.  But today's scene lies well beyond that distance, yet it is not cut off.  This is just one more in the unending string of mysteries connected with fractals.

The name "Seahorse Madness" refers to the crazy, very un-seahorse-like image.  The rating of a 7 includes more math than artistry.  The calculation time of just over one minute will pass in a flash.

Friday began sunny and hot here at Fractal Central.  By 2pm the temperature reached 91F 33C.  But a gusty thunder-shower moved in at 3pm, which dropped the temperature to around 77F 25C for the rest of the day.  Occasional showers continued until nightfall.

In the human department, the work was still at fever pitch.  The fractal cats continued sulking because, with the humans so busy, they were not getting enough attention.  The next FOTD will be posted in 24 hours.  Until then, take care, and be there.

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


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

Seahorse_Madness   { ; use new version of formula
  ; time=0:01:11.51-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1
  center-mag=0/-0.0611855/6.547727/1/-90/0
  params=0/0/90/0/-0.752/0/0.5/0/2/-8.5 float=y
  maxiter=2500 inside=0 outside=atan periodicity=6
  colors=000_uW_uX`uY`u_`u`ataatcbtdbtebtfWuePvdIwcB\
  xb5ybDwcKvdRtdYseeqflpfsngzmgyldykaxjZxiWwhTwgQvfN\
  veKudHudFpaHlZJgWKcTMZQNVNPQKRMHSHEUDBV88X45Yvvvut\
  strqtposomsmkrkirjgqhepfbpe`ocZoaXn`VnZTmXRmWPhUNc\
  SM_RKVPJROHMMGILEDJD9ICBJGDJJFJMHJPJJTLJWNJZPJaRJe\
  TJhVJkWJnXLoXNpXPpXRqYTqYVrYXrYZsZ`sZbtZdtZfuZguTf\
  sNeqHeoBdm5dl8ajA_hDYfFWeIUcKSaNQ_POZSMXUKVXITZGSa\
  EQcCOfAMh8LiDOjIQkMSlRVmVXn_Zoc`phcqlerqgsuitthtth\
  uthuthvsgvsgvsgwsgwsgxrfxrfyrfyrfyrfEHuDGsDFqDFoDE\
  mDEkDDiDDhDCfDCdDBbDB`DAZDAYIDXMFWRHVVJVSRYQZ_NeaL\
  mcJteMscOraRq_TpZVpXYoV_nTbmSdlQflOikMkjLniJphHrhG\
  gcLX_QMVVBRZGPbLOeQNiUMlZKpcJshIwlHziKvgMreOnbQk`S\
  gZUcXW`ZY__ZZ`_ZaaYbbXccXdeWefWfgVgiUhjUikTjmSknSl\
  oRmpRglUbiWYfZTccNchIcmDcr8cv3cz5cz7cz8czAczBczDcz\
  F_zGWvISsJQpLMjMJdNG_PCUQ9PR6JS3EU5DV7DW9DYBDZDD_F\
  DaHDbIDcKCeMCfOCgQCiSCkUC }

frm:SliceJulibrot4   {; draws all 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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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