Fractal visionaries and enthusiasts:

Today's scene is another unfamiliar view of Seahorse Valley of the Mandelbrot set.  Actually, the scene is more a Julia set than a Mandelbrot set, being sliced as it is at an angle double rotated only 1 and 1 degrees from the true Julia orientation.

This is the kind of thing I usually pass quickly by when on the search for a worthy fractal image, but today for some reason I decided to stop halfway and make a FOTD from what I found there.

I calculated the image with the passes=b option, which works the fastest with this image.  This option misses a few insignificant loops that are caught by passes=1, but that option takes 12 minutes to calculate the scene.

The name "Sinuous Arms" does not refer to a fancy hotel; it describes the main features of the image.  I was undecided whether to rate the image at a 6 or a 7.  I finally decided on a measly 6.  If I had put more effort into the colors, I might have raised it to a 7.

Tuesday here at Fractal Central was far too hot for cat comfort, and for human comfort also, for that matter.  The temperature of 95F 35C was better suited for Arizona than Pennsylvania, and the fractal cats must have agreed.  We had a tough time getting them to move from the cool floor.

My day was reasonably pleasant.  The next FOTD will be posted in 24 hours.  Until then, take care, and don't make a pact with the fractal devil.  He always demands payment in full.

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


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

Sinuous_Arms       { ; time=0:02:29.84-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=b maxiter=15000
  center-mag=-0.4099/-0.0475/3.84 inside=255 logmap=8
  params=89/0/89/120/-0.755/0.03/0/0/2/0
  float=y periodicity=6
  colors=000N`_OY_PW_QT_RQ`SO`TL`UI`VG`WD`WB`ZEZaGXc\
  JVfLThORkQPnTNpVLsYJu_HxbFzdDyeEyeExeExeFweFwfFvfF\
  vfGvfGufGugGtgHtgHsgHsgHrgIrhIrhIqhIqhJphJpiJoiJoi\
  KniKniKniKlhLkhLihLhgMggMegMdgMbfNafN`fNZeOYeOWeOV\
  eOUdPSdPRdPPcQOcQNcQLcQKbRIbRHbRGaSEaSDaSCaSDbTDcT\
  DcTEdTEeTEeTFfTFgTFgTFhTGhTGiTGjTHjTHkTHlTIlTImTIn\
  TInTJoTJoTJpTKqTKqTKrTLsTLsTLtTLtTKrUJpUJnUImVIkVH\
  iVHgWGfWGdWFbWF`XE_XEYXDWYDUYCTYCRYBPZBNZAMZAK_9I_\
  9G_8F_8D`7B`79`68a66a54a53a76_98YBBWCDUEFSGIQHKOJM\
  MLPKMRJOUHQWFRYDT`BVb9Wd7Yg5_i3`k2_l4_l6_l8ZlAZlCZ\
  lDYmFYmHYmJXmLXmNXmOWnQWnSWnUVnWVnYVnZUo`UobUodTof\
  TohToiSpkSpmSpoRpqRpsRptQnsQlsQksQisQgsQfrQdrQbrQa\
  rQ_rQYrQXqQVqQTqQSqQQqQPqULiXIaVKcULdSNfROgPQiORjN\
  SlLUmKVoIXpHYrGZsE`uDavBcxAdy9ezAdxAcvAbuAasB`qB`p\
  B_nBZmBYkCXiCXhCWfCVdDUcDTaDT`DSZDRXEQWEPUEOSEORFN\
  PGHCFMOFLMFKKFKJGJHGIF000 }

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