FOTD 26-10-12 (Lake of Dreams [9.5])

26 Oct 2012

      FOTD -- October 26, 2012 (Rating 9.5)

Fractal visionaries and enthusiasts:

Today's image is a rerun, but it is such a good rerun that I 
gave it a superior rating of 9-1/2.  The image is a scene in the 
Seahorse Valley area of the Z^2+C Julibrot, sliced in a 
direction about halfway between the Oblate and Rectangular 
orientations.

The reason for the name "Lake of Dreams" will be obvious once 
the image is viewed.  The ripples on the 'water' appear in 
perfect perspective, while the coloring so closely resembles 
water that it makes me thirsy.

The calculation time of 45 seconds will add to the enjoyment.

Enjoy the serenity of rippling water by viewing the finished 
image on the FOTD web site at:

      <http://www.crosscanpuzzles.com/Archives.html>

without the inconvenience of calculating it.

A high-definition rendering is online at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

and the back images are available at:

       <http://www.Nahee.com/FOTD/>

The clouds hung tough here at Fractal Central today.  Fractal 
cat Nicholas carefully checked the hall closet to be sure Cassie 
was not in there, then settled on the scratching post for most 
of the afternoon.  The humans once again made it through the 
afternoon with nothing to report.  The next FOTD will be posted 
on Sunday.  On Saturday I'll be in Baltimore, checking Old 
Fractal Central to see it it's prepared for a big storm expected 
early next week.

Jim Muth
jimmuth@earthlink.net

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

Lake_of_Dreams     { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.130564/0/\
  2.314276/1/90/0 params=40/90/0/90/-0.75/0/0/0/2/0
  float=y maxiter=100000 inside=255
  logmap=yes periodicity=10
  colors=000Q0hR2iS5jT8kUPnVSmWTnXVoYXpZZq_`r`bsadtb\
  fuchvejwfkwglxfkzekwdjvciubhtagrafq`ep_doZcnYbmXak\
  X`jW_iVZhUZgUYgTXfSWdRVcRUbQTaPS`OR_NQYMPXMPWLOVKN\
  UJMSILRHKQGJPGIOFHNEGLDFKCEJBDIBCHABG9AE89D78C67B5\
  6A55944733622511400320640860A80AA09C09E08G07I07K06\
  M36O65Q94SB4U93W83Y62_41a31c10c6Ib5Ha5Ha5H`5G_5GY5\
  GY5GX5FW5FW5FV5FV4EU4EU4ET4ET4DS4DR4DR4CQ4CQ4CP4CP\
  3BO3BO3BN3BM3AM3AL3AL3AK39K39J39J39I28H28H28G27G27\
  F27F27E26D26D26C26C15B15B15A15A1491481481371371361\
  3602502502402301301201201100100000AKQAKmAKmAKmAKmA\
  KmAKmAKMAKLAKKAKKAKJAKJAKIAKIAKHAKGXKGWKFVKFTKESKE\
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  LOEKNDJLCHKCGIBFHAEF9CE8BC7AB68A678567455334222111\
  0ENuDMsDLrL4dL4dL3eL3eAAA }

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

Jim Muth

david

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