Fractal visionaries and enthusiasts:

The rating of a 6 that I gave to today's image might be a bit conservative.  The image trick is one I have often used before, and this repitition held down the rating a point or two.

The outer shape is a Julia set of East Valley of the Z^(1.4142)+C Mandeloid.  The chaotic stuff along the 'horizon' inside the Julia set is a grossly enlarged view of the north shore line of the East Valley, rotated so that its edge cuts straight and level across the scene.

The sickle-shaped stuff scattered about the lower part of the Julia set is made of the same stuff fractal trees are made of.  In fact, only a small tweaking of the parameters will produce a fractal tree.

The name "The Infinite Ocean" means just what it implies.  The number of fractals is infinite, and the individual fractals are also infinite.  This produces a total of (infinity)*(infinity) possible fractals.  But do not be too overwhelmed.  Infinity multiplied by infinity is still infinity.  (Infinity must be raised to the power of infinity to produce a higher infinity.)

Today's image finishes on my 2000mhz machine in 13 minutes -- quite slow for an image with a rating of a 6.  Visiting the web site defeats this slowness however.

The day began with fog here at Fractal Central.  The fog lifted by 10am, but the sun was filtered by a veil of higher clouds for the rest of the day.  The temperature of 75F 24C left nothing to be desired however.

The fractal cats were exhausted by yesterday's boisterousness, and spent most of today sleeping.  The human beings, being human, did human things.  The next FOTD, an abstract thing, will be posted in 24 hours.  Until then, take care, and I really do enjoy the way this crazy world keeps getting crazier.

Jim Muth
jimmuth@earthlink.net


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

The_Infinite_Ocean { ; time=0:13:02.47-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=t maxiter=100000
  center-mag=-0.187793/0/0.8130081/1/-90/0 float=y
  params=89.99/0/89.99/-78.25/0.13/0.00037/0/0/\
  1.4142/0 inside=0 logmap=yes periodicity=10
  colors=000D8JE9KFAMGBOHCQIDSJEUKFVLGWMHXNIYOJZPK_Q\
  LaRMcRLdSLeSKfTJgTJgUKgUJgUJgVKgWLiXLkYMlZNmZQmZSl\
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  7Y_7WZ8UX8SU9QS9OPAMNAKKBIIBGFCEDCDBDCDEDEFEFGFGHG\
  HIHIJIKKJLLKMMLNNMOONPPORQPSRQTRRUSSVTTWUUYVUZWU_X\
  U`YUaZVb_Vd`WeaXfbXgcYhdZidZidZjcYkbYkaXl`XlaXmbWm\
  cWmcWncVncVocUocUocUpcTpcTqcTqcSqcSrcRrcRscSscTsbU\
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  ZzLZzKZzJZzIZzHZzGZzFZzEZzDZzCZzBZzAcz9cz8cz7cz6cz\
  6cz6cz6cz6cz6cz6cz6cz6cz5cz5cz4cz4hz4hz3hz3hz3hz6h\
  z8hzAhzAhzAhzAhzAhzAhzAhzAhzAhzAmzAmzAmzAmzAmzAmzA\
  mzAmzAmzAmzAmzAmzAmzAmzAmzAmzArzArzArzArzArzArzArz\
  ArzAwzAwzAwzAwzAwzAwzAwzAwzAwzAwzAwzAwzAwzAwzAwzAw\
  zAwzAwzAwzAwzAwzAwzAwzAwz }

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