Fractal of the Day
by Jim Muth

The Most Extreme ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- July 28, 2007   (Rating 8)

Fractal visionaries and enthusiasts:

Today's image is named "The Most Extreme", and indeed it is the most extreme image I have yet posted as a FOTD.   To start, the maxiter is 500-million and the logmap is over 1-1/2-million.   The magnitude of over 1.7*(1012) required the mathtolerance entry in the parameter file to prevent the calculation from flipping into arbitrary precision math, which would take about 300 hours.   As it is, the calculation time is only 3-2/3 hours.   And this is true on the very fast P2000 machine.   On the slow old P200 it would take close to three days to finish.   But even 3-2/3 hours is ridiculously slow, so I strongly recommend viewing the image on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

The image is a scene very, very deep in the north branch of Seahorse Valley of the Mandelbrot set.   It is so deep that I actually surprised myself when I managed to finish it.   The rating of an 8 is mostly to reward myself for the extra effort.

Perhaps the most unusual thing about the scene is the multitude of what I call "peanut holes", which I have colored a brilliant white so that they stand out in the otherwise dull surroundings.   But don't be satisfied with my color palette.   Some surprising effects can be achieved with other palettes.   On this, the fractal cats agree.

A fairly warm and humid day (84F 29C) here at Fractal Central on Friday was interrupted by a heavy thunder-shower in the afternoon.   But when the rain moved out, the sun returned.   While the rain fell, the fractal cats enjoyed it from their window.   Then their thoughts turned to food.

My day was a bit busier than normal, but I finished everything in good enough shape.   The next FOTD is due in 24 hours.   With only a tiny bit of luck, it will be ready by then.   Until next FOTD, take care, and be wary of rogue fractals.


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

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

The_Most_Extreme   { ; time=3:41:59.76-SF5 on P4-2000
  reset=2004 type=mandel params=0/0 maxiter=500000000
  center-mag=-0.75000000015519540/+0.000009999037165\
  41/1.763618e+012/1/-157.504399363283028/-0.0071528\
  7064864876532 float=y inside=0 mathtolerance=0.05/1
  logmap=1570000 periodicity=10
  colors=000GE6NE6LD6JC6HC6GDAGEDGFGGGJFHNFIQFJTFKWE\
  L_EMbENeEOh8UoEPkKKgQFdWA`a5Xi0Tg1Uf2Vd3Wc4Xa5Y`6Z\
  Z7_Y8`W9aVAbTAcSBdQCePDfNEgMFhKGiJHjHIkGJlFJlGLmHN\
  mIOmJQnKRnLTnLUoMWoNXoOZpP_pQapQbqRdqSeqTgrUhrVjrV\
  ksWmsXnsYptZqt_stYwv_tt`rraopbmocjmdhkeejfchg`fhZe\
  iXcjUakS_lPZmNXnKVKAGKAGqDQrBPsBQuBRvBSwBTtDTrETpG\
  TnHTlJTjKThLTfNTdOTbQT`RTZTTXUTVVTTUSSURQTQPTPOTOM\
  SNLSNJRMIRLHRKFQJEQIDQHBPHAPG8OF7OE6OD4NC3NB2NB4OD\
  5OF7PH8PJ9PLBQNCQPDQRFRTGRVHRXJSZKS`LSbNTdOTfPThSS\
  fUSdWSbZR``RZbRXeQVgQTiQRlPPnPNpPLrPJu`EPEPwkBvjBu\
  iBthCsgCrfCqeCpdDXDXnbDmaEl`Ek_ES3ThYCfWBeVAcCaaR7\
  `Dj_R9_SB_Tz_UGZVJZLLZXOZYQYZTY_VY`YYa_XbbXcdXdgXe\
  iVgkUhlSimRjnPkoOmqMnrLosKptMquOrvQswStxUuyWvzYwz_\
  xzayzczzezzgzzizzkzzmzzozzqzzrzzszztzzuzzvzzwzzxzz\
  yzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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


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