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Jan. 17, 2014: Divine Revelation Jan. 16 Jan. 18 2014 FOTD Home
Rating A-9, M-5

divine revelation

Fractal visionaries and enthusiasts:  

Yesterday's garish image shows what happens when low-order minibrots are decorated with brilliant colors.  Today's subtly colored image shows what happens when the colors are kept to a minimum.  Instead of the carnival-like atmosphere, we have a fractal that could be a divine vision.

Being a marginally religious person, I named the image "Divine Revelation".  The brilliant light in the upper left of the scene may be identified as any divine thing or person the viewer chooses.  And skeptical Atheists could even consider this light to be just another feel-good delusion of the superstitious and gullible.

The generating expression is Z^(1.15)+C as iterated 15 levels up the hyperladder with the 'recip' function applied.  The odd value of the maxiter is actually one less than 2^(15), and was once the maxiter limit of Fractint.  This large value slows down the calculation but also increases the definition of the brilliant minibrot, which is nearly hidden in the glare and can be more clearly seen by changing its inside color to black.

The art rating of a 9 is again overblown, but at least in my opinion, the image is worth the rating.  The math rating of a 5 is more honest.  I have been doing these very low-order minibrot images for quite a few years, and today's image brings nothing new to the world of fractal math.

The calculation time of 5-1/4 minutes is true on my fireball machine.  On a lesser or greater fireball, the time could be much slower or faster.  As always, visiting the FOTD web sites will end all timing worries.

The clouds moved in just after sunrise today here at Fractal Central and hung overhead for the rest of the day, while the temperature of 39F +4C kept the outside conditions quite bearable.  The forecast is not so pleasant however, since we expect up to several inches, or about 8cm, of snow tonight and tomorrow.

The fractal cats had a typical contented cat day.  A little more sun would have made them happier however.  The humans, never fully contented, once again made it through the day with nothing to bring serious discontent.

The next FOTD will be posted when it is ready, but no sooner than the evening of the 18th Eastern Standard Time.  Until whenever, take care, and if the investigations of rational science stopped finding things that cause people to question their religious beliefs, quite a few people would be more content.

Jim Muth
jimmuth@earthlink.net


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

Divine_Revelation  { ; time=0:05:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandelbrotBC3 function=recip passes=1
  center-mag=-1.703119592947089/+1.737103617718856/\
  5.644438e+011/1/95/0 params=1.15/0/15/0 float=y
  maxiter=32767 inside=255 logmap=-470
  periodicity=6 mathtolerance=0.05/1
  colors=00064875986A97BA8CB9DCAEDAFE9GFAKGBKHCUIDUJ\
  EUIGUHIUFKUEMUGOZIQZKSZNUcPWcSYhU_hXahZchaehcghfih\
  hkhjmhkohoqhqshquhtwhwwhwwhwwiwwjwwkwwlwwmwwnxxoyy\
  pzzqzzrzzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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