Fractal visionaries and enthusiasts:

Today's image departs from the deep theme of the month, but have no concern.  Tomorrow's image will return to the theme in style.

The parent fractal came about when I iterated the expression Z^(2.23)+C at a level 2.3 turns up the hyperspiral with the 'recip' function applied.  This parent is a sprawling, amorphic thing that looks nothing at all like the pure Z^(2.23)+C Mandeloid as it is drawn by the 'manzpower' formula.

Today's scene is located in the interior of what might be considered a Seahorse Valley, though its features bear little resemblance to what one would expect to find in a proper Seahorse Valley.

To begin, the part angular, part parabolic holes in the image are nowhere to be found in the familiar Seahorse Valley.  And nownere in the Mandelbrot set do we find the discontinuities that fill today's image.

The minibrot at the center is a reflection of the shape of the parent Mandeloid.  Recognizing the various parts is virtually impossible.  The minibrot would be somewhat better defined if it were calculated with a greater maxiter, but doing this spoils the already-shaky color scheme.

The rating of a 6.5 indicates that I am somewhat disappointed with the image.  When I named the image "The Test of Time" I was pondering the fact that even if the entire universe were to suddenly disappear, this particular scene would exist in potentia for all eternity.

The calculation time of 8-3/4 minutes is slow by everyday standards, but quite fast by very-deep-math standards.

Picture perfect weather prevailed at Fractal Central today.  In fact, with its temperature of 84F 29C, kodachrome blue skies and billowing cumulus clouds, the day could have passed for a day in the Caribbean.  The fractal cats, who have spent their lives in Pennsylvania, wouldn't know a tropical-island day from a day in the Arctic.  They were more interested in watching an unfamiliar new black-and-white cat that passed through.

The humans passed most of the day watching the over-hyped doomsday weather forecasts on the various news-and-commercial channels.  IMO, the storm will be less devastating than the news people are implying.  Here in central Pennsylvania we are expecting little more than a gusty rain on Sunday.  Things could be worse however back at Old Fractal Central down in Central Maryland, where my sister still resides.

The next FOTD will be posted in 24 hours.  Until then, take care, and the wise old hermit on the mountain top told me that if I work hard enough, I might be a Boltzmann brain some day.

Jim Muth
jimmuth@earthlink.net


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

The_Test_of_Time   { ; time=0:08:44.55-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip
  center-mag=-0.1109090974689217/-0.7516937525903022\
  /3.851973e+009/1/27.5/0 params=2.23/0/2.3/0 float=y
  maxiter=3600 inside=0 logmap=-660 periodicity=6
  colors=000F97FA7EA7DB7DB7IABNAFS9JX9Ma9Qf8Uk8Yp8`k\
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  a44e34h34l24p14s04w04zRCmZiMaUQdEUmtkzi_tcPrFEuG3g\
  HOVHgtwAcgNNS_L`SJhKHpCGx5FuCErJDoPClWBibBfhEWgGLf\
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  b8zc9zcAzcAzcBzcBzcGzcKzcOzcSzmXzm`zmdzmhzmmzmqzmu\
  zzyzzvzzszzqzznzzlzzizzgzzdzzbzzazz`zz_zz_zzZzzYzz\
  XzzXzzWzzVzzXzzVzzTzzRzzP }

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