Fractal visionaries and enthusiasts:  

Today's image is a scene in Seahorse Valley of the Mandeloid that results when the expression Z^(1.5)+C is iterated 1.5 turns up the complex logarithmic hyperspiral.  The hyperspiral is a kind of hyper-dimensional screw that results because the complex log function is multi-valued and can be sliced at any level desired.

Today's parent fractal resembles a distorted Mandelbrot set rotated so that the large bud faces northwest.  Today's image lies in the southwest branch of the valley that encloses this bud.

I named the image "Pinwheels in the Dusk" because this is what came to mind when I first saw the image.

The art rates an 8 since the subdued colors reflect my negative but unfortunately correct outlook on the world.  The math rating of a 6 shows that no new surprises lie in the math aspect.

The calculation time of 2-1/2 minutes will pass fast enough, and if for some reason it does not, the web sites can bring relief.

Lots of clouds dimmed the sun here at Fractal Central today, but the temperature of 77F 25C kept things quite pleasant.  The fractal cats and humans had an equally pleasant day.

As for the next FOTD, it will be posted when the time is right.  Until the right time arrives, take care, and everyone loves a mystery.  To me, the greatest mystery of the present era is why 'terrorists' are so filled with anger that they are willing to sacrifice their lives.  People do not willingly die simply because, as we hear so often on the news, they hate freedom, (whatever this is supposed to mean).

Jim Muth
jimmuth@earthlink.net


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

PinwheelsInTheDusk { ; time=0:02:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=BranchCutGenHJ2 passes=1 maxiter=1500
  center-mag=-0.5490397032900621/+0.5770322366739224\
  /3.621379e+012/1/35/0 params=1.5/0/0/2.15 float=y
  inside=0 logmap=396 mathtolerance=0.05/1
  colors=000LEkKDjJCiIBhHAgG9fF8eE7dD6cC5aC5`B5ZB5YA\
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  HBzF9zD8zB6z9Pz7Oz5MzlMzl }

frm:BranchCutGenHJ2     { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*Z+p2)+C,
|Z|<100 }

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