Fractal visionaries:

I named today's fractal pinwheel because there are two versions of it.  In the version I have attached, the rays are beaming straight out from the corners.  But in another version the rays spiral out from the corners, giving the entire figure the appearance of a pyrotechnic pinwheel.

The formula combines negative exponents, positive exponents and positive and negative imaginary exponents into a design that looks quite ceremonial, and holds together surprisingly well.

I have been asked how I color my images.  The best answer I can give is that I really don't know.  I've studied landscape painting, and that seems to help.  But a fractal is an entirely new thing that needs new rules.  Most often, I simply noodle around until I find the color bandwidth that seems to work best, then, when I've found colors that work reasonably well, I fine tune the palette, sometimes hand adjusting all 256 colors.  I've saved the color map files of most of my better fractals, but I've found that a palette that works great on one picture often doesn't work at all on the next picture.

The four-dimensional animation ideas that are being discussed are quite interesting.  I've been thinking so much about the 4-D Julibrot figure lately, that in a vague sort of way I can almost see the entire monstrous object with its many buds and tendrils.  An animation would make the monster even more real.  But I'm still working on finding formulas that will draw all those unimaginably skewed slices.

Jim Muth
jamth@mindspring.com


START COMBINED FILE FOR 19.6===============================

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frm:Mytest06  {; Jim Muth
 z=c=pixel:
  z=(((z^p1)*(p2*z))^p3)^(-p3)+c,
   |z|<=100  }

END COMBINED FILE==========================================