Fractal visionaries:

Here's a shy little now-you-see-it-now-you-don't mandelbrot midget.  The colors must be just right for it to be picked out behind all the foreground clutter.  It is clearly visible in the attached picture, but change the palette a bit and notice how easy it is to lose sight of this elusive little fellow.  The fractal is an oblique slice of the figure that results from mixing portions of the Z^2 and Z^-1 mandeloids.

The formula is one of my favorites.  Unlike the formula I posted yesterday, which is still being developed, I have this one under enough control so that I have a general idea of what it will do. Mixing various portions of the classic Mandelbrot set with various portions of mandeloids of other orders as it does, it holds no end of surprises.

Jim Muth
jamth@mindspring.com


START FORMULA===================================================

The_Layered_Look   { ; time=0:00:11.04-SF5 on P4-2000
  reset=1950 type=formula formulafile=basicer.frm
  formulaname=MixSqrProJulib passes=t
  center-mag=-1.90264/0/0.2925241 params=0.2/-2.5/\
  -1/0.13/-0.487442/0 float=y maxiter=750 inside=253
  logmap=yes symmetry=xaxis periodicity=10
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frm:MixSqrProJulib {; Jim Muth
z=pixel, a=real(p1), b=imag(p1),
c=real(p2), d=imag(p2), e=(d*pixel):
z=(a*sqr(z))+(b*z^c)+p3+e,
|z| <= 100 }

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