Fractal visionaries:

Today's fractal was drawn with a formula still in the testing stage.  I usually don't like to draw finished images from formulas still in development, because then I must keep a copy of the unfinished formula on file so that the fractal does not become an orphan without a formula.

But except for the drawing of the parallel planes, which still doesn't work as I'd like, this version of the formula works pretty well, and it makes some very striking images, so I decided to go ahead and use it.

The fractal shows a midget on the negative tail of the classic Mandelbrot set, sliced at an angle rotated 55 degrees toward the YZ plane.  The midgets on the negative tail are shaped like long, hollow tubes in the Z dimension.  This is why the oblique slice stretches the midget horizontally.

Since the midget's main bud has become scrunched into a narrow funnel, I named the picture "Pinhead".  The finished image is waiting on a.b.p.f. and a.f.p. for those who would rather pick it up that way.

Tomorrow, I'll go for a fractal that's more art than theory.  But before I go, let me make one comment on "Jazzy on the Outside", a fractal which was posted by Les St Clair earlier today.  My one comment is, "wow! how do they do that stuff!"

Jim Muth
jamth@mindspring.com


START 19.6 FILE=============================================

Stretched_Out      { ; time=0:00:10.27-SF5 on P4-2000
  reset=1960 type=formula formulafile=jim.frm
  formulaname=XY-YZ-test02 passes=1 center-mag=-2.57\
  838/0/47.75037 params=55/0/0.7/0/0/0 float=y
  maxiter=250 inside=bof60 logmap=yes symmetry=xaxis
  periodicity=10
  colors=00000PeIRdHQdGOcGNcFLbEKbDIB9NA8O98P98Q99R8\
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  IfgK`gNVgQQhTKhVEhY9i`3iZ9hYEhWKgVPgTVfR`fRbFUdCWf\
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  mlWmmWmoVmqUmnWllYliZkg`kdbjbdj_eiYgiViiTjhShhRggQ\
  egQdgPbgOafN_fMZfMXeLWeKU }

frm:XY-YZ-test02 {; Jim Muth
; p1 = rotation angle in degrees
; p2 and p3 = parallel planes
z=sin(p1*.0174533333333)*real(pixel)+p2,
c=cos(p1*.0174533333333)*real(pixel)+flip(imag(pixel))+p3:
z=sqr(z)+c
|z| <= 16 }

END 19.6 FILE===============================================