; July 31, 1997: Nested Cogwheels
;
; cogwheels
;
; Fractal visionaries:
;
; For the month of August I've decided to devote less energy to the
; technical side of fractals and more to the artistic side.  True, the
; four-dimensional julibrot figure with its odd slices is fascinating, but
; an infinity of fractals is waiting to be discovered in the good old
; Mandelbrot and Newton's worlgs.
;
; I'm certainly not going to abandon my exploration of the julibrot.
; Every time I examine it I find something new and interesting.  I'm
; rather going to try to divide my time evenly between all the various
; classes of fractals.
;
; Today's fractal is a good start.  The formula is one of my test formulas
; that I wrote a while back and then forgot.  But it's really quite an
; interesting formula, with its tiny portion of opposite signed imaginary
; powers cancelling out the negative X-axis discontinuity.
;
; I named the picture "Cogwheel" because it reminds me of some fantastic
; train of gears and gear belts.  Look close and you'll find the classic
; Z^2 Mandelbrot figure hiding behind the scene.
;
; The finished image has been posted to alt.binaries.pictures.fractals and
; alt.fractals.pictures.  For tomorrow, the sky is the limit.  I'm going
; bring up a few more of those old test formulas and see what I can find.
;
; And as I promised in yesterday's letter, I've decided on descriptive
; names for the four odd slices of the julibrot.  Here they are: they
; describe the appearance of the slices in question through the julibrot
; origin.
;
; XY = Mandelbrot planes
; ZW = Julia planes
; XZ = Parabolic planes
; XW = Elliptic planes
; YZ = Oblate planes
; YW = Rectangular planes
;
; When I return to the julibrot figure, I'll be using those names to
; describe the planes I'm referring to.  That way we'll avoid confusion.
;
; Jim Muth
; jamth@mindspring.com
;
; START 19.6 FILE=============================================

Nested_Cogwheels   { ; time=0:00:08.07-SF5 on P4-2000
  reset=1960 type=formula formulafile=jul-97.par
  formulaname=Mytest10 passes=1 center-mag=-0.472468\
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  periodicity=10
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}

frm:Mytest10  {; Jim Muth
  z=c=pixel:
  z=z^p1+p2*((z^p3)^(-p3))+c,
  |z|<=100
}

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