; July 28, 1997: Angular Iterations 
;
; angular
;
; Fractal visionaries:
;
; Every so often I discover something entirely new and completely
; unexpected in the mandeloid family.  Today's image is one of those
; discoveries.  It's actually part of the order 2.0029 julibrot figure,
; sliced in a direction slightly removed from the Julia planes in the area
; of the East valley of the prominent negative X-axis midget.
;
; At a power of 2.0029, the midget has just begun to split apart,
; revealing lots of interesting new stuff to explore, both at the positive
; and negative ends.  When I went to the Julia set of the positive end of
; the midget, I suspected that something unusual might lie there, but I
; never expected the crazy square spirals that appeared when I turned
; slightly from the Julia direction.
;
; These unusual square-spiral objects are extremely localized inside a
; sharp-edged rectangular box, the edge of which exists just beyond the
; borders of today's picture.  This little rectangular area just outside
; today's image may be the most incongruous I've yet found.
;
; One more point of curiosity -- the image makes the largest 640x480 gif
; file I've yet saved -- over 360kb.  The fractal is a rather slow one, so
; it might be advisable to pick it up from a.b.p.f. or a.f.p. where it has
; been posted.
;
; For tomorrow -- who knows -- I might do further exploring in this crazy
; area I've just run into.  There's only one way to be sure -- wait and
; see.
;
; Jim Muth
; jamth@mindspring.com
;
; START 19.6 FILE=============================================

Angular_Iterations { ; time=0:01:46.06-SF5 on P4-2000
  reset=1960 type=formula formulafile=jul-97.par
  formulaname=JulibrotZpwr passes=1
  center-mag=-0.00019376290852973/+0.072384826150150\
  07/745.861/1/17.5/0 params=2.0029/0/-1.7438/0/0.00\
  13/0.0013 float=y maxiter=1200 inside=bof60
  logmap=yes periodicity=10
  colors=000C_6C_6C_6C_6C`6C`6C`6C`6C`6C`6C`6Ca6Ca6C\
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  KKLJKLJJMIJMIIMHIMHHNGHNG
}

frm:JulibrotZpwr {; Jim Muth
  ; Draws oblique XY-ZW slices of order n Julibrot Figure
  ; P1 defines power of Z, P2 sets center of slice
  ; P3 sets angle of slice
  z=pixel, c=p2+(pixel*p3):
  z=z^p1+c,
  |z| <= 100
}

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