; July 22, 1997: Bullet 
;
; bullet
;
; Fractal visionaries:
;
; Today's fractal looks like a burgundy bullet caught by a stop-action
; camera.  Even the shock wave is visible, so I named it "Bullet".
; Actually, it's a midget in the XW plane, where everything resembles a
; parabola with the open end in the positive direction.  Don't let the
; maxiter of 3,000,000 worry you; all the open areas are periodic, and the
; picture draws in under 2 minutes.
;
; The picture raises an interesting question -- what feature is to be
; considered the entire midget -- the bullet-shaped central area, or the
; vertical band partially obscured yet still clearly visible through the
; parabolic chaos?  This band must be part of the midget because it forms
; part of the midget's boundary.
;
; The breaks in the overlying chaos, where this dark band shows through,
; represent all the perturbed Mandelbrot sets with purely imaginary
; starting points, where parts of this particular midget are visible.
; Here again, we have an example of the totally different behavior of the
; low and high iteration parts of the fractal.  This different behavior
; demonstrates that regardless of where a point starts, if it doesn't
; escape first, it will eventually settle into the same orbit as a point
; that started at 0,0.
;
; And right now, I'm going to settle into my favorite chair to watch the
; evening news on TV.  Today's finished product has been posted to
; a.b.p.f. and a.f.p. as always.  For tomorrow -- I don't know.  We'll see
; when the time comes.
;
; Jim Muth
; jamth@mindspring.com
;
; START 19.6 FILE=============================================

Bullet             { ; time=0:00:13.40-SF5 on P4-2000
  reset=1960 type=formula formulafile=jim.frm
  formulaname=XY-XWrotation passes=1
  center-mag=-0.00594679/0/3.26976/5.4395
  params=89.99/0/0/0/-1.7545/0 float=y
  maxiter=3000000 inside=0 logmap=yes periodicity=10
  colors=000OFFNFELFCKFBIE9HE8FE6DE5AF3CF4DE5FE6HE7I\
  E8KD9MDANDBPDCRCDSCEUCFWCGXBHZBI_BJaAKcALdAMfANh9O\
  i9Pk9Qm9Rn8Sp8Tr8Uv3Qs7TqCXnG_kKbiPffTicXl``oZesWi\
  vXiuXhuYhtZgs_gr_fr`fqafpaepbeocdnddmdcmeclfbkgbkg\
  bjhaiiahi`hj`gk_fl_el_emZdnZcnYcoYbpXaqX`qW`rW_sWZ\
  vU_tVZqXYoYYlZXj`WgaVebUbcT`eTYfSWgRTiQRjPOkOMmOJn\
  NHoMEpLCrK9sJ7tJ4vI2wH2vI3tJ3sK3qL3pM4nN4mN4kO5jP5\
  hQ5gR5eS6dT6bU6aV6_W7ZX7XY7WY8UZ8T_8R`8Qa9Ob9Nc9Mc\
  8Lb8La8K`7K_7KZ7JY7JX7JW7JW6IV6IU6IT6HS6HR6HQ5GP5G\
  O5GN5FM5FL5FK4EJ4EJ4EI4EH4DG4DF3DE3CD3CC2BB3CC3CD4\
  CE4CF4CF4CG5CH5CI5DJ6DK6DK6DL6DM7DN7DO7DP7DP8DQ8DR\
  8DS9DT9DU9EU9EVAEWAEXAEYBEZBEZBE_BE`CEaCEbCEcCEcDE\
  dDFeDFfEFgEFhEFhEFiFFjFFkFFlEElFFlFFlGGlHHlHHlIIlI\
  JlJJlKKlKLlLLlMMlMNlNNlNOlOPlPPlPQlQQlRRlRSlSSlSTl\
  TUlUUlUVlVWlWWlWXlXYlXYlYZlZ_lZ_l_`lAPC8PA7P98OAbI\
  T`IS_IQYHPXHNVHMTHKSGJQGH
}

frm:XY-XWrotation {; Jim Muth, thanks to Benno Schmid
  ; p1 = rotation angle in degrees, p2 = parallel planes
  ; p3 = point of rotation and parallel planes
  z=sin(p1*.01745329251994)*flip(imag(pixel))+p2,
  c=cos(p1*.01745329251994)*flip(imag(pixel))+real(pixel)+p3:
  z=sqr(z)+c
  |z| <= 16
}

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