; June 10, 1997: Waves in the Night 
;
; waves
;
; Fractal visionaries:
;
; About eight years ago, when I saw the Mandelbrot set appear on my screen
; for the first time, the first area I examined was Seahorse Valley.  I
; don't think it had been given its name yet, but it was the most
; interesting area of the whole set.  Since that time, Seahorse Valley,
; located at -0.75, has been my favorite place to go when I wanted a good
; fractal with as little work as possible.
;
; I never did find a seahorse as convincing as the elephants parading out
; of East Valley; I saw only their tails.  But that doesn't matter -- I'm
; sure the seahorses are there.  Otherwise, why would it have been named
; Seahorse Valley.
;
; Today's fractal, which I named "Midnight" because of the somber colors,
; is an oblique slice of Seahorse Valley, best viewed in reduced light.  I
; won't even attempt to describe the orientation of the slice.  I can say
; only that it is near horizontal, but off to the side and tilted at
; something like a 10 degree angle.
;
; These oblique planes of the M-set are filled throughout with swirling
; and stretching elements, much as in today's image.  But the rippling
; effect where the two prominent center elements skew off the plane of the
; screen is new to me.  Nothing like it appears anywhere in the classic
; Mandelbrot or Julia sets.
;
; I'm becoming a bit hooked on the oblique slices of the Julibrot, which
; are virtually unexplored.  When that happens there's nothing to do but
; explore like crazy until my enthusiasm runs its course.  So bear with me
; if I post a few more oblique images.  I'll soon return to fancier
; fractals.
;
; As is always the case, the finished image has been posted to a.b.p.f.
; and a.f.p. for convenience.
;
; Jim Muth
; jamth@mindspring.com
;
; START COMBINED FILE FOR 19.6===============================

Waves_in_the_Night { ; time=0:02:19.78-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=Man-YZ-XZ passes=t center-mag=1.25579\
  /-0.144754/25.40284 params=0.16/0.75/0.1/0 float=y
  maxiter=14400 inside=253 logmap=10 periodicity=10
  colors=0008CC8BB8BB7AA7997986876866755745645635524\
  514404405515515626626636736746747857857967967968A7\
  8A78A88B88B99B99CA9CA9CA9DBADBAECAECAEDAFDBFEBFEBG\
  FBGFBGFCHGCHGCHHCIHCIIDJIDJJDJJDKKDKKEKKELLELLELME\
  MMFMNFMNFNOFNOGOPGOPGOPGPQGPQHPRHQRHQSHQSHRTIRTIRT\
  ISUISUISVJTVJTWJUWJUXJUXKVYKVYKVYKWZKWZLW_LX_LX`LX\
  `LYaMYaMZbMZbMZbM_cN_cN_dN`dN`eN`eOafOafOafObgObgP\
  chPchPciPdiPdjQdjQekQekQekPdiOdhOdgNceNcdMccMcbLba\
  Lb_KbZKbYJaXJaVIaUIaTH`SG`RG`PF`OF_NE_ME_LD_JDZICZ\
  HCZGBZEBYDAYCAYBBXCBXKBXKCXKCXKCXKCXKDXUDXUDXUDXUE\
  XUEXUEXUEXUFXUFXUFXUFXUGXUGXUGXUGXUHXcHXcHXcHXcIXc\
  IXcIXcIXcJXcJXcJXcJXcKXcKXcKXcKXcLXmLXmLXmLXmMXmMX\
  mMWmMWmNWmNWmNWmNWmOWmOWmOWmOWmPWmPWmPWmPWmQWmQWmQ\
  WmQWmRWmRWmRWmRWmSWmSWmSWmSWmTWmTWmTWmTWmUWmUWmUWm\
  UWmVWmVWmVWmVWmWWmWWmWWmWWmXWmXWmXWmUUmUUmUUmUUmUU\
  mUUmUUmUUmUUmUUmCDFUUmUUm
}

frm:Man-YZ-XZ {; Jim Muth, Thanks to Benno
  ; p2 = 0 = Julibrot YZ plane
  ; p2 = 1 = Julibrot XZ plane
  ; p2 = >0 <1 = Oblique planes
  z=real(pixel)+flip(real(p1)),
  c=imag(pixel)+flip(imag(p1)),
  a=p2, b=flip(cos(asin(p2))):
  z=sqr(z)+((a+b)*c),
  |z| <= 25
}

; END COMBINED FILE FOR 19.6=================================
;