;     Date: Sun, 22 Feb 2004 12:47:03 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 22-02-04 (Where are the Elephants [3])
;       Id: <1.5.4.16.20040222124944.2267a3e0@pop.mindspring.com>
; ---------
; 
; FOTD -- February 22, 2004 (Rating 3)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is not particularly attractive.  I warned that the 
; odd planes of the Julibrot can sometimes be stressful to look 
; at.  But it is still an interesting view of what happens to the 
; elephants in East Valley when the angle of view is changed to 
; something totally new.
; 
; In today's image we have stationed ourselves at the origin of 
; the Julibrot, which is also the origin of the Mandelbrot set, 
; and we are looking east toward East Valley.  The four-
; dimensional Julibrot figure is oriented in our 3-D space so that 
; the X-axis of the image is the imag(z) axis of the Julibrot and 
; the Y-axis is the imag(c) axis.  What we see looking east has 
; been stretched 250 times in the vertical direction.  If this had 
; not been done, the image would have consisted of nothing but a 
; few horizontal lines and bars.
; 
; And after stretching the scene, what do we see?  East Valley is 
; sometimes called Elephant Valley because the features there 
; resemble elephants.  The name is well earned.  The East Valley 
; features resemble elephants more closely than the Seahorse 
; Valley features resemble seahorses.  But here we are in East 
; Valley, and "Where are the Elephants"?
; 
; The elephants are all around us, but only bits and pieces of 
; them are recognizable.  Look closely and you will see parts of 
; trunks here and there, half-elephants touching trunks, and 
; disembodied parts of bodies scattered about in a totally 
; disorganized manner.  The elephants are here indeed, but we have 
; missed them, for, though they lie very near, they are in the 
; fourth dimension, leaving us only hints of their true nature.
; 
; After careful consideration, I decided today's image was worth 
; no more than a rating of a below-average 3.  This rating 
; combines with the render time of 2-1/2 minutes to give an 
; overall value of 119.
; 
; The finished image has been posted to Paul's FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; from where it may be conveniently downloaded.
; 
; The Saturday temperature of 50F 10C was fair enough here at 
; Fractal Central, but the wind, which gusted to over 40mph 64kph 
; was far too much for the cats, who spent most of the day sitting 
; on their shelf by the window, watching the trees blowing and the 
; birds flying by.  An extra treat of tuna in the evening restored 
; their good spirits.
; 
; With nothing much to do for the rest of today, I am going to do 
; nothing much.  Sometime this evening I'll see what I can find in 
; the Julibrot that will rate higher than today's 3.  Until next 
; time, take care, and there are more wonders in the fourth 
; dimension than can be imagined by the mind of man.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

WheresTheElephants { ; time=0:02:31.05--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=SliceJulibrot2 passes=1
  center-mag=-0.00704999421812261/+0.295991068831446\
  40/742.8395/0.004019/90/1.912220382038754e-013
  params=90/90/0/90/0.27555/0/0/0 float=y
  maxiter=10000 bailout=9 inside=0 periodicity=10
  colors=000GsLJnNLjPOfQQbSTZUVVVYRX_NYZJ`ZGbZDdYAfY\
  7hY4jY1lS8cNEWHLNCRF7X7A_ECbLFeSHhYJkdMnkOqrQsxNmr\
  KhlIcfFZ`CUVAPP7KJ5FEDLHLRJSXM_bOfhRnnTutVtfQsULrG\
  Gq3C`3IK3OTBY`IfhPoZTcQWSHZG8a5CdCGgJKjQOmXSpbQoVO\
  nONnGLm9Km2QdJVW__OpZSqYWrX_sWbtVfuUjvTnwSqxPiyMby\
  JVyHOyEGyB9y92yB1vC1sD1qF0nG0kH0iI4mI8pICsIGvIKyAU\
  u2cr3`q4Yq4Vp5Sp5Po6Mo6Ko9IkCGgFFcID_KBXNATQ8PT6LV\
  5IU9OTCUSGZRJdQNjPQoSTkUVhWYeY_a_bZbdWdgSfiPhlMjnI\
  mqFosCqv8sx5uz2qx5nv7ju9gsBdqD`pGYnIVlKRkMOiOLhQIj\
  TGlWEmZCoaAqd8rg6tj4vm2wpFniSebdXWpPPtdOwsNsrLprJm\
  rHjrFgrDdrBar9Zr7o1Yk7_hCaeIcbNe_TgWYiTckQhmNnoKsq\
  GokDkeAh_7dU4aOLhGao9rv2mt5is7dr9`qBWoDSnFNmHJlJEj\
  LAiN5hP1gR4eV7dYAc`DbcGafJ`iM_lPZoSYrUXuTVtSUtRTsQ\
  SsPRsOQrNPrMOrLMqKLqJKpIJpHIpGHoFGoFFoEKqDOrCSsBWt\
  A`v9dw8hx7ly6pz9lyBiyDeyFbyI_yKWyMTxOPxRMxTJxVFxXC\
  xZ9xUCxPExKGxeOf_WaTcWMkQ }

frm:SliceJulibrot2   {; draws most slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

; END PARAMETER FILE==================================
;