;     Date: Mon, 23 Feb 2004 10:48:41 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 23-02-04 (The Fractal Hill [7])
;       Id: <1.5.4.16.20040223105121.0d6f2f30@pop.mindspring.com>
; ---------
; 
; FOTD -- February 23, 2004 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Though today's image might not be the most beautiful scene ever 
; discovered in the Z^2+C Julibrot, it must be one of the most 
; unusual.  Viewing the image, we once again find ourselves in the 
; East Valley area, but what has happened to the valley we know so 
; well?  Where are the elephants?  In today's image there is not 
; the slightest sign of the ponderous pachyderms that live in the 
; vicinity.
; 
; Don't panic.  The elephants have not stampeded off.  They have 
; simply been squashed beyond recognition, leaving us with some-
; thing that resembles a surrealistic mathematical hill standing 
; on an alien planet, under a very earthly blue sky, complete with 
; a haze layer near the horizon.
; 
; Nothing beyond the basic equal-iteration bands has been used to 
; render the scene.  The only extraordinary aspect of the image is 
; the fact that it has been stretched in the vertical direction 
; almost 100000 times.  Things become quite squashed as we near 
; the tip of East Valley and view it from the unimaginable direc-
; tion of today's image.  The stretching I did on the image was 
; necessary so that it would consist of more than a straight, 
; featureless razor-edge.
; 
; I named the image "The Fractal Hill".  It does rather resemble 
; a hill, and it most certainly is a fractal.  I put some extra 
; effort into coloring the scene, which raises its rating to a 7.  
; When the render time of over 10 minutes is considered, the 
; overall value comes in at a 67.
; 
; And when the pre-rendered image is downloaded from Paul's web 
; site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; the value increases several-fold.
; 
; With lots of sun and a temperature of 50F 10C, Sunday was fair 
; enough here at Fractal Central.  The cats must have thought so 
; also, because they spent over three hours lounging in the yard, 
; and when they came in, only a small bit of tuna was needed to 
; keep their moods up.  Today is starting sunny and pleasant once 
; again.  We shall see how the cats' day goes.
; 
; For me, it will be another relatively uneventful day -- that is 
; unless finding a great fractal can be considered a big event.  
; Regardless of what happens, the next FOTD will appear in 24 
; hours.  Until then, take care, and there's a hill beyond the 
; hill beyond the hill . . .
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

The_Fractal_Hill { ; time=0:10:23.02--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=SliceJulibrot2 passes=1
  center-mag=+0.25009805052166050/+0.519661012667224\
  50/28984.82/9.451e-005/90/3.64113739159677152e-011
  params=45/90/0/0/0/1e-006/0/0 float=y
  maxiter=100000 inside=255 logmap=297 periodicity=10
  colors=000PNzQOzRPzSQzTRzUSzVTzWUzXVzYWzZXz_Yz`Zza\
  _zb`zcazdbzeczfdzgezhfzigzjhzkizljzmkzmlzmmzmmzmmz\
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  zmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzm\
  mzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmz\
  mmzmmzlmzlmzkmzkmzkmzjmzjmzimzimzimzhmzhmzhmzgmzgm\
  zfmzfmzfmzemzUmLUmMUkLUjLUiLUgLUfLUeLUdLUbLYaLZ`M_\
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  l_bl_bm_bm_bn`cm_bm_bm_bm`em`emaemaembembdmcdmcdmc\
  dmccmccmccmccmcbmcbmcbmcb }

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==================================
;