;     Date: Sun, 29 Nov 2009 13:17:12 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 29-11-09 (Emerging Rectangle [No Rating])
;       Id: <1.5.4.16.20091129131709.232715e8@pop.mindspring.com>
; ---------
; 
; FOTD -- November 29, 2009 (No Rating)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image could have been named "The Big Bang".  It shows 
; the beginning of one of the strange rectangles in a Julia set of 
; the East Valley area of the overlapping minibrots on the 
; infinitely divided main spike of the Z^(2.003) Mandeloid.  Yes, 
; this is where it all begins.
; 
; As the value of real(C) is decreased, the rectangle shrinks and 
; eventually fills in with what I call sandy debris.  Today's 
; image captures the curious rectangle on the verge of vanishing 
; completely, or if we look at it from the other direction, a 
; single moment after birth.
; 
; Choosing the birth aspect, I named the image "Emerging 
; Rectangle", though because of its almost total mathematical 
; interest, I could give it no name.  The real(p3) parameter is 
; extremely critical -- change it even slightly at your own risk.
; 
; The calculation time of under 3 minutes is within reason, as 
; also is the trip to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; to view the finished image without the inconvenience of 
; calculating it.
; 
; A mixture of sun and clouds with a temperature of 50F 10C made 
; Saturday an off-and-on day here at Fractal Central.  As far as I 
; could tell, the fractal cats slept through most of it.
; 
; The next FOTD is due to be posted as always in 24 hours.  Until 
; then, take care, and does anyone really believe that the 'green' 
; movement can actually make a difference in the earth's climate?
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Emerging_Rectangle { ; time=0:02:52.59-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=SliceJulibrot4 center-mag=-0.000000275\
  4171323/+0.0003917573011645/2.587047e+012 passes=1
  params=90/90/90/90/-1.742904629841241/0/0.00018/0.\
  076/2.003/0 float=y maxiter=15000 inside=bof61
  logmap=258 periodicity=10 mathtolerance=0.05/1
  colors=0004Kw5Ku7Ks8Kq9KoALmBMkCNiDOgEMeFKcGI`HGXH\
  EUICRJANK8KL6HM4DN2AN07O5AP9CQDFRHHSLJSQMTUOUYQVaT\
  WeVziXzlMzoBzr0zl6zfCz`IvVOrPUmOVhMVcKWZKWUKWPKXKK\
  XKKUKKUKKUKKUKKUKKUKKUKKUKKUKJUKIUPI_MH`JG`FG`CF`9\
  E`6E`UBWq9RmDTjHUgLVdPXaSYZ0Zzzzzzzzzzzzzzzzzzzzza\
  zzbzzbzzczzczzdzzdzzezzfzzfzzgzzgzzhzzhzzizzizfjze\
  jzekzekzelzelzemzenzen7zo7zo6zp6zp6zq5zq5zr4zr4zs3\
  zs3zt1zu3zt4zs6zszerzeqzfqzfpzfozfozfnzgmJzmLzlMzk\
  OzkPzjQziSziTzhVzgWzgYzfZze`zeazdczcdzczjbzjazjazj\
  `zkZzj_zj_zj_zj_zj`zj`zj`zj`ziaziaziaziazibzibzibz\
  ibzhbzhczhczhczhczhdzhdzhdzgdzgezgebzeazeazf`zf`zf\
  `zf_zf_zgZzgZzgYzgYzhYzhXzhXzhWzizeizeizeizejzejzd\
  jzdjzdjzdkzdkzdkzdkzdlzclzclzclzcmzcmzcmzcmzdnzcmz\
  blzakz`jz_izZhzYgzXfzVfzWezWelzelzekzekzejzejzdizd\
  izdhzdPzTSzQRzRRzSQzSQzTPzTPzUOzUOzVOzVNzWNzWMzXMz\
  XLzYLzZLzZKz_Kz_Jz`Jz`Iza }

frm:SliceJulibrot4   {; 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=z^(p5)+c
  |z|<=9 }

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