;     Date: Tue, 27 Apr 2004 10:52:08 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 27-04-04 (Iterative Hyperbolae [8])
;       Id: <1.5.4.16.20040427105536.2997b8e4@pop.mindspring.com>
; ---------
; 
; FOTD -- April 27, 2004 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; With today's image we return to the image quality that makes 
; fractals worth the effort.  The rating of an 8 is the highest 
; in some time.  Hopefully, this is a sign of things to come.
; 
; To create the parent fractal, I mixed together Z^(-1.77) and 
; Z^(-7.71), added (1/C) and let the mixture iterate for 1200 
; cycles.  The resulting fractal is beyond description, an 
; oversized thing consisting of numerous bays, valleys, long 
; looping filaments, scattered bits and pieces, a curious almost-
; midget, as well as assorted other items of interest.
; 
; The east side of the main bay is decorated with a prominent 
; valley, which at first glance might be taken to be an East 
; Valley.  From the center of this valley extends a zig-zag 
; filament strung with dewdrop-like nodes.  Today's scene lies 
; rather deep in one of these nodes.  Surprisingly, the area has 
; almost none of the typical 'East Valley' features.
; 
; The standard equal-iteration-band rendering gives a good-enough 
; image, but the evaporated version of the scene is better.  It is 
; this evaporated version that I used as today's FOTD.  I made the 
; totally-inside material visible by using the bof61 inside fill.  
; Other fills might work equally well, but I have not yet tried 
; any of them.
; 
; When searching for a name, I noticed the hyperbolic elements and 
; named the image "Iterative Hyperbolae".  When figured into the 
; 6-minute render time, the rating of an 8 gives an overall value 
; of 135.  What the overall value might be when the image is 
; downloaded is up to the individual to decide.
; 
; The download is available at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; Rain fell all day here at Fractal Central on Monday, while the 
; temperature reached only 59F 15C.  The cats did not approve and 
; showed their disapproval by flipping into their sulking modes.  
; A treat of tuna in the evening helped a bit, but a dish of fish 
; cannot make up for a missed afternoon in the yard.  Today looks 
; somewhat better, so we'll see how it goes.
; 
; For me it's a day of work before fun.  Until next FOTD fractal, 
; take care, and be at ease.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

IterativeHyperbole { ; time=0:05:55.50--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.40024400180910400/-0.000531620471100\
  73/3.385291e+010/1/15/0.000876059279207246078
  params=1/-1.77/0.23/-7.71/0/1e+100 float=y
  maxiter=1200 inside=bof61 periodicity=10
  colors=0000V`0b_0jY0rW0mQ0iL7dGC_BIW5OS2qty`nfLjP`\
  `YqTdzLmzGdzCYz7Pz3Hz0Az03zD2zY2yq2uiFq`QmTciLpfDz\
  iKwkQqnYkqcfti`pfZmcYj`WgZVdWTbTS_QQYOP_WS`bTbiVcp\
  WdwYfzZLg0Wj0dk0nn0xp0zq0zjTudutgwtixrkyrmzqnzqqzp\
  rzptznpynmumjpmgkkdgkbbj_ZjYVzW`zVgrVnjVubVzWVzTSt\
  QPfPMTMKGLH3GCIB7Z52n00zceC3OI0OF0OB0M80LD3LHADMGB\
  QOAWV8_`5cg4ip3mw0rz0wz0zz0yu0ym0rf0uZ2rS2qK3mD3mC\
  7mBBnAFo8IpAMqFPsKTuPYwU`xZdycgzhkzmpzrtzrzzrzzrzz\
  muzhrzcpzZmzUjzPgzKfyFcxH`xIZwLWuOTuPQtSOrTMrTItTF\
  tTAtT5uT2uT0uP5qMDmKKiHSdD_`OYzPVzPTuPSpPQkPPfPO`P\
  MYTOVWOSZPP`PMcPKtYbzdtzfpzgkzigzjdzk`zmYzmVgZ`PKg\
  75n00tSTjzzbzxWwqPrkKndDjZ7fT2gV0gW0iW0iY0jZ0jZ0k_\
  0k_0fT7bMDZGKTAQP3YL0cH0jO0dV0``2Yf4Tm8OtBKzFGzHCr\
  Y7fk2Vz0Tt5SmFQfMP_WPVcMPVKLMIGDGC5F80PAD_BSjCftDu\
  pFqmGmjHigHdcI``KYZLTWLQPOWKQ_DTd8Wi2Zn0`r0cwitCfq\
  GdpKcnObmS80m50j35g0Dd0Lc }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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