;     Date: Sun, 17 Sep 2006 22:52:19 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 18-09-06 (The Depths of Despair [7])
;       Id: <1.5.4.16.20060917225323.29d75b6e@pop.mindspring.com>
; ---------
; 
; FOTD -- September 18, 2006 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; I promised that September would be a month without a quadratic 
; Mandelbrot midget.  And my promise remains unbroken.  Yes, I 
; realize that a hole of sorts must lie at the center of today's 
; image, but it is totally invisible, lying far beyond the range 
; of conventional math, and even if we could reach it, the midget 
; would look nothing like a miniature Mandelbrot set.
; 
; The scene is located in a twisting and spiraling, cut-off fila-
; ment of the Z^(1.15)+C Mandeloid as it appears 115 levels up the 
; logarithmic ladder.  Midgets are quite difficult to find in 
; Mandeloids of such a low order, and were it not for the 'fmod' 
; inside fill, I would likely have never found the one that lies 
; invisibly at the center of today's image.
; 
; I named the image "The Depths of Despair".  After all, I know of 
; no law that says fractals must always be cheerful.  The image is 
; really not all that gloomy however.  True, it holds a lot of 
; blue, but the brilliant white highlights add a kind of sparkling 
; vivacity that chases away the blues and brings a ray of hope.
; 
; The rating of 7 reflects how I feel about the image.  The extra 
; effort I put into the coloring raises the otherwise average 
; scene to an above-average one.  The render time of 4-3/4 minutes 
; may be eliminated by going to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; and viewing the image there.
; 
; A damp and foggy morning gave way to a brilliantly sunny after-
; noon here at New Fractal Central on Sunday.  The temperature 
; reached 77F 25C, but the fractal cats were more interested in 
; finding mischief than watching the weather.  Cassie managed to 
; overturn a waste basket and spread the contents across the 
; floor.  And I'm not so sure Nicholas was as innocent as he 
; pretended.
; 
; My day was pleasantly quiet.  Hopefully, more of the same will 
; follow.  The next FOTD is near certain to follow in 24 hours.  
; Until then, take care, and be at one with the object of your 
; choice.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

TheDepthsOfDespair { ; time=0:04:45.83--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-0.78107692488533510/-2.839509333090241\
  00/4.341345e+011/1/7.49828937455790534/0.001459075\
  1429640683 params=1.15/0/115/0 float=y maxiter=1200
  inside=0 periodicity=10 mathtolerance=0.05/1
  colors=00083i82e92`91X91SA0OzzJuatnWngRh`LbUGXNARG\
  5LCozBdpBVfAKYAAO_fFYcFXaFVZFUXFSVFRSFPQFONFNLFLJF\
  KGFIEFHBFF9FE7FC4FB2Fjh3he4fc5d`5bZ6`X7ZU7XS8VQ9TN\
  9RLAPIANGBLECJBCH9DF7ED4EB2F5Iw6Ht6Gr6Fp6En7Dl7Dj7\
  Ch7Bf8Ad89b89`88Z87X96V95T94R94PA3NA2LA1JaNDdRGfUI\
  hYLk`NmcPogSqjUtmWvqZxt`zwbtwcowdiwddwe_wfUwfPwgKw\
  hEwh9wi4wi5qeA1F6kb6e_7_X7UU8OR9IO9CLA6IOE2ND3MC4L\
  B5LB5KA6J97I87I88H79G69F5AF5BE4BD3CC2DC2DB1EA0F3ot\
  4io5dk6_g6Vc7Q_8KV8FR9ANA5JUDBQACN8DK6DG4ED2FBDjAB\
  fAMhRQvA7YA6NA5RA3OA2LA1IE9cD8_D7WC6SC5PC4NB3MB2MA\
  1KA0Hzzzvwhildcg_YVWSNSMFNG7JOB4NA5M96L87K78J78I69\
  H5AG4BF3CE3CD2DC1EB0FmzUPzQmzMFFIupYqkWmgVicTf_SbW\
  QZSPWONSKMOGKLzJH8HD4GolQieOcZMYSLSLJMzIG7GcFuaEr`\
  DpzznzzlWBjVzhUAfzzdR8bP7`O7ZzzXL5VK5TzzRH3PF2NE2L\
  C1JB0HoKxfGnZCeQ8XI4OvwWooTihRc`PYUNSMLMFJG7HeuobJ\
  iYGdUD`QAWM8SI5NE2J74s83n }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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