;     Date: Tue, 30 Oct 2007 08:45:54 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 30-10-07 (Square-Root Picnic [No Rating])
;       Id: <1.5.4.16.20071030074710.2bdf8fb8@pop.mindspring.com>
; ---------
; 
; FOTD -- October 30, 2007 (No Rating)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image takes us once again to one of the infinity of 
; fractals created by the formula Z^sqrt(2)+C, this time to the 
; fractal that appears 1.4142 levels up the logarithmic ladder, a 
; fractal that resembles a limbless torso with a head attached 
; -- a perfect parent fractal for the day before Halloween.  The 
; scene is located in the chaos on the eastern side of the head.
; 
; The image shows a small minibrot and its surrounding pattern.  
; As must always be the case in fractals where the power of Z is 
; fractional, the features in the image are broken and scrambled.  
; But the broken features make a rough kind of symmetrical pattern 
; around the midget, which is barely striking enough to raise the 
; image to FOTD status.  I can give no logical reason for the name 
; "Square-Root Picnic".
; 
; Since I have done so many of these scrambled fractals with 
; exponents of Z between 1 and 2, and achieved only a modicum of 
; success, I could not give the image an honest rating, but it is 
; still worth a look.  The calculation time of 7 minutes is 
; slightly slow for such a less-than-splendid image.  To save time 
; and frustration, I recommend going to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; and viewing the finished image there.
; 
; After a foggy and frosty start, Monday turned quite pleasant 
; here at Fractal Central, with sunny skies, light winds, and a 
; high temperature of 55F 18C.  The fractal cats were more con-
; cerned with something in the hallway than with the weather.  
; They must still remember the mouse that popped out of the hole 
; in the floor by the radiator last year around this time.  When 
; no mouse appeared on Monday, I comforted the disappointed duo 
; with a treat of tuna and cheddar cheese.
; 
; The next FOTD will appear in 24 hours.  Until then, take care, 
; and don't get caught up in a non-local fractal field pattern.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Square-Root_Picnic { ; time=0:07:06.50-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 center-mag=-0.1110651380\
  7892870/+1.444879230159444/5.566726e+010/1/-52.5/\
  0.0361740551652163 params=1.4142/0/1.4142/0 float=y
  maxiter=3000 inside=0 logmap=848 periodicity=10
  colors=000cAqcApcApcAncAmcAkcFkhKjmPhrUgvZgzcfzhdz\
  mgzrdztczvaxt`vqZtpYsnXpkVnjTkgSjfRhdPfaOd`MaYL`XJ\
  ZVIXSHVRFSOERMCOJBMI9LH8IE6HC5E93C82B6183062030020\
  0100200300500600800900B00C00E00F00H00I00J00L10M10O\
  10P10R11S11T11V21X21Y22Z22`22a22c33e33g33i33k33m35\
  o35q55s55t56u56v56w56x28y36z56z65z85z95zB3zC3zE3zF\
  2zH2zH2zI1zJ1zL1zM0zO0zP0zR0yS0xT0wT0vV0uX0tY0tZ0t\
  `0ta0tc0td0tf0xd0tf0pg0mg0hh0fh1aj3Yj5Vk8Rm9OpCJqE\
  FtHCvI8xL3xO5zM6zM8zM9xMBwMCvMEtMFsMHqMIsMJvMJxMLz\
  MMzMOzMPzMRzMSzMTzMVyMXxMYwMZvRYuOYqMYmJYkIYiHYgEY\
  eCYc9Ya8Y_6YY3YW2YU0YS0XQ0YO0YM0ZK0ZgzZqz`zz`zz`zz\
  awzamzaczca0ca0c`0d`0d`0dZ0fZ0fY0zY0zg0zn0zn0zg0zV\
  0zT0zT0zS0vS0nR0gR0`R0TP0FPgFOgFOgFMgFMgFMgFLgc9zc\
  AzcEzcIzcMzcQzcUzcYzcazcezcizzmzzozzqzzszzuzzwzzyz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzwzzxzzzzzzzzzzzzzzz\
  zzzzzzxzzwzzwzzvzztzztzzs }

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