;     Date: Thu, 29 Apr 2004 10:42:08 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 29-04-04 (Beyond the Limit [5])
;       Id: <1.5.4.16.20040429104537.302f8dec@pop.mindspring.com>
; ---------
; 
; FOTD -- April 29, 2004 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image has been named "Beyond the Limit".  But don't 
; succumb to skeptic's panic.  We are not headed into the 
; supernatural.  Since fractals have no limit of their own, the 
; limit mentioned in the name is the resolution limit of the math 
; routine used by the program to generate the image.  The diagonal 
; smearing visible in the image is the first sign of resolution 
; breakdown.
; 
; I needed to include the mathtolerance entry in the parameter 
; file to be sure that the image is drawn at the correct magnitude 
; on all machines at all screen resolutions.  When this is done, 
; we find ourselves with a rather pleasant star-like image, which, 
; if it were not afflicted with resolution breakdown, would rate a 
; 7.  As it is, I can rate the image no higher than a 5.  The 
; render time of 6 minutes makes the overall value an 82.
; 
; Don't even think of checking the midget at the center of the 
; image.  Nothing but colored splotches are down there.  The 
; midget needs a few more magnitudes of resolution before it will 
; reveal itself.
; 
; The best way of viewing the image is to download it from:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; and then step back a bit from the screen to where the impending 
; breakdown is not visible.
; 
; A sunny but chilly day here at Fractal Central on Wednesday was 
; marginally satisfactory for the cat duo, who would have 
; preferred a temperature of 70F 21C rather than the 59F 15C that 
; actually prevailed.  Today is starting equally sunny and notably 
; warmer.  The two ex-tomcats should be happy.
; 
; For me it's just another routine day of too much work and too 
; little play.  But the work *will* be finished, and 24 hours from 
; now the next FOTD fractal *will* appear.  Until then, take care, 
; and we don't even know what we don't know.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Beyond_the_Limit { ; time=0:06:07.62--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+3.429528921055553/+0.2562473412832469/\
  1.909924e+012 params=1/-1.5/0.01/-150/0/0 float=y
  maxiter=1200 inside=0 logmap=135 periodicity=10
  mathtolerance=/1 colors=000N5CN8IMANMCVLFYLHdKJiKM\
  qJOvJQzDSw7UvFZkMc`ThQ_zFzq5ki4ob4tW3xP3sRAnTHiVNe\
  XU`Z_W`fSal`g`XUYTGVQ3ST9YWFbZKgaQldVqedczmRfzEzlJ\
  hbNiTRiJVgKReLOcMLaMH_NEYOBXO8YPBYQEZRHZRK_SN_TQ`T\
  T`UW`VZaVaaWdbXgbXjcYmcZpcZsWaqPdoIgmBil6OC9QEBSGE\
  TIGVKIXLLYNN_PQaRSbTUdUXfWZgYai_ckaelbdjecigbgiafk\
  `en_cpZbrZatXZrVWqTTpRQnPNmNKlLHkJEiHBhF8gD5fLLiS`\
  kRbiRdhRefQgeQhcQjbQkaqhcskZunUwqPytKzwFozKdzPVzUU\
  zWUzXUzYUzZUz`UzaUzbUzcUzeUzfUzgUzhUzjUzkUzlUzm`zr\
  fzwmzhtzUzzFwzJtzNqzRozVlzZizbfzfdzjaznZzrWzvUzyWz\
  vXztZzr_zpazmbzkcziezgfzehzbiz`kzZlzXmzVYz`Ize2zj6\
  zf9zcDz`GzYKzVNzSRzPUzLYzI`zFdzCgz9kz6nz3qz0sz9uzH\
  vzPxzXyzdyzVyzLyzCuzBqzBmzAjzAfz9bz9Zz8Wz8Sz7Oz7Lz\
  7Oz9RzBUzDWzFZzHazJczL`zOZzQWzSUzURzWPzYMz`KzbHzdF\
  zfCzhAzj8zlAzfBzaCzXEzSFzNGzIHzDSzMazUZzTWzSTzSPzW\
  MzZJzaGzdDzgAzj7zm4zp7zk9zgszzhzeZzLPz1Oz7 }

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