[Fractint] FOTD 29-08-05 (Aching Tooth [4])

29 Aug 2005

      FOTD -- August 29, 2005 (Rating 4)

Fractal visionaries and enthusiasts:

The fractal computer is still running, but for how long, no one 
knows.  I'll keep it as my fractal machine as long as it starts 
up.  With only 16mb memory, it needs to do nothing but boot DOS 
and run Fractint.

Today's image was created by the ParabolicMix3 formula, which is 
the formula I sometimes use to determine critical points of 
expressions with 3 and 4 different powers of Z.  In addition to 
creating today's image, the formula indicated a critical point 
at 0.6447424469, and what I call a semi-critical point at -1.  
The first critical point has a most unusual Mandelbrot set 
associated with it.  I will use this M-set as the source of the 
next FOTD.  The semi-critical point determines a nice symmetri-
cal mandel-type fractal pattern, but it finds no Mandeloid.

Today's image reminds me of no less than an aching tooth, which 
is what I named it.  It's not really enough of a fractal to be 
considered even of average FOTD worth, so I rated it at a humble 
4.  The image renders like lightning however, and is finished in 
39 seconds -- almost before it starts.

For non-renderers, the final GIF result is available on the FOTD 
web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

Early morning rain on Sunday here at Fractal Central cleared out 
by noon, leading to a pleasant partly cloudy afternoon with a 
high temperature of 86F 30C.  The fractal cats were satisfied, 
but would have preferred it to be a bit cooler.  Today is 
starting foggy.  If it doesn't rain, I expect another good day 
for the duo.  For me, the work is moderate.  The next FOTD will 
appear in 24 hours.  Until then, take care, and wait for the 
best.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Aching_Tooth       { ; time=0:00:39.87--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=ParabolicMix3 function=ident
  center-mag=0.349635/-1.52479/3.537497/1/-90/-9.090\
  2769208223262 params=0.5/1.5/0.5/-1.5/0.5/2/1/1/0/0
  float=y maxiter=300 inside=0
  logmap=yes periodicity=10
  colors=000PXOPSRQLZRN`RPbTVfV`jXfnZlr`rvbwzVoyNhxF\
  bw8ZvEWtJUsPSrURp_QodQneLgfHagDVh9Pi5Ii1CU28F24021\
  YMpWLmVKkr8Qw6Pu5Ms4Kq4Ho3Fm2Dk2Ai18h16j99kHBlOEmW\
  GncIojLprNqyPruMrrKroIrlFriDrfBrc9kf8dh8Yj8Sl8Pk9N\
  j9LiAJhAHgBFgBIeGKcKMaOO_SQYWYR_dLckFgr9ky3nw9puFr\
  tLtrRvqWwnSxlPxjMxhJxfGxdDxbAx`7xQGvGOt8Gs7Kq7No7R\
  m7Uk6Xi6`g6ce6gc5ja5m_5qY5tW5wU4wS4wQ4wO2w13xM3xL3\
  xJ2xH2xF2xE2xC1xA1x81x70x50x30x15xf4xc4x`4yY3yW3yT\
  3yQ2yO2yL2yI1yG1yD1yA0y80y50y2GybEyYCyUAzQ8zL7zH5z\
  D3z81z4lzSizQgzPezOczNazL_zKYzJVzIUzHRzFPzENzDLzCJ\
  zAHz9Ez8Cz7Az68z46z34z22z1YzGPzCHz88z4UzBzz8wz7tz7\
  qz6nz6kz6hz5ez5cz5`z4Yz4Vz4Sz3Pz3Mz2Kz2Hz2Ez1Bz18z\
  15z02z09z77z55z43z21z1sz`kzpgzkczg_zcXz_TzWPzSMzOI\
  zKEzGBzC7z83z4uztpzolzkgzfczbZzZVzUQzQMzLHzHDzD8z8\
  4z4GzuFzqEznDzkCzhBzdAza9zZ8zW8zT7zP6zM5zJ4zG3zC2z\
  91z6dzQ_zKVzEQz9PzDPzHPzK }

frm:ParabolicMix3 {; Jim Muth
z=imag(pixel)+flip(real(p5)),
c=fn1(real(pixel))+flip(imag(p5)),
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=real(p3), h=imag(p3), j=real(p4), k=imag(p4):
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <= 100 }

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