[Fractint] FOTD 08-09-09 (Doubled Troubles [6])

7 Sep 2009

      FOTD -- September 08, 2009 (Rating 6)

Fractal visionaries and enthusiasts:

O.T. philosophical stuff on the philofractal version.

Today's image is more a mathematical curiosity than a work of 
fractal art.  It is a scene on the negative stem of the fractal 
that results when the Mandelbrot set starts to take on Z^13 
characteristics.  Most of the minibrots in the image have 12 
lobes like proper Z^13 minibrots should.  The oval-shaped mini-
brot in the center of the image however has 25 lobes, which is 
definitely not what should appear in a Mandeloid of order-13.

I suspect this minibrot is a blending of two normal minibrots, 
though I can't quite figure out where the 25 lobes come from.  
12 lobes plus 12 lobes equals 24, not 25.

Regardless, the image with its interconnected network of spidery 
filaments has enough interest to rate a 6.  The name "Doubled 
Troubles" refers to the central minibrot with the wrong number 
of lobes.

Unlike yesterday's slow-poke image, today's calculates in a mere 
16 seconds, which doesn't leave time to go to the kitchen and 
pour a drink before it finishes.  The finished product is avail-
able for instant viewing satisfaction on the FOTD web site at:

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

The spell of fine weather here at Fractal Central came to an 
end on Monday as heavy clouds moved in.  No rain fell, but the 
fractal cats did not approve of the drabness.  The temperature 
of 75F 24C did little to relieve their let-down.  My day was 
average.  The next FOTD will appear in 24 hours.  Until next 
time, take care, and who can be sure that truth even exists.

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

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

Doubled_Troubles   { ; time=0:00:16.33-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=NewDivideBrot function=recip float=y
  center-mag=-11.2582359658/0/35243/1/-90/0
  params=13/6.5 maxiter=275 inside=0 periodicity=10
  colors=000XxIcyCjy6py0qv4rs8rpCsmGtkKthOueSvbWv__w\
  YcxVgxSkyPoyNr5wxVNXZOUbOScUNcZJdcFdhBgMFh0Je1Lb1L\
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  zn`aoPHmxzhwzzvzzurzthzsczrZvrUrqKmq8hqBcqEZpHUpKz\
  pNzpQzmPzkOziOzfNzdMzbMzLdz3wz8uzCszGqzLozPmzTkzXi\
  zUjzSkzQlzOmzLnzJozHpzFqzKkzOfzSazXXz`SzdNzcO2zz3z\
  z4zz5zz6zz6zz9zzCzzEzzHzzJzzLzzNzzOzzQzzSzzTzzUzzV\
  zzWzzXzzYzzZzzZzzYzzZzzZzzZzzZzzZzzZzzZzzZzzZzzZzz\
  ZzzezzSzzmzz3zz5zz6zz7zz9zzAzzBzzDzznzzrzkqzlpzloz\
  mozmdzeVzZLzSBzLJzPQzSYzWdzZ_zYVzYRzYMzYIzYDzY9zY4\
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  ztEztFztGztHztIztKztMztOztQztSztUztWztYzt_ztazjbza\
  dzTezJgzAhz1gz4gz6gz8gzAgzDgzFgzHgzJgzMgzOgzQgzSgz\
  VgzXgzZgz`Xz_Nz_Dz_KzURzO }

frm:NewDivideBrot   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z^2*fn1(z^(a)+b)+c
|z| < 1000000 }

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