[Fractint] FOTD 24-08-11 (Two-Headed Monster [6])

25 Aug 2011

      FOTD -- August 24, 2011 (Rating 6)

Fractal visionaries and enthusiasts:

Today's image lies in the parent Mandeloid that results when the 
expression Z^(2.25)+C is iterated 1.2 turns up the complex 
logarithmic hyperspiral with the 'recip' function applied.  This 
parent appears as a reasonably complete Mandelbrot set rotated 
180 degrees, with 2 East Valleys and 2 fractalized main spikes, 
each graced with 2 large minibrots.  The image is located in a 
knot on a minor filament extending from the southern large 
minibrot.

The rating of a 6 is held down because I seem to remember a 
recent FOTD image that closely resembles today's, at least in 
the coloring.  But even if this is true, fractals are still 
fractals, and today's image must be infinitely different from 
its earlier relative.

The name "Two-Headed Monster" refers to the minibrot at the 
center of the image, which, even though it is not fully 
resolved, closely resembles the shape of its parent.

The calculation time of 1-1/2 minutes is quite fast by fractal 
standards.  In fact, more time is likely to be spent setting up 
today's parameter file than in running it.

The image may be viewed without calculation however on the FOTD 
web site at:

      <http://www.crosscanpuzzles.com/Archives.html>

It is also available in high definition at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

And the original FOTD web site may be accessed at:

      <http://www.Nahee.com/FOTD/>

A mix of sun and clouds with a high temperature of 84F 29C and a 
nice breeze made things pretty comfortable here at Fractal 
Central today.  The fractal cats, who survived the big quake 
yesterday, spent the day in meditation.  The humans meditated 
about finding time to meditate.  The next FOTD will be posted in 
24 hours.  Until then, take care, and fractals might be all in 
the mind of a Boltzmann brain.

Jim Muth
jimmuth@earthlink.net

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

Two-Headed_Monster { ; time=0:01:25.02-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip inside=0
  center-mag=+1.5450423432411/-0.209605690560271/\
  6.688685e+012/1/35/0 params=2.25/0/1.2/0 float=y
  maxiter=1500 logmap=166 mathtolerance=0.05/1
  colors=00040Z30X30V30T30R30P20N20L20K20I20G10E10C1\
  0A1081461753984AA5BC6CE8DG9EJAFLBGNDHPEJRFKUGLWIMY\
  JN_KOaLPcOOeRNfSMgULhWKjYJk_JlaImcHneGpgFqiErkDsmD\
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  iHwmFzmDwjIqeMlcQeUUbJY_GaXEeUCdPAcK5bF0aA0`50_00Z\
  GzzzkzCzzzlzErzzgzGmzzbzI_hJYhKVhLShHQgDLg9Gf58Z11\
  Z70cD0hK0iR0iX5iZBi_DiaFicHidJifLigMiiOkjPmkQonRpr\
  SrtTtwUvzVwdQiSMWFcI3h48m8CrBGrEKzIPzLTzOXXR`_VdbY\
  ie`mgdqjgumjyomwljvjgthesebrc`paYo_WmXTlVRkTOiRMhO\
  JfMHeKEdICcJIcJNbKSbKXbLaaLfaMk`Mp`Nu`NzdLxgKwjJvm\
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  wKpwMpwOpwQpuSksUgqWcoYZm_VkaRicNgmIemEcmAbm6dmBem\
  FgmJhmNimRkrWlr_mrcorgprkqronrmlzljzkhzjfzidzhbzgz\
  zfzzezzdzzczzbzz_zzYzzWzzUzzSzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzDzzDzzDzzEzzEzzEzzFzzFz\
  zFzzDzzCzzAzz9zz8zz6zz5zz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-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=========================================