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April 6, 2011: A Paradox of Time April 5 April 7 2011 FOTD Home
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paradox

Fractal visionaries and enthusiasts:

With today's image we start a new rating scale.  The new scale will run from one to ten just as the old scale did, but in the new scale a rating of one will indicate an image just barely worth FOTD status, whereas in the old scale, anything under a 4 was discarded as too poor to be an FOTD.

Today's image shows a cubic minibrot with quadratic tendencies.  It is located in the area of the large minibrot on the main stem of the parent fractal, which is a Mandelbrot set caught morphing into a cubic Mandeloid.

The name "A paradox of Time" has nothing to do with relativity or time travel.  In fact, it has nothing to do with the image at all.  It is simply what came out when I sat at the keyboard to write a name.

Actually, I rather enjoy the somber dark blues areas and spider-like networks surrounding the central minibrot.  It all creates an atmosphere of pleasant sadness.

The calculation time of 45 seconds is almost beyond belief for an image of such magnitude created by the FinDivBrot-2 formula.  It means that the first pass of the image will fill the screen before it can shift to Super-VGA mode.

As equally effortless way to see the image is to surf down to the active FOTD web site at:

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

where the finished image is posted.

The original FOTD web site may be accessed at:

       http://www.Nahee.com/FOTD/

but it is far from up to date.

My own web site is close, but has not yet arrived.  An unexpectedly busy day on Tuesday prevented us from applying the intended final corrections.

Tuesday here at Fractal Central began with rain and ended with sun.  However the temperature fell short of what it should be at this time of year, reaching a high of only 43F 11C.  The fractal cats' moods improved with the increasing sun.  By mid afternoon they were as happy as indoor cats could be.

The day of the humans was too busy to be as pleasant, though the work went well and was finished with an hour or so to spare.  If all goes equally as well, and why should it not, the next FOTD will be posted in 24 hours.  Until then, take care, and a thoughtful philosopher once said that it is a terrible waste for unconscious matter to persist for billions of years, while we conscious humans exist only a few score years, and die just when we are beginning to figure out what the world is all about.  The philosopher should have distracted his mind from this harshness of reality by purchasing the latest wireless internet devices or by taking drugs.

Jim Muth
jamth@mindspring.com


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

A_Paradox_of_Time  { ; time=0:00:45.54-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip float=y
  center-mag=-1.758490804171659/+0.00016810265582086\
  /1.5e+011/1/85.5/0 params=3/25/0/0 periodicity=6
  maxiter=750 inside=0 logmap=98 mathtolerance=0.05/1
  colors=00000A10C20E20G31I42K53M64O75Q86S97UA8XD8cF\
  9hI9kLAoNAsQBwSBzVFvYJr_NnbQjdUfgYbjaZzcczyRzwNzuJ\
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  VczZczacz_czZczYczWKcVK_UJXTITRIPQHMPHIUGEMFBZF7ZE\
  3JE0ZF7cFDcFJmFPmFVzG`zGfzGlzGrzGxzHszInzIizJezJ`z\
  KWzKSzJQzIOzHMzGLzFJzEHzDFzCEzBCzAAz98z87z75z63z62\
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  zFvzAwz5xz1yz7vzDtzIrzOpzUnzZlzdmzjmzomzumzzmzpzzZ\
  zzIzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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