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February 18, 2011: The Sub-Continental Feb. 17 Feb. 19 2011 FOTD Home
 Rating 8

subcontinental

Fractal visionaries and enthusiasts:

We (meaning I) finally created an image that earns a respectable rating -- that of an 8.  The scene lies in the East Valley of the large minibrot on the main stem of the parent fractal, which is the near-Mandelbrot set that results when the formula Z^(2.00001)+C is iterated.

On the surface, this parent fractal cannot be distinguished from a true Mandelbrot set.  In fact just about the only difference lies along the negative spike, which instead of being a single line, has become infinitely divided.  Today's curious scene lies at the edge of this divided spike.

Though the generating formula has a fractional exponent of Z, the value is so close to the integer 2 that the discontinuities in the image are rather hard to pick out.  (Check the spirals.)

The rating of a pretty good 8 may indicate that I am finally out of the recent fractal doldrums.  Time will tell.

The name "The Sub-Continental" came to mind when something in the image brought to mind the architecture of the Indian Subcontinent.

The calculation time of 1-3/4 minutes is gratifyingly brief.  Equally brief is the time required to visit the current FOTD web site at:

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


where today's image is posted in finished form.

The original FOTD web site may be accessed at:

      http://www.Nahee.com/FOTD/

The sun was mostly filtered by a layer of high clouds here at Fractal Central on Thursday, but the temperature of 61F 16C made up for the lack of solar warmth and kept the fractal cats on their window shelf most of the afternoon, from where they kept close watch on the local feral cat activity.

My day was slower than average; FL's day was average.  The next FOTD will be posted in 24 hours.  Until then, take care, and where do the feral human beings hang out?

Jim Muth
jamth@mindspring.com


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

TheSub-Continental { ; time=0:01:45.35-SF5 on P4-2000
  reset=2004 type=formula formulafile=slices.frm
  formulaname=MandelbrotN center-mag=-1.749424462413\
  316/+0.00004800200002821/2.245526e+010/1/150/0
  params=2.00001/0/0/0/0/0 float=y maxiter=2800
  inside=0 logmap=300 periodicity=6
  colors=000WTQWVRWWSWYTWZUW`VWaWWcXVeYOgVHiSBkPDmSF\
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  YeVZgW_jX`lYanZap_as`auaawbayaaz`az_azZbz_cz`dzadz\
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  zzWzzVzzUzzZzzczzhzzmzzrzzwzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }

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