[Fractint] FOTD 16-08-11 (A Midget in a Spot [8])

17 Aug 2011

      FOTD -- August 16, 2011 (Rating 8)

Fractal visionaries and enthusiasts:

Today's image again departs from the August theme of images very 
deep in the Mandelbrot set.  The departure was necessary to give 
me a chance to find another worthy image.  These deep images are 
very slow and sometimes I simply have no chance to find one.

But today's image is nothing to sneeze at.  It's a scene in the 
parent fractal that results when the expression, (it's really 
not a formula), Z^(2.2)+C is calculated 22 levels up the complex 
logarithmic hyperladder.  This parent fractal resembles a Mandel-
brot set rotated about 200 degrees CW, with two East Valleys on 
the west side of its main bay.  Today's image is located in one 
of the last islands in an archipelago of debris extending from 
the center of the southern valley.

The name "A Midget in a Spot" has little meaning beyond the 
sound of the words.  The rating of an 8 is what I thought the 
image is worth at the time I rated it.  The calculation time of 
33 seconds is thankfully brief, about the same time required to 
view the finished image on the web site.

The official FOTD web site, with the finished image is online at:

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

A high definition version of the image may be viewed at:

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

The venerable classic FOTD web site may be accessed at:

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

The day began with a light rain shower here at Fractal Central, 
but by midday the clouds parted, leading to a mostly sunny 
afternoon with a temperature of 82F 28C.  The fractal cats spent 
an unusually long time in the window, which means they approved 
of the more pleasant conditions.

The humans spent the day doing little out of the ordinary, 
though 'ordinary' implies enough work to keep us busy.  The next 
FOTD will be posted in 24 hours.  If all goes according to plan, 
it will be a great one.  Until then, take care, and if you can't 
believe what religion teaches, turn to science; if you don't 
like what science has found, turn back to religion.  If you wish 
to find the real truth, welcome to the group.

Jim Muth
jimmuth@earthlink.net

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

A_Midget_in_a_Spot { ; time=0:00:33.18-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip
  center-mag=-0.3441515092977831/-0.0530208699951345\
  /1.967296e+007/1/54/0 params=2.2/0/22/0 float=y
  maxiter=1800 inside=0 logmap=74 periodicity=6
  colors=000A0UA0TA0SA0RA0QA0PA0OA0NA0MA0LA0KA0JA0IA\
  0HA0GA0FA0EA0DA1CA2BA3AB34G96LF7QL8VR9_XBdbCihDlmE\
  VizQfxMcxH`wDYv8Vu4Su0Pt4MsBLrMJqLKpSKoUUhicaqmWzv\
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  mxmmqhmjdmc_mXWmQRmJNmCImgBm`CmVCmPDmIDmCEm8SmxOmq\
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  zXWzOQzFKzl1zXZzTWzPTzLQzHNzDKz9HzmIzmHzmHzmGzmGzm\
  FzmFzmEzmzzmizmUzmozmhzmbzmXzmQmzKmzRmzOmzLmzJmzGm\
  zmmzMmzJmzGmzWmzSmzOmzLmzHnz8YzBSz8PzANzBKzDFzmGza\
  dzTWzZNzdFzjMzfTzc_z`fzYmzVtzS3zTIzNXzIkzCzz7VzOqz\
  9hzA_zCRzDbzZWzSPzLYzZnz` }

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=========================================