[Fractint] FOTD 13-08-11 (Half a Spider [7])

13 Aug 2011

      FOTD -- August 13, 2011 (Rating 7)

Fractal visionaries and enthusiasts:

The theme of August is fractals from deep in the Mandelbrot set. 
Today's image is not from the Mandelbrot set however.  It is 
from the fractal that results when Z^(2.25)+C is iterated 1/2 
level up the complex logarithmic hyperladder, (actually more of 
a hyperspiral).  I had to depart from the theme of the month for 
one day to get caught up.  The very deep images are quite slow, 
and I have been falling behind.

The parent fractal appears as a distorted M-set rotated so that 
its distorted main period-2 bud lies on the north side of the 
main bay.  There is a small valley on the east side of this bud, 
with today's image lying in that valley.

I named the image "Half a Spider".  Spiders have eight legs, but 
there are only four spidery legs radiating from the central 
minibrot in the image.  Since four is one-half of eight, the 
name is quite appropriate.  (The circular disk closer in around 
the minibrot holds nine legs however.)

The rating of a 7 places the image just about at the center of 
FOTD ratings.  The calculation time of under 1-1/2 minutes 
assures that no precious time will have been wasted if the eager 
fractalist is disappointed with the image.

For even more assurance, the finished image is posted at:

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

The image is available in high definition at:

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

The classic FOTD site may be accessed at:

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

Threatening clouds moved in here at Fractal Central on Saturday 
morning, and a heavy thunder-shower arrived at 3pm, putting a 
finish to any outdoor activities.  The fractal cats' outdoor 
activities are limited to gazing out the windows anyway, so they 
had no problem with their outdoor activities.  If the day had 
been dry, the temperature of 79F 26C would have been pleasant.

The humans, with no outdoor activities planned, had a typical 
day indoors.  The next FOTD should be posted in 24 hours, which 
is the typical interval.  Until then, take care, and be a 
rational skeptic who doubts that physical aliens are visiting 
earth in flying saucers.  Such visits are impossible.  Due to 
the cosmic speed limit of light, (186,000mps), there is no way 
for physical aliens to get here.  If you must believe in some-
thing irrational, believe in ghosts.  They are very disturbing 
to skeptical rationalists, but at least they are not impossible.

Jim Muth
jimmuth@earthlink.net

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

Half_a_Spider      { ; time=0:01:25.03-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip passes=1
  center-mag=-0.1522280397550513/+0.9940388789985681\
  /7.345366e+010/1/32.5/0 params=2.25/0/0.5/0 float=y
  maxiter=1800 inside=0 logmap=141
  periodicity=6 mathtolerance=0.05/1
  colors=0000Xy0Wt0Uo0Sj0Qe0Na0KX0HS0EN0BJ08E059024f\
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  zzhzzhzzhzzhzzhzzbzzXzzRzzLzzFzz9zz8zz7zz7zz6zz5zz\
  5zz4zz3zz3zz5zz2zz1zz1zz0 }

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