[Fractint] FOTD 17-08-12 (Primary PI [6])

17 Aug 2012

      FOTD -- August 17, 2012 (Rating 6)

Fractal visionaries and enthusiasts:

Today we check the 'Zexpi' fractal, or at least one of the 
infinity of Zexpi fractals.  The one we are checking looks 
nothing at all like the familiar one, which closely resembles 
the cubic Mandelbrot set.  Instead of sitting upright, today's 
parent Zexpi has been turned on its side, with two main buds on 
the western lobe of the main bay and only half of a bud on the 
eastern lobe.

I created this parent by calculating the formula Z^(PI)+C at a 
level 15.5 rungs up the logarithmic hyperladded with the 'ceil' 
function in effect.  I think this is the first time I have used 
this function, which is one of the rounding functions.  Today's 
scene is located on the west side of the main bay, in the debris 
near the X-axis.

The rating of a 6 is average and indicates that I see nothing in 
the image to get excited about.  The name "Primarily PI" shows 
that this is the first in a series of images based on the Zexpi 
fractal.  The calculation time of a mere 20 seconds is about 
what the image is worth.

The finished image is posted online at:

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

A high-definition rendering is at:

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

The back images are posted at:

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

Increasing clouds marred the early part of the day here at 
Fractal Central, and rain spoiled the latter part.  The fractal 
cats approved of the temperature of 86F 30C however.

The humans made it through the day with little of the excitement 
that makes interesting reading.  The next FOTD will be posted 
before too long.  Until whenever, take care, and why are the 
99-percent so offended by the wealth of the 1-percent?  Could it 
be envy?

Jim Muth
jimmuth@earthlink.net

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

Primarily_PI       { ; time=0:00:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ceil logmap=37
  center-mag=-0.9369868294821131/+0.0378608092734622\
  /1.568021e+011/1/132.5/0 params=3.14159265358979/0\
  /15.5/0 float=y maxiter=2400 inside=0 periodicity=6
  colors=0000FI0EL0DN0CP0BR0AT08V56aA4iG3tM8wTBwUEwV\
  HxWKxXMxYOxZQt_Tq`UnaXja_gbzdzz`bzYzzVczRzzOczLous\
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  HzTHzUHzUHzVHzVHzWHzWHzXHzXHzYHzYHzZHzZHz_Hz_Hz`Hz\
  `HzaHzaHzaHzdHzgHziIzhJzh }

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