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.

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\
  lrrmzqrzpvzozznzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzTzz\
  QzpOzpMzqJzrHzrFzsCztAzt8zqCznFzkIzhLzeOzbRz_UzYXz\
  WWzVVzUUzTUzRTzQSzPSzORzMQzLQzKPzJOzHOzGNzFMzEMzCL\
  zBKzAKz9Jz7Iz6Iz5Hz4Gz3Gz5Hz7Hz9HzBHzCHzEHzGHzIHzJ\
  HzLHzNHzPHzRHzSHzUHzWHzYHzZHzUGzQGzLGzHGzCGz8Gz4Gz\
  AHzGIzLJzRKzWKzaLzgMzlNzrOzwOztPzqQznRzkRPwzOwzOwz\
  NvzNvzMvzMvzLvzLvzKvzJvzJuzIuzIuzHuzHuzGuzGuzFuzFt\
  zEtzEtzDtzCtzCtzBtzBtzAszAsz9sz9sz8sz8sz7sz7sz8sz9\
  szAszAszBszCszDszDszEszFszGszGszHszIzzJzzJzzIrzIzz\
  IzzIzzIzzIzzIzzIzzIzzIzzIzzIzzIzzIzAIzBIzBIzCIzCIz\
  DIzDIzEIzEIzFIzFIzGIzGIzHIzHIzIIzIIzJIzJIzKIzKIzLI\
  zLHzLHzMHzMHzNHzNHzOHzOHzPHzPHzQHzQHzRHzRHzSHzSHzT\
  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=========================================