; Date: Sat, 18 Aug 2012 00:13:23 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-08-12 (Primary PI [6]) ; Id: <1.5.4.16.20120818001653.2c1758bc@earthlink.net> ; --------- ; ; 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: ; ; ; ; A high-definition rendering is at: ; ; ; ; The back images are posted at: ; ; ; ; 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|