; Date: Sat, 14 Jul 2012 14:35:07 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-07-12 (Crazy Cubic [7]) ; Id: <1.5.4.16.20120714143812.2bbfaede@earthlink.net> ; --------- ; ; FOTD -- July 14, 2012 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image continues the theme of infinitely divided stems ; and valleys. At least, it was supposed to continue it. When ; today's image was finished, everything was there but the ; expected infinitely divided stuff. ; ; The scene lies in the valley cleaving the north bud of the ; Z^(3.00001)+C Mandeloid, a fractal that should be ; indistinguishable from the pure cubic Mandelbrot set. But ; today's parent was generated by the MandelbrotBC3 formula at ; a level 9.43 turns up the hyper-ladder with the recip function ; applied. As a result, it is rotated 90 degrees, with the large ; north bud centered on the negative X-axis, where all the ; infinite division usually appears. The big question is: where ; has the infinite division gone. ; ; Infinitely divided or not, today's image rates a spot in the ; collection of FOTD images. It is still filled with plenty ; discontinuities, and the colors merely add to the excitement. ; ; I named the image "Crazy Cubic" because of the missing ; discontinuities. I rated it at a 7, which is FOTD average. ; ; The calculation time of 1-1/2 minutes is fast enough to prevent ; impatience, yet slow enough to allow a bit of anticipation to ; build. ; ; Seek and find happiness by viewing the finished image at: ; ; ; ; Add to your happiness by viewing it in high-definition at: ; ; ; ; Achieve perfect happiness by viewing thousands of images at: ; ; ; ; Clouds filled the sky here at Fractal Central today, with rain ; showers in the forecast. The temperature of 84F 29C was ; pleasant enough, but the threatening conditions made outside ; plans uncertain. The fractal cats, Nicholas and Cassie, never ; make outside plans, so they spent the day planning to get more ; food than usual. The humans made it through another day with ; nothing much to report, which was not at all boring. Due to a ; bit of R&R FL has planned, the next FOTD will be delayed until ; July 18. Until sometime around then, take care, and no one is ; perfect. Perfect beings have no need to appear as humans. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Crazy_Cubic { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip float=y center-mag=-1.100977593404242/+0.00000076253102707\ /2.221357e+009/1/-65/0 params=3.00001/0/9.43/0 maxiter=1500 inside=0 logmap=182 periodicity=6 colors=000LXJKVIJTGIRFGPEFNDELCCJBBHAAF99D77B66955\ 74353232111o`0YO0HC0XSPTPMQMKNJHJGFGECDBA987655322\ QoeOlcNjaMh_LfZKdXJbVI_THYSGWQFUOESMDQLBNJALH9JF8H\ E7FC6DA5A8487365243121NBfK9aI8YG7UzzzB5L94H63C4282\ 14ZoaViYSdUO_QLVMHQJEKFAFB7A7353jrFelD`gCWaASX9NR7\ IM6EG49B3451zzSrrOjjLbbHVVENNARQUXThbYwYToTPhOL`JH\ UECM98F447QXnOVkNUiMSgLRdKPbIO`HMYGLWFJUEIRDGPBFNA\ DK9CI8AG79D57B4693462341129K`8IZ8HX7GV7FT6ER6DP5CN\ 5BL4AJ49H38F37D26B2591471350230119Td8Rb8Q`7PZ7NX7M\ W6LU6KS5IQ5HO5GN4FL4DJ3CH3BG3AE28C27A1681571350230\ 118A_79Y79X78V68U68S67R57P56O56N46L45K45I34H34F34E\ 23C23B22A128127115014002001EDBCCABB9AA899788677566\ 5554443332221110vm7ph6kc5e_5`V4WR3QM3LI2GD1A91540K\ zRIzPHzNFzLEzJCzHBzFAzD8zB3zOczPczPczQczRmzRmzSmzT\ mzTzzUzzUzzVzzWzzWzzXzzYzzYzzZzzZzz0zzXzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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|