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: <http://www.crosscanpuzzles.com/Archives.html> Add to your happiness by viewing it in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Achieve perfect happiness by viewing thousands of images at: <http://www.Nahee.com/FOTD/> 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|<a } END PARAMETER FILE=========================================