; Date: Wed, 06 Nov 2013 18:04:49 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 06-11-13 (The Shadow Arises [A-8.5,M-7]) ; Id: <1.5.4.16.20131106180629.385f7f82@earthlink.net> ; --------- ; ; FOTD -- November 06, 2013 (Rating A-8.5,M-7) ; ; Fractal visionaries and enthusiasts: ; ; Today's stellar but slightly ominous image lies in the East ; Valley of the parent fractal that comes about when the ; expression Z^(2.01)+C is iterated 1.5 levels up the complex ; logarithmic hyperladder with no function applied. At this ; not-very-impressive height the parent resembles a Mandelbrot set ; rotated almost 180 degrees so that East Valley falls close to ; the negative X-axis, and its beat-up main bud and main spike lie ; near the positive X-axis. ; ; In today's parent, East Valley has been broadened into a wedge, ; with fractal debris scattered along the sharp northern edge of ; this wedge. Today's image lies in this debris. I'll check the ; beat-up main bud and spike in a future FOTD. ; ; Strangely, there is very little in the image to reveal that it ; lies in an East Valley. Instead, we see finely-divided arcs and ; crescents surrounding the central minibrot. I rated the art ; worth at a superior 8.5, mostly because of my coloring, most of ; which was created randomly by the Fractint program. I rated the ; math interest at a 7, which might be a bit liberal for a math ; trick ten years old. ; ; The name "The Shadow Arises" does not imply the return of that ; old radio character who could make himself invisible. It refers ; to the unusually shadowy appearance of the dark green elements ; surrounding the minibrot. ; ; The calculation time of 1-1/5 minutes is reasonably fast, but a ; trip to one of the web sites will make the brief wait even ; briefer. ; ; The finished image is available at: ; ; ; ; with clever variations at: ; ; ; ; ; ; ; ; A little sun, lots of clouds and a high temperature of 61F 16C ; brought rather pleasant conditions to Fractal Central today. ; The fractal cats had a quiet day except for the time Jasmine ; sneaked up on Nico and took a swipe at his tail. In return, he ; took a harmless swipe at her to warn her away. The fractal ; humans had a near average day. ; ; The next FOTD will be posted within a certain time. To find out ; how certain, check back at regular intervals. Until whenever, ; take care, and if it can be scientifically demonstrated to be a ; fact, it might even be true. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_Shadow_Arises { ; time=0:01:12.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.261378641122/-0.001444041117/\ 1.593933e+007/1/161/0 params=2.01/0/1.5/0 float=y maxiter=1500 inside=0 logmap=165 periodicity=6 colors=00045H5Gg65_70f85Y95RA5TB5VC5XD5ZE5`F5bG5dH\ 5fH3hL7eP7cT7`X7Z`6Vc6Sg6Ok6Lo5Hs5EA5zA5wA6t98qBAn\ DClFEjHGhJIfKKdHIkHMpQTpSVrUYrVZzXZzZZz`ZzbZzd_ze`\ zgawibrkcmmdhnecogZpiUqkPrmKsoFtqAus5vu2KG2LE1IA1F\ 61C30900700801931642752573B83BA4CB4CE5DH5DK6EN6FQ7\ FS7GT8GV8HX9HZ9I`AIbAJdBJeBMbHO_NQXTSUZURd2AGSPaRO\ _PMzOLzMKULISJHQIGO03923303610000E08C0BG1584463241\ 12_WUWSRSPOPMLLJIIGFECCA99766333UGyMCiF8V74FKnzIkz\ HhzGezFbzE_zCXzBUvARr9Om8Lh7Ic5FZ4CU39P26K13FD8gC7\ dB7bA6`A6Y95W85U85R74P64N63K53I42G42D32B2192161040\ 02JFXHDUGCREBPDAMB9KA8H86F75C54A437225112YQnWOkUNh\ SLeQKbOI_MHYKFVIESHDPFBMDAJB8H97E75B548325112prJmo\ IjlHhjGegFcdE`bDZ_CWYBUVARS9PQ9MN8KK7HI6FF5CD4AA37\ 72551220zwYztWzqUznTzkRshPmeOzmMzmLzmJzmHzmGzhEzcC\ zcBzc9zc8zZ6zU4zP3zK1zFIzAGzAFz9Ez9Dz8Cz7Bz6Az69z5\ 7z46z35z34z23z12zqLzqKzqK } 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|