; Date: Wed, 28 Jan 2009 23:54:04 -0500 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 29-01-09 (Crouching Minibrot [No Rating]) ; ; Id: <1.5.4.16.20090128235611.2b4fad4a@pop.mindspring.com> ; --------- ; ; FOTD -- January 29, 2009 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Since today's image is more of an experiment than an effort at ; fractal art, I decided to give it no rating. The parent fractal ; is a grotesquely bloated Mandelbrot set with order-1000001 under- ; tones. Today's image lies in one of the elephant trunks in East ; Valley. ; ; I named the image "Crouching Minibrot" because part of it is ; occupied by a hidden minibrot. The black area at the right side ; of the image is the edge of a minibrot of order 1,000,001. This ; means it has exactly one-million similar bays around its peri- ; meter, which caused me to open my desktop calculator. ; ; Since only four bays appear in the image, this means that only ; 1/250,000 of the total circumference of the minibrot appears on ; the screen. On my screen the four bays extend over a distance ; of 30cm or one foot, which means that the total circumference of ; the minibrot must be 250,000 feet or 7,500,000cm. Dividing this ; distance by 3.14159 we determine that, at the same scale, the ; diameter of the minibrot whose edge appears at the right side of ; today's image must be near 2,400,000cm or 24km, which is near 15 ; miles. It's quite a minibrot. ; ; To see the entire circular minibrot, turn off the logmap and ; reduce the magnitude of the image to 1,000,000. ; ; Perhaps the most curious thing in the image lies in the peninsu- ; las that separate the bays, where the same pattern repeats, only ; very slowly changing from one peninsula to the next. I see much ; stuff for investigation here. ; ; Despite all the weirdness, the image calculates in only 1-3/4 ; minutes, about the time required to visit the FOTD web site at: ; ; ; ; and appreciate the finished experiment there. ; ; Snow, sleet and freezing rain made for a most unpleasant day ; here at Fractal Central on Wednesday. The temperature of 30F ; -1C only added to the unpleasantness. But strangely, the ; fractal cats seemed to enjoy the day, watching the neighborhood ; snow removal activities from their window shelf, with obvious ; fascination. ; ; My day would have been pleasant had it not been for the task of ; clearing the fractal sidewalks. Five inches of sleet is quite ; heavy to move around. If nothing worse happens, the next FOTD ; will be posted in 24 hours. Until then, take care, and I wonder ; what the world is really made of. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Crouching_Minibrot { ; time=0:01:43.64-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=t center-mag=+26.0517371691385/-0.177380788769248/\ 1.700493e+011/1/80.7/0 params=1000001/100 float=y maxiter=1500 inside=0 logmap=126 periodicity=10 mathtolerance=0.05/1 colors=000hgsghofikdkgclcbwVbrYbm_biabdcb`ecWgeRig\ NkjImiEqi9sh1ue3ub5s_7qX9oUAmRCkOEjLGhIHfFJdCLb9N`\ 4Kb6O_8RY9UVBXTC_QEbOFeLHhJJtIIkHIcHIYHHUHHSHIQFHO\ HGMIFKJFILEKMDNNDRPCUQBXRB`TAcU9fV9jX8mY7pZ7s_9rKA\ t0Br4Cp8DnBElFFjJFhMGfQHeTIcXJa`J_cKYgLWkMUnNSrNRu\ PTsQUqRVoSWnTXlVYjWZiX_gYaeZbd`cbad`be_cfYdgWk`phd\ eehVblK`q6_pAZpEYoIXoMWnQVnTUmXTm`SldRlhQklNosQkoT\ hlWehZbea_bdXZgUWjRSmOPoLMjMKeMI`NHWNFRODMOCHPACP8\ 8P7JKLUFYdAje9ge8ef8bf7`g7Yg6Wg6Uh5Rh4Pi4Mi3Kj3Hj2\ Fj2Ej2DmIIoNMqTQs_UzdfzlhxqwyqoyleyfXwaNvXEwRJvMNv\ HStBTr6Un1TjAScKRUU2K`6JfAIgEGlBHjEHhHHgJHeMHdOIbR\ IaTI_WIZYIX`IWbKY`L__MaZNcXOeWPgVQiURjSSlRTnQUpPVr\ NWtMXvLYwK`qIblHdgFfbEiXDkSBmNAoI9uZEznImqH`tGOwFC\ yEKiQRUaYEmDb`GeZJgYMiXPkW8PXD_VHjTLtRJTfH2v_V_NMk\ ADvBEpCFjDGdDGZN9BSQbfMguJkfLbSNUEPLM9fTOT_bFfp1RF\ 3uHBsLHqPNoTTmXZk`didjjew } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint