; Date: Thu, 09 Jun 2011 20:46:23 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 10-06-11 (Two Times Seven [7.5]) ; Id: <1.5.4.16.20110609204622.10ef2404@pop.earthlink.net> ; --------- ; ; FOTD -- June 10, 2011 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; In today's image we return to the DivideBrot4 formula, one of ; the formulas I wrote while developing the FinDivBrot-2 formula, ; the one I now use most often for images with mixed characteris- ; tics. The FinDivBrot-2 is satisfactory enough, but the ; DivideBrot4 does a few things better than the FinDivBrot-2. ; ; Today's image shows one of these 'better' things. The scene is ; located rather deep in the East Valley of the oversized parent ; fractal, which on the surface resembles an everyday Mandelbrot ; set. Down at the depth of today's image however, things get out ; of control. The quadratic minibrots have transformed into ; order-7 minibrots, but these minibrots have lost all pretense of ; 7-part symmetry, and are surrounded by patterns that appear to ; be a combination of Z^2 and Z^7 features. ; ; The image shows an order-7 minibrot with every lobe doing ; something entirely different. Some lobes connect out to the ; surface, while other lobes quickly come to a dead end. ; Countless smaller minibrots fill the image, easily located by ; their brilliant orangish coloring. Though these smaller ; minibrots share a similarity, no two of them are exactly the ; same. ; ; The result of all this chaos is a rating of a 7-1/2, 1/2 point ; of which is due to the extra effort on the coloring. (If I had ; totally eliminated the color bands, the image could have rated ; an 8.) The calculation time of 3-1/4 minutes is not quite a ; bargain, but a fair price to pay. ; ; The name "Two Times Seven" refers to the mixture of quadratic ; and order-7 elements in the image. ; ; The fully calculated finished image is posted at: ; ; ; ; The image is posted in high-definition at: ; ; ; ; The 14-year-old original classic FOTD web site with all the ; early images may be accessed at: ; ; ; ; Another hot, hazy, muggy day prevailed here at Fractal Central ; on Thursday, with a temperature of 95F 35C. Heavy storms ; threatened all afternoon, but at 6pm they had not moved in. The ; fractal cats took things slowly, even asking for their treats in ; subdued slow motion. ; ; The humans also had a slow day. FL was concerned with a rain ; gutter that overflows on her garden, but the repair is not yet ; in sight. The next FOTD will be posted in 24 hours. Until ; then, take care, and when we finally do work out a theory of ; (almost) everything, will we be able to understand it? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Two_Times_Seven { ; time=0:03:16.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot4 center-mag=+1.864192528962\ /-0.0236455806899/1.28447e+009 params=7/7/2400/0 float=y maxiter=6400 inside=0 logmap=696 colors=00059L5AM5BN5CO5DP5EQ5FR5GT5HU5HW5GX5GZ5G_5\ Ga5Gb5Gd5He9JdCLcFMbINaMO`PQ_SSZVVYZXXaZWd`YfcZhfc\ ikhipmhsreuvbxzXwzRuzMtvOrrPpmRmhSjcThZVeUWcPY`MZZ\ K_XMaUObSQcQSdTReWQfZQfaPgdOhgOijNilNgnQfpTdrWctYa\ v``xc_yeXxaUxZRxWVwTZwQcwNhvKmvHrvEvuBzu8zu5Qd9WT8\ aH8f68cABaEE_IGYMJWQLUUOSYQQaTOeVMiYKl_NmbQmeSnhVn\ kXom_opapsdpvfpxaqrXqmSrhQocOlZLiUJfRHcPE`QCYRAVS8\ SSCTR8_t4Ys6Xp8XmAXkCWhEWeGWcIW`JVYLVWNVTPVQRUOTUL\ VUIWUG_XJc_LgbNkdQogSsjUrlZqnblphhrnctt_vzYtwWruUp\ rSnpQlmOjkMihKgfIecGcaEaZC_XAYU9XSDURGSRJQQMOQQMPT\ KPWIPZGOaEOeCNhANk8Mn6Mq4Mq6Lq8KqAJqCIqEHqFGqHFqJE\ qLDqNCqOBqQAqS9qU8qW7qX6oZ5q`4sa4vd3zg2zi2zk5zl7zl\ AzmCzlFzkHzgGydGwaGv_GuYFtWFsUFrSFpRLnQRlQXj`bhchf\ cndctbczecjgcVicFjmKkmPkmUlmZmzcmzhnzmozrozwqzsszo\ uzlwzhyzeszcnzahz_czYZzWTzUOzSJzRIzQHzPHzOGzNGzMFz\ LFzKEzJEzIDzHDzGFzFGzEHzD } frm:DivideBrot4 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1), d=real(p2)+100: z=sqr(z)/(z^(-a)+b)+c |z| < d } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;