; Date: Wed, 23 Jan 2008 23:25:58 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 24-01-08 (Hyperseahorse Valley [8]) ; ; Id: <1.5.4.16.20080123231556.2b5731b0@pop.mindspring.com> ; --------- ; ; FOTD -- January 24, 2008 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's circular image is a scene in Hyperseahorse Valley of the ; Hypermandelbrot set. I know that it looks nothing like a scene ; in the familiar Seahorse Valley, but Hyperseahorse Valley is a ; horse of an entirely different color. The HyperMandelbrot ; formula that created the image is the most enigmatic one in my ; active list. It appears to draw some of the Mandelbrot slices ; that the type=hypercomplex formula misses, though actually, I am ; not sure exactly what it does draw. ; ; We know that these hyper-elements exist in the 8-dimensional ; Hyperjulibrot figure because we see them in the images created ; by the type=hypercomplexj formula, which draws a far greater ; variety of slices than the type=hypercomplex formula, but some ; of the images appear so unlikely that I cannot shake the ; impression that they are artifacts of mathematical imprecision ; rather than true fractals. But whatever the images are, the ; HyperMandelbrot formula is infinitely versatile, and I have ; barely scratched the surface of what it can do. ; ; The rating of an 8 is based mostly on the mathematical interest ; of the image. The artistic worth is merely average. The name ; "Hyperseahorse Valley" describes the location of the scene in ; its parent fractal. ; ; The calculation time is a disappointingly slow 1/2 hour even on ; the super-speedster 2000mhz machine. The calculation is so slow ; because the periodicity must be turned off when working with the ; HyperMandelbrot formula. But all is not lost, for the completed ; image is posted on the FOTD web site at: ; ; ; ; where it may be enjoyed at leisure. ; ; A fairly average but brilliantly sunny day here at Fractal ; Central on Wednesday went un-noticed by the fractal cats, who ; spent the day chasing each other up and down the hallway. By ; the time the evening tuna treat was served, they were totally ; exhausted. ; ; My day was fairly busy, but under control. The next FOTD, ; which will be another scene in Hyperseahorse Valley, will be ; posted in 24 hours. Until then, take care, and what the heck ; are those 'rods' the UFO fans are talking about. I doubt that ; they are discussing the anatomy of the eye. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= HypersehorseValley { ; time=0:29:22.50-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot center-mag=-0.743377645/+0.1010200296/4126.308 params=0/0/0.2/0/1e-007/0 float=y maxiter=32767 inside=0 logmap=212 periodicity=0 colors=000`PWaRYbS_cUadUbfUdgUfhUgiVijWkhXjcYiZZhU\ _gP`fOaePacQbaRbbSccTcdUdeUdfVegWehXfiYfjZgk_gl`hm\ ahnbiobipYghUfaQeVLcNHbGDa99`2DY7GVCJTHMQMPORSLWVI\ `YGe`DjcBof8ti6xhCvhHuhNthSshYrgbqghpgmogsngxmhsei\ nYjiQkdIl`AiZ9gX9eV8bT8`R7ZP7WN6UL6SJ5QH5NF4LD4JB3\ G93E72C52A32C45D58E6BG7EH8HI9JJAMLBPzCuzDmzDczBLvA\ 9rC9mE8cG8UI8RK7RM7QO6QQ6PS6PU5OW5OY4N_4Na4Mc3Me3L\ g2Li2Kk2Um1co1mq0wu0wz0mq3cm6Ui9KeCCaFBYIAUK9QN8MQ\ 7Iz6EW5Az46a33z9DdFNzLWzRezWnzUgzSazRW6SU8TTAUSCVR\ EWQGXPIYOJZNL_MN_LP`JRaITbHVcGWdFzeEzfDzgCzhBzhAvg\ BrfCmeDhdEgdFgcGgbHgaIg`Jh`Kh_LhZMhYNhYOhXPhWQhVRi\ USiUTiTUiSViRWiRXiQYiPZjO_jN`jNajMbjLcjKdjKejLfkMg\ kNgkOhlPhlQilRjlRjmSkmTkmUlmVlnWmnXnnYnnYooZoo_po`\ qoaqpbrpcrpdspdsqetqfuqguqhvrivrjwrjwrixqiypizohzn\ hznhzmgzlgzkgzjfzjfzifzhezgezfezfdzedzddzcdzcczdbz\ eazf`zf_zgZzhYzhXziWzjVzj } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint