; Date: Sun, 26 Jan 2014 20:18:35 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-01-14 (Hyperseahorses [A-6,M-9]) ; Id: <1.5.4.16.20140126195638.0ddf90f6@earthlink.net> ; --------- ; ; FOTD -- January 26, 2014 (Rating A-6,M-9) ; ; Fractal visionaries and enthusiasts: ; ; As far as I know, the four-dimensional HyperMandelbrot set is ; virtually unexplored, so with today's image I have decided that ; it's time to do some exploration. ; ; To begin the investigation we see what trouble we can get into ; in the Seahorse Valley area of the hyper-M-set. As the ; coordinates show, today's scene is located deep in the north ; branch of the valley. I named the image "Hyperseahorses" ; because of its location in its parent fractal. The diagonal ; shaft is the actual north branch of the valley, which is ; oriented so that north points to the lower right. ; ; The main shaft of the quadratic valley is apparent enough, but ; all the other stuff is part of the hyper-M-set. ; ; I see almost nothing in the image that even vaguely resembles a ; seahorse. What I do see is a medley of features that have ; little resemblance to the features of the classic M-set. It ; will take quite a bit of experimenting to make sense of the ; things in this image and images to come, but being curious, I'll ; certainly give it a try. ; ; The art rates a 6. I see nothing very artistic in the image. ; The math however rates a 9, since I'm sure to find a lot of ; interesting quirks in this area. ; ; The image calculates in 3 minutes on the average SOTA machine ; that does not crash when it senses the presence of a DOS ; program. The web sites can bail out these machines that panic ; when DOS appears. ; ; To avoid all cumbersome calculation, check the finished image at: ; ; ; ; ; ; ; ; ; ; Except for a period of light snow in the afternoon, today was ; partly cloudy and chilly, but pleasant enough, with a high ; temperature of 21F -6C. The fractal cats had a lazy day -- ; typical for a ten-year-old cat but unusual for a five-month-old ; kitten. I had a lazy day to myself, while FL spent the week-end ; visiting with old friends back in Baltimore. ; ; The next FOTD will probably be posted in one day. If it is not, ; then it will appear in two days. Until it does appear, take ; care, and who is really running the world. Is it the world's ; governments, the big corporate conglomerations, or could it be ; the aliens from Sirius C? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Hyperseahorses { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t float=y center-mag=-0.7500079994/+0.0019964869/37374/1/\ -122.5/0 params=0/0/0/0/0.25/0/1e-100/0 maxiter=2250 inside=0 logmap=1540 periodicity=0 colors=000WFSXFSYFRZFR_FR`FRaFRbFQcFQdFQeFQfFQhFPi\ FPjFPkFPlFOmFOnFOoFOpFOqFNrFNsFNtFNvELuFNuGPuHRuIS\ uJUuKWuLXuMZuN`uOauPcuQeuRguShuTjuUluVmuWovWquWrtW\ rsWqrWoqWmpVloUmnUlmTklSjkShjRgiQfhQegPdfOceNbdNac\ M`bL_aLY`KX_JWZJVXIUVHTTHSRGRQFQPFPNCWL9bJ6iH4oI4n\ I4mJ5lK5jK5iL6hM6gM6eN6dO7cP7bP7`Q7_R8ZR8YS8WT9VT9\ UU9TV9RVAQWAPXAOi9WXANLBF4sO4rO4rN4rN4rN4qM4qM4qM0\ uN4qM8nLCkKFgKJdJNaIQYIUVHYSG`OGdLFhIEkEEoBDs8Cv5C\ cUDNpBMqDMqEMqFLrGLrHLrILsJKsKKsLKtMJtOJtPZgaUhcPi\ eLigMheNhdOgcPgbQfaRf`Se_TeZUdYVdXWcVXcUYbTZbS_aR`\ aQa`Pb`Oc_Nd_MeZKfZJgYIhYHiXGjXFkWElWDmVCnVBq`5oY8\ nVAmSCkP8lQElRJlRPlSUlSZmTdmUimUomVtmVyjXxhYxeZwc_\ w``wZbvWcvUdvSeuPfuNhtKitIjtFksDlsCowBnuBmsAmrL7tO\ 6rS6pV5nZ4ma4ke3ih3gl2fo1ds1bv0`y0_AAaAFcAYeAhg9ki\ 8lf7mc7n`6oY6pV5qS4AP5AVFKJKkGPoHUwIaxGkyMpzUzzczz\ mzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;