; Date: Mon, 03 Feb 2014 19:05:26 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 03-02-14 (The Big Break-Up [A-5,M-8]) ; Id: <1.5.4.16.20140203184336.390f5da8@earthlink.net> ; --------- ; ; FOTD -- February 03, 2014 (Rating A-5,M-8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the hyper stuff filling an unresolved ; filament in the East Valley area of yesterday's image. Its name ; is "The Big Break-Up", which does not refer to a failed love ; relationship, (sorry ladies) but rather to the two arms at the ; center of the image that have broken off from the other four. ; ; The image is actually a two-dimensional slice through the four- ; dimensional HyperMandelbrot set. And this 4-D HyperMandelbrot ; set is a 4-D slice through its parent eight-dimensional Juli- ; brot. I'll make no effort to describe things possible in 8-D ; space; It's hard enough to describe things in 4-D space. But ; one thing certain is that: ; ; 8 lines ; 28 planes ; 56 3-spaces ; 70 4-spaces ; 56 5-spaces ; 28 6-spaces ; 8 7-spaces ; ; pass through every point in 8-D space. ; ; Not surprisingly, this series of numbers appears in Pascal's ; Triangle, as do many other interesting number series. ; ; Down to this point, the near circular hyper-holes have had six ; broad arms converging toward their centers. But in today's ; image, two of these arms, the two on the right, are breaking ; away from the main mass, and from here on down there are only ; four arms converging on the centers of the holes. Will two more ; arms break away somewhere down in the bottomless depths and ; leave us with only two converging arms? I have no idea, but the ; number of arms remains at four as far as the Fractint program ; can take us. ; ; As far as I can see, there is too little art in the image for a ; rating above an everyday average 5. The math aspect is far more ; interesting however, and rates an 8. ; ; The calculation time of 1-1/3 minutes is fast enough to prevent ; impatience, but the task of setting up and running the included ; parameter file remains unsolved. The web sites will solve this ; situation. ; ; Calculation is really not much fun, so avoid it by checking the ; finished image on the web sites at: ; ; ; ; ; ; ; ; ; ; Snow began at daybreak here at Fractal Central today, and ; continued at a moderate rate all morning, piling up to about 5 ; inches or 13cm by the time it ended in the afternoon. The ; fractal cats were amused by the falling snow for an hour or so, ; then kept themselves busy by chasing each other up and down the ; hallway. The humans were in work mode in the morning, but we ; shifted to snow-clearing mode in the afternoon. ; ; The next FOTD will be posted shortly. To see how shortly, check ; back here at frequent intervals. Until this big fractal event ; happens, take care, and when someone claims that matter is the ; ultimate reality, I don't mind; and when someone else claims ; that mind is the ultimate reality, it doesn't matter. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_Big_Break-Up { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.7544388\ 80647367/+0.05254690385569359/5.8041e+010/1/58.25/0 params=0/0/0/0/0.5/0/1e-100/0 inside=0 maxiter=1310 float=y logmap=1052 periodicity=0 mathtolerance=0/1 colors=0004AX5BW6CU8DSAEQCFOEGMGFKJEIODGTCEYBCcAAr\ u0qt0ps0nr0mq0lp0jo6inAhmEelIbiM_fQXcUV`XSY_PVbMRe\ JOhHLkEInBFq8Ct69w9BuBDsDFqFHoHJmJKlLMjNOhQQfSSdUT\ cWVaYX__ZYa`_caddcieemfgqghtgjwhlzimzjozjqzkrzltzz\ vzzwzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzSCQ`KNiTKr`HmbLic\ OdeR`fUXhXSi_OkbKleImaGnYEoUCpQAqM8rI7rEEsBKt9Qt7W\ u5au3enDigNmaWqVeuOoxIxU5EiCXyJoqQjjWeca`WgWPmRIsM\ PRZRWcS_hUcmVgrQjlLmfHp`NiYSbWYXTbQRhKOmDMr7Kj_Jkb\ IleHmhGnjFomEppDqsCquBmpFjlJghNddQ`_UYWYVSaSOdZTid\ YmjbqpguvlyweswZnxSixLdYfgXbdW_bVW_TSXSPVRLSQHPPEN\ OAKN6HM3FL6IL9LLCNLFQLISLLVKOXKR_KUaKXdK_fKbiKdkOe\ iSfhWgg_hfcidgjckkbolamm_lmZjmXimWgmVfmTdmScmRbnP`\ nO_nMYnLXnKVnIUnHTnGyE1xG4wI7vKAuLCtNFsPIrQKqSNpUQ\ oVSfPNYKIQFDPDEOCFNBGMAHL9IK8JK7KJ6LI5MH4NG3OF2PF1\ QH5TI8WJBZKEaLHdMKgNNitWK } 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 ;