; Date: Wed, 30 Jan 2008 22:31:23 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 31-01-08 (Seahorse Asymptote [7]) ; ; Id: <1.5.4.16.20080130222126.0db72318@pop.mindspring.com> ; --------- ; ; FOTD -- January 31, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today is the last day of January, and the last day of the theme ; of January -- scenes in Seahorse Valley. The tour has taken us ; far afield, even into spaces of 8 dimensions to explore Hyper- ; Seahorse Valley. Today's image focuses on a point very near the ; point where the classic valley's two branches would reach the ; X-axis if they were calculated to infinity. ; ; I named the image "Seahorse Asymptote", a name that makes it ; look like I know what I'm talking about when I discuss fractal ; mathematics. Then I gave it a rating of a 7, a rather generic ; rating which means that, even though I can find nothing excep- ; tional in the image, I am not disappointed by it either. ; ; It is immediately apparent that HyperSeahorse Valley is a far ; more complex thing than classic Seahorse Valley. The hyper ; version of the valley has networks of arms spanning the empty ; spaces between major elements that are far more intricate than ; those in the more familiar valley. Today's image is but a small ; example of the intricacy lurking in the HyperSeahorse Valley. ; ; It is also apparent that the image is actually a perturbed one. ; Since the HyperMandelbrot set is 4-dimensional, the hyper-mini- ; brots within it must be 4-dimensional also. And I assume they ; are oriented in any possible direction within the 4-D Mandelbrot ; set, just as the classic minibrots are oriented in all possible ; directions in the classic 2-D M-set. But who knows what variety ; of perturbed slices this means are possible. ; ; The theme for February will be HyperEast Valley of the Hyper ; M-set. I will not refer to it as HyperElephant Valley, since ; elephants are already hyper enough without expletives added. I ; expect quite a few strange and perhaps entirely new things to ; show up on the eastern fringes of the main hyperbay. ; ; The calculation time of today's image is 6-1/2 minutes. This ; time may be cut by 1/3 by using one of the faster calculating ; algorithms, but when this is done, there is always a chance that ; some of the finer detail will be missed. Considering all of the ; above, the best way to see the complete scene intact is to visit ; the FOTD web site at: ; ; ; ; where it is or soon will be posted for instant gratification. ; ; Overnight rain ended at daybreak Wednesday here at Fractal ; Central, and the sky cleared by 9:00am, but the high winds of ; 50mph (80kph) that prevailed for the rest of the day made the ; temperature of 34F 1C feel far too chilly for comfort. The ; fractal cats agreed and rolled over on their shelf on top of ; the radiator. ; ; My day was fairly busy; tomorrow will likely be the same. The ; next FOTD will appear in 24 hours. Until then, take care, and ; be at one with the secular universe. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Asymptote { ; time=0:06:38.48-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.74371926345344550/0/3475050/1/-90/0 params=0/0/0/0/0.1/0/1.091e-005/0 maxiter=1800 float=y inside=0 periodicity=0 colors=000q`MqZMrXMrWMrUMrTMrRMrPMrOMrMMrKMrJMrHMq\ ELrGMrHNrIOrKOrLPrMQrORrPRrQSrSTrTTsUUsWVsXWsYWs_X\ s`YsaZscZsd_se`veZsf`qfaogbmgcjgdhhffhgdhhaii_ijYi\ kWjmTjnRjoPkpNkqLkrKiqKgqJfqJdpJbpIapI_pIYoHXoHVoG\ UoGSnGQnFPnFNnFMmENmENmENmENmENmENmENmEOmEPmEQmERm\ ESmESmESmESmESmESmESmESmERmEShETcDUdDUaDTaDVcDZd9c\ n9bn9an9`n9_n9Zn9Yn9Xn9WnEVnIUnLTnOSnQRnTRnWWmYVm`\ TmcSmeQmhPmkOmmOmlRlkTkkUjjWiiXhiYhhZgh_fg`efadfbc\ eccedbdeacf`cg_bhZbiZajY`kX`lW_mVCvh_nVYlTWjSUiQSg\ PQeNOdMNbLL`JJ_IHYGFWFDVDBTCASBDUAGVAJW9LX9OY9RZ8U\ `8Wa7Zb7ac7dd6fe6if5lh5oi5qj4tk4wl3zm3zn3xl6uk9qjB\ nhEkgGgfJdeLacOYbRVaTS_WOZYLY`IXbP_ZWbVbeSihOplFoj\ LniQmhVli`mg_mf_md_nc_na_n`_nZ_oY_oW_oV_oT_pSZpQZp\ PZqNZqMZqKZqJZrHZrGZrEZqB`rDZsEYtFWtHVuITvJSvLQwMP\ xNNxPMyQKzRJzTHzUGzVEzXDzYBzZAz_9zaAzbBzcCydCxeDvf\ EugEthFsiGrjGqkHolIqcMqaM } 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