; Date: Fri, 27 Jan 2012 18:44:20 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-01-12 (Ball Lightning [8?]) ; Id: <1.5.4.16.20120127184552.2b4747a4@earthlink.net> ; --------- ; ; FOTD -- January 27, 2012 (Rating 8?) ; ; Fractal visionaries and enthusiasts: ; ; Today's image gives a hint of the potential of the new 4-D ; formula, which might or might not eventually live up to ; expectations. ; ; Sometimes when working with fractals the fractalist gets what he ; expects; at other times he is totally surprised. Today's image ; is one of the total surprises. ; ; The scene lies in the area of the large minibrot on the main ; spike of the oversized and corrupted parent Mandelbrot set. The ; exact area is on the filament extending from the large north bud ; of the minibrot, near the not-quite-reachable point where the ; filament appears to suddenly narrow to a hairline. ; ; The parent Mandelbrot set has been corrupted by Z^(101) energies ; and enlarged 100 times, so that the corruption is invisible on ; the surface, though it lurks very near visibility. The angle of ; the slice is so remote in hyperspace that even a hyper-human ; would have trouble visualizing it. ; ; The big surprise lies in the large circular object on the ; lightning streak that slashes across the screen. Never would ; any sensible fractalist, (if any such an animal exists), expect ; something like this in a fractal that on its surface is a large ; Mandelbrot set, regardless of how corrupted the set may be in ; its depths. ; ; The name "Ball Lightning" was the first thing that came to mind ; when I saw the scene, though I am not sure that the electrically- ; charged plasma phenomenon known as ball lightning has yet been ; fully accepted in respectable conservative scientific circles. ; ; The rating of an 8? indicates that, even though I think the ; image is pretty good, I am not sure the wider fractal world will ; think the same. ; ; At any rate, the calculation time of a speedy 20 seconds will ; keep the potential for disappointment at a minimum. ; ; The finished image may be viewed online at: ; ; ; ; The high-definition version may be viewed at: ; ; ; ; The original FOTD web site may be accessed at: ; ; ; ; The day began with clouds and light rain here at Fractal ; Central. The clouds broke by midday, leading to a partly ; cloudy, windy afternoon with a temperature of 50F 10C. The ; fractal cats were annoyed by the on-and-off sunshine, and ; finally found comfort by the heat, which, due to the mild ; conditions, was off more than on. ; ; The humans, FL and I had a day of routine activity. The next ; FOTD is scheduled to be posted in 24 hours. But tomorrow is ; Saturday, and expeditions of various kinds have a way of arising ; unexpectedly on Saturdays, so there is no guarantee that it will ; appear on time. Until whenever, take care, and if nothing is ; real, why then are we so concerned about reality? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Ball_Lightning { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot6 function=recip float=y center-mag=+0.00000917557400528/-0.000001258744925\ 68/164353.8/0.1224/-3.54874019539208074/82.1269061\ 434486645 params=101/100/-105/-170/-150/-1.74/-176\ .0253402394/2.0506999724/-176.0253402394/2.0506999\ 724 maxiter=3200 inside=0 logmap=51 periodicity=6 colors=00080_80_80Z90Y90X90W90V90U90T80S70R60Q50P4\ 0O30N20M10K00I00G40E80CC0AG0FK0KO0PS0UW0Z_0cc0hg0m\ kJrogvpkwqozqs5rp9smCsjFtgItdLuaPuZSvXVwUYwR`xOdxL\ gyIjyFmzCpzAsxHpwOmuUjt`gsgdqmaptZozWkyYhx_ex`bwb_\ wcXveUugQuhNtjKtkHsmEroBrp8qr5qsXSwx3zw8swClvHevLZ\ uQSuULtZEtb7bXJLRU3LdDJeMHfVFgdDhmBiv9isAhpAhnBgkB\ ghCffCfcCf`DeZDeWEdTEdREdR9eN7bJ6_G5XC3V92S51P20Na\ P1UK8NGFGBM97T23_3iZN`ReTKxLDoMEfNFYOGPPHHPIJNHKMG\ MLGNKFOIEQHERGDSFDMFBGFALLEQRIVXM_bPdhTinXnt`szcjo\ UadLTUBKK2JH3IF4HD5GB6VFFhIOvLWXbR7sMSgFkX9iWGgWNe\ WTdV_bVe`Vl_VrfPklJdiFffBgc7h`3i_7e_Aa_DY_GUZKQZNM\ ZQIZTEWSHTRJQQLNPNKOPHNRFNTLXNRfHXpBby5Qk7EY8LY6SY\ 5ZY4eY3lY2sY1zY0OOWYTNgXEp`6kX9gUBcRD_NFWKHSHJOEL8\ 1fbUlcWddYYeZQf`JgaCVeRIhe5ks5mm5ng5oa5pW5qQ5rLApM\ FoNJmOOlPTjQXiQlhLZQTYSRXUQWWOVXNUZLT`KSbIScHMZKfD\ sgCpgCmhBjhBgiAdiAaiA_jFX } frm:SliceJulibrot6 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2), bb=imag(p1)-0.0000000000000000001, c=p+flip(q)+p4, z=r+flip(s)+p5: z=z*z*fn1(z^(aa)+bb)+c |z|< 100000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;