; Date: Sat, 25 Jan 2014 01:06:35 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-01-14 (Hyper-Mandel Scene [A-7,M-9]) ; Id: <1.5.4.16.20140125010718.2be7c9f4@earthlink.net> ; --------- ; ; FOTD -- January 24, 2014 (Rating A-7,M-9) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies deep inside a minibrot in Scepter Valley the ; Hypermandelbrot set, in an area that should be a total blank. ; I named it "Hyper-Mandel Scene" for obvious reasons. ; ; Do not ask me what the image shows or how the math works. None ; of it makes any sense. But the image certainly is real and it ; looks pretty good for something that makes no sense. ; ; The number of elements in the features circling the center ; increases in increments of two as we dive deeper into the ; bottomless center of the enclosing minibrot. But why does the ; number not redouble at every step? And if the number of ; elements reflects the periodicity of the area of the M-set in ; which it lies, why does the number not stay the same as we look ; deeper? ; ; There are obviously some big questions to be answered about the ; things done by the HyperMandelbrot2 formula, so I'll probably be ; investigating the 4-D hypermandelbrot set for quite a while. In ; fact, the next virtually impossible wonder will appear as the ; next FOTD. ; ; As I see it, the art aspect of today's image is worth a 7, while ; the math aspect remains at quite a high level, which today is a ; rating of 9. ; ; The calculation time of today's image is 5-1/3 minutes, on the ; slow side indeed. This slowness is largely caused by the need ; to turn off the periodicity when using the HyperMandelbrot2 ; formula. But all is not lost, for the web sites are always ; there to bring near instant relief. ; ; Satisfy your desire for instant fractals by visiting the web ; sites at: ; ; ; ; ; ; ; ; ; ; Today brought lots of sun to Fractal Central, but the morning ; low temperature of +3F -16C and paltry afternoon high of 19F -7C ; made the sun pretty much ineffective at bringing outdoor ; comfort. The fractal cats however had a pleasant day indoors, ; enjoying and sharing the sun on their shelf. The humans made ; out as best they could. ; ; The next FOTD will be posted in due time. Until whenever that ; might be, take care, and think about what the 'news' media is ; really doing with our emotions when it says things like 'should ; you be worried about....' ; ; ; Jim (it has me worried) Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Hyper-Mandel_Scene { ; time=0:05:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-1.2508739\ 37260226/+0.02375785984786841/2.980496e+009/1/-147\ /0 params=0/0/0/0/0.25/0/1e-100/0 float=y maxiter=3000 inside=0 periodicity=0 colors=000UT`YSaaQbeOciNdgQbfS`eUZdWXcYVa_T`aR_dPZ\ fNYhLWjJVlHUnFTpDSrCOmEKiGGeIC`K8XM4TO1PP6RNBSLGUJ\ LVHQXFVYD__Bd`AeaDebGebJecLfcOfdRfcYfcegepgezgfzgi\ zhmzhpzhtzhvzfwzdrzbmz`mzZcqXWmVUcTSUVTMXVJZWJ`YKb\ ZKd_LfaLhbMjdMleNngNphOqiOrjLrjJsjHsjFtjDtkAuk8uk6\ vk400000000000000000000000000000000000000000000000\ 01002003004005106327538848B5BF6FJ7KN8PRAVUB`ZCfbDk\ fEpiKrlUzpczsmzvzzzzzzzzzzzzzmzzczzUozMozLnDKnEInF\ HnG7Jf9NbAR_BVXCZUDbQEfNFjKTEuSHrRJpQLmPNkPPhOSfNU\ dMWaMY_L_XKaVJdTJfQIhOHjLGlJ0kk2lh3le4lc6l`7mZ8mWA\ nTDnRGoOJoMMpKPpNSqQVqTYrW`rZdscgthiumkvrmwvoxzqyz\ tzzwzz8SU9VSAYQB`PCcNDfLEiKFlIAsWBrUCqSCqRDpPEpNEo\ MFoKGnIqa4jd7df9ZhBSjDMlF7Od9S`AWYB_UDcREgNFkKyGCv\ JDsLDpNDmPEjREgUEdWFbYF__FXaGUdGRfGOhHLjHIlHfbradk\ cmemz_zzTzzNzzFzzGmAGcAGUAGLKGKUGKZGJaHJcHIeHIgHHi\ HHkHGmHKrOIpKia1gb3ec4cd5 } 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 ;