; Date: Thu, 31 Jan 2008 19:28:51 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 01-02-08 (One in a Googol [9.9]) ; ; Id: <1.5.4.16.20080131191856.0dbfac42@pop.mindspring.com> ; --------- ; ; FOTD -- February 01, 2007 (Rating 9.9) ; ; Fractal visionaries and enthusiasts: ; ; Today's image must be seen to be believed. If it's a result of ; imprecision, which is still a possibility, then imprecision must ; be considered as a formula for good fractals. BTW, doubling or ; halving the real(p3) parameter makes a noticeable difference in ; the purplish pattern filling the minibrot. ; ; I did not want to rate today's image at an absolutely perfect ; 10, so I gave it the next best rating, a penultimate 9.9. As ; promised, it's a scene in Hyper-East Valley of the HyperMandel- ; brot set. I named it "One in a Googol" because a perturbation ; of only one-googolth part of 1 makes all the difference. ; ; To see how much difference 1/10^-100 can make, reset the ; real(p3) parameter to zero. I will not try to analyze today's ; image, it is far too complex and I'm already mentally congested ; as it is. I'll wait until the end of the month, when, after a ; month's exploration, I'll have a better idea of what's going on ; in Hyper-East Valley. But most likely, even then I'll have ; little idea of what's going on there. ; ; The calculation time of 2-1/2 minutes is quite reasonable for an ; image that comes so close to perfection. But a simpler way to ; achieve the near-perfection is to visit the FOTD web site at: ; ; ; ; where the finished image is posted, and view it there at leisure. ; ; Thursday turned out as good as could be expected in this part of ; the country in midwinter. Lots of sun and light winds made the ; temperature of freezing quite comfortable. The fractal cats ; chased each other up and down the hallway until they ran out of ; energy and settled for a rest in the sunniest spot they could ; find. ; ; Except for the day's fractal discovery, which IMO is one of the ; most serendipitous of all time, my day was totally average. The ; next FOTD will appear in 24 hours. Until then, take care, and ; be as skeptical of rogue fractals as a true-believing skeptic. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= One_in_a_Googol { ; time=0:02:30.03-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot2 center-mag=+0.25874105460425120/-0.001343883319138\ 25/5.553303e+007/1/-162.5/-1.93254204222670367e-007 params=0/0/0/0/1/0/1e-100/0 float=y maxiter=3200 inside=0 periodicity=0 colors=000ZLgjGguCgtDftEftFftGftGftHftIfsJfsKfsKfs\ LfsMfsNfsOfuMssOfqPUoRHmO0nS4nW7p_AreDtjGvpczumrnc\ fdOYUPSLQQFQIBMLBRJESHGSIITKJTMLWOLYQMYSM`UNcVNfWO\ iXPlYRoZUr_Wu`Zxa`yc`zd_zfYtgWqeRocMiaId_F`YCXW9TX\ 6SX3SY7SYASZESZIS_MS_PS`TS`XSa`SacSbgSbkSfoQbnSZpT\ VsVSqWOqXKoZGm_Dk`9ib5gc2edNdbRd`UeZXeX_eVbeTebRh_\ PkXNnUMlSNjRNiQNgONeNNdMObLO`JO_IOYHORDPXGObJNhMMn\ PLtPKrPIqOHoNGnMFlLDkKCiJBhIAfG8eF7cE6bD5`C3_B2YA1\ X90YH2ZO3WW1ZV4`V7bVAdVCfVFhVIkUKmUNoUQqUSsUVuUYwU\ _qSXkQVeOS_MQVKOPILJGJDEG7CE2BC4AF69I88KA7NC6QD5SF\ 4VH3YJ2_L1bL0fM0dM3cN6aNA`ND_OGYOKXPNVPQUORVPTTPVR\ QWPQYNRZMR`KSaIScGTeETfDUhBUi9Vk7Yp2Vl6Sh9PdCQaDRZ\ DSXETUETRFUPFVMGWJGXHHXEHYBIZ9I_6J`3Ja0K`1J_5I_9IZ\ DHYGHYKGXOGWSFWWEVZEUbDUfDTjCQpBTmCVkCYiC_gCbeCdcC\ faDi_DkYDnWDpUDqQ8rSDrUHrWLsYPs_Ts`Ysbatdetfithmti\ qljhdj_YkSQkJIlABl2Ci4Dg6 } 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