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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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=========================================