FOTD -- November 12, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: Yes, there is a minibrot in the lower part of today's image, and there is a less obvious upside-down cubic bud in the upper part. And this has anything to do with the number of iterations a par- ticular point takes before reaching an arbitrary distance from the origin. Escape time is not involved in the image because it consists entirely of trapped points that have been made visible by the 'bof60' inside fill, which colors the points according to how close to the origin they come in their trapped wanderings. The most amazing thing is that the small Mandelbrot set and the ghostly cubic bud are actually there at all. The more I work with fractals, the more I come to see the Mandelbrot set as a universal presence, created in potential by mankind when he invented and defined complex numbers. With all this in mind, I named today's image "Mystical Mini- brots". Of course, only one obvious minibrot exists in the image, but I see other brilliant yellow points scattered about. Could these be other minibrots? Only a further investigation will tell. The rating of an 8-1/2 includes a self-awarded half point for the effort I expended in getting smooth gradation with only 256 colors. The calculation time of 3-3/4 minutes is extrapolated from the 14 minutes the image took to run on the P200 machine. The 2000mhz unit is still out of action. The image may also be seen and hopefully enjoyed by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it without effort there. Leaden gray skies and a chilly temperature of 43F 6C made Tuesday a rather forgettable day here at Fractal Central. The fractal cats again complained when the sun failed to appear as scheduled on their shelf in the southwest window. I eased my own gloom by treating myself to a genuine New York egg cream. The next FOTD will be posted in 24 hours, a fact that hardly needs to be repeated. Until that (IMO) wonderful moment, take care, and choose wisely. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Mystical_Minibrots { ; time=0:03:45.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 passes=t periodicity=10 center-mag=-2.5071809/0/91.53/1/-90/0 params=-3/100 float=y maxiter=1000 inside=bof60 logmap=yes colors=000zzzzqmzjcreUmZEcVEUSEOODKMDKLDKMEKKQFFXA\ Ac55j65j76j86j97jA7jB8jC8jD9jE9jFAjGAjHBjIBjKCjLDj\ MEjNFjOGiPHhQIgRJfSKeTLdUMcVNbVOaUP`UQ_URZUSYTTXTT\ WTTVSTUSTTSTSSTRRTQRTPRTOQTNQTMQTLPTKPTJPTIPTHOTGO\ TFOTENTDNTCNTBMTANS9NSANSBNRDNREOQFOQHOPIOPJOOKPOM\ PNNPNOPMQPMRPLSQLTQKVQKWQJXQIZRI_RH`RHaRGcRGdRFeSF\ gSEhSEiSDjSDlTCmTCnTBpTBqTArTAsSBrSCrRDqREqRFpQGpQ\ HpPIoPJoPKnOLnOMnONmNOmNPlMQlMRlMSkLTkLUjKVjKWiKXi\ JYiJZhJ_hI`gIagHbgHcfHdfGeeGfeKheQjdWldancgpcmqchk\ `c`YURVKHSL9PM1MN2NN2NN2NN2NN2NN3NN3NN3NN3ON3ON3ON\ 4ON4ON4ON4ON4ON5PN5PN5PN5PN5PN5PN6PN6PN6PN6QN6QN5P\ N4OL3NI2MF1ID0FA0A505000N8RN8RN9RN9RN9RN9SN9SN9SNA\ SNASNASNASNASM9RNASNBSOBSOCTPCTPDTQDTQEURFURFURGVS\ GVSHVTHVTIWUJWUJWVKWVKXVLXWLXWMYXNYXNYYOYYOZZPZZPZ\ ZQZ_R__R_`S_`S`aT`aT`bU`bVacVacWacWbdXbdXbeYbeZcfZ\ cf_cg_cg`dg`dXVEXVEXVDXVD } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================