; Date: Tue, 11 Jan 2011 22:22:30 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-01-11 (A Brot in a Spot [6]) ; Id: <1.5.4.16.20110111222234.10871566@pop.mindspring.com> ; --------- ; ; FOTD -- January 12, 2011 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's excursion into the HyperMandelbrot set takes us to the ; East Valley area, where we check the condition of the large ; minibrot on the shoulder of the period-32 elephant on the ; southern side of East Valley. ; ; What we find is "A MiniBrot in a Spot". Minibrots are supposed ; to be empty on the inside -- this emptiness is what defines a ; minibrot. But the minibrot in today's image is filled with ; superfluous, concentric rings of curious stuff that makes me ; wonder whether it is still proper to call it a minibrot at all. ; ; I suspect that this extra stuff is not truly real. It easily ; might be an artifact of the math routine, when such tiny values ; as 10^(-100) are entered into it. But wherever the stuff comes ; from, it is one of the most curious things I have stumbled upon ; in all my 20-some years of fractal exploration. In tomorrow's ; image I will see what unexpected surprise goodies I can find on ; the inside of today's minibrot. ; ; The rating of a 6 is not as high as I would have preferred, but ; the fast calculation time of just over 2 minutes means that ; little effort will be required to run the attached parameter ; file. ; ; And for those with calculation problems, the finished image is ; available on the currently active FOTD web site at: ; ; ; ; The original FOTD web site, maintained by Paul Lee for almost 14 ; years, may be accessed at: ; ; ; ; but it is probably not up to date. ; ; Heavy clouds hung over Fractal Central all day Tuesday, and to ; make matters worse, snow began at 3pm. The temperature rose ; from 16F -9C at daybreak to an afternoon high of 28F -2C. The ; fractal cats checked the outside a couple times to keep track of ; the snow, then settled on their shelf by the heat. My day was ; about normal, which means everything stayed well under control. ; The next FOTD will be posted in 24 hours. Until then, take ; care, and it seems as though the more I learn, the less I know. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= A_Brot_in_a_Spot { ; time=0:02:06.93-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=+0.2596401989/-0.0015216554/33755.27/1\ /-162.5/0 params=0/0/0/0/-4.4/0/1e-100/0 maxiter=3000 inside=0 logmap=84 periodicity=0 colors=000MUWMTWNSVNSUNRUOQTOPTOPSPORPNRPMQPMQNPRM\ RRLTSJVSIXTHZTGaUEcUDeVCgVAiW9kW8nX7pX5rY4tY3vZ2xZ\ 4vX6tW8rUAqTCoSEmQGkPIjOKhMMfLOdKQcISaHU_GWYEYXD_V\ CaTAcR9eQ8eO9eM9eL9eJAeIAeGAeFAeDBeCBeABe9BfACfADf\ BEfBEfCFfCGfDHfDHfEIfEJfFKfFKfGLfGMfHMfHNfIOfIPfJP\ fJQfKRfKSfLSfLTfMUfMUgNVhOVhPWiQWiRWjSXjSXkTXkUYlV\ YlWZmXZmYZnY_nZ_o__o``pa`pbaqcaqcardbrebsfbsgcthct\ hcpgdmfeifffegceh_diXdjUckQclNbmKbnHZhFVcDRZBOU9KO\ 7GJ5CE3994BA5DA6EA6GA7HA8JA9LB9MBAOBBPBCRBCSBDUCEW\ CFXCFZCG_CHaCIcDIdDJfDKgDLiDLjDNkFPkHRkJSkLUkNWkPX\ kQZkS`kUbkWckYek_gkahkbil`il_ilZimYjmXjmWjnVjnUknT\ koSkoRkoQlpOlpNlpMlqLmqKmqJmrImsHntGpwFrzEtzDvzCxz\ DzyEzxKzwPzvUzuZztczshzrmzqrzpvzozznzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzumzymzzmzzmzzmzKOfPWyVUj`PUmOHzVz\ czzzz0tlJUzCz`khPzcDzcDzg2zQZzXcz0hzTmzXmz`mzHmzNm\ zTmzZmzFmzPmzZmzgmzlmzpmz } 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 ;