; Date: Wed, 01 Aug 2012 14:05:12 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 31-07-12 (Eleventeen Lobes [7]) ; Id: <1.5.4.16.20120801140829.38df1e16@earthlink.net> ; --------- ; ; FOTD -- July 31, 2012 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Most high order minibrots are dull boring things that tend to ; look the same. But when these minibrots appear as high order ; corruption in the depths of the Mandelbrot set, they can be ; surprisingly attractive. ; ; Today's image shows a Z^(11) minibrot that lies on a filament of ; the period-8 radical on the northwest shore line of the main bay ; of the oversized parent Mandelbrot set. It is not at all the ; dull and boring thing that one might expect. ; ; I named the image "Eleventeen Lobes" because of the eleven outer ; lobes surrounding the minibrot. (As is true of all Mandelbrot ; minibrots, there are n-minus-one inner lobes.) The word 'eleven- ; teen' represents a (really) imaginary number that I invented ; many years ago when I was learning to count. I never forgot it. ; ; The rating of a 7 is average, which is all one could ask of a ; fractal. ; ; The calculation time of 45 seconds is pretty fast. Only the web ; sites are faster. ; ; The finished image is posted online at: ; ; ; ; A high-definition rendering is at: ; ; ; ; The back images are available at: ; ; ; ; The day began cloudy here at Fractal Central, but by mid-morning ; the sun had burst through the low clouds, leading to a near- ; perfect afternoon with a temperature of 84F 29C. The fractal ; cats had a happy day, though Nicholas was a bit frisky at times, ; leading us to suspect that he had imbibed too much catnip. ; ; The humans had a typical day -- pleasant to experience but ; boring to report. The next FOTD will appear in something like ; 24 hours, with no guarantee given or implied. Until sometime, ; take care, and whenever a politician speaks the truth, he gets ; into trouble. I wonder why dishonesty is such a major part of ; political strategy. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Eleventeen_Lobes { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-39.31873307359325/+75.23723065753964/\ 1.577775e+011/1/-90/0 params=11/111 float=y maxiter=500 inside=0 logmap=36 periodicity=6 mathtolerance=0.05/1 colors=000d0Ia5MZAQWFUTKYQPaNUeKZiNcgQefTgdWecYca`\ a`c_ZfYYiWWkUVi`PhfKglFfrAex5fv7gt9hrBhpCinEjlGkjI\ khJlfLmdNmbOCI9BJAAKB9LC8MD7NE7OE6PF5QG4RH3SI2TJ2U\ J3SM3QO4OR4MT5KV5IY6G_6Ea7Cd7Af88h86k94m92oBAnCHnE\ PnFWmHcmIjmKknLknMloOloPmpQmpWkk`jfehajgXoeStdOsX_\ rPkqHvoGvnFvlEvkDviCvhBvfAveAvf9sf9pg8mg8kh7hh7ei6\ ci6`j5Yj5Wk4Tk4Ql3Ol3Lm2Im2Gn7EnBDoFCoJBpNApR9pV8q\ _6qc5rg4rk3so2ss1sw0lmFecU_VhZXfZYdZ_bY``Ya_YcYXdW\ XfUXgTWhRWjPWkNWlMTnSQpXOraPp`Po`Qm_Ql_Qj_RiZRgZRf\ ZS`TTVNTPIUJCUE7VB8X88Y59_29`09Z1BX1CV2EU2FS3GQ3IO\ 4JN4KL4MJ5NH5PG6QE6RC7TA7U97VDBTGERKIQNLORPMUSLYWJ\ `ZIdbGgeEB_PLaUVcZdedngiwhnwW_wKLw87pADjCJcEPYFVRH\ `LJfFKlIFTLB9ICEGDIEENBFR9GW7H_5Ic7Kb8La9M`BN_COZD\ PYEQXGRWHSVITUJUUOTQSSMXSJ`RFdRC__EVhFQqHLyIMwHMuG\ MsFNrENpDNnCNmBPkCQiCRgCSeCUcCVbCW`CXZCZXD_VD`UDaS\ DcQDdODTNbdKKpH1mK6jNAgQE } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;