; Date: Sun, 22 Jun 2003 09:54:31 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 22-06-03 (Haidinger's Brush [5]) ; Id: <1.5.4.16.20030622095418.29a77d86@pop.mindspring.com> ; --------- ; ; FOTD -- June 22, 2001 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image reminds me of Haidinger's brush, and that is what ; I named it. Haidinger's brush is not a cleaning device or ; scrubbing device; it is almost like a fractal. The brush is not ; a real brush at all; it is a figure seen at the center of the ; field of vision when gazing at a smooth and polarized source of ; light, such as the clear blue sky at 90 degrees from the sun. ; ; This ability of the unaided human eye to detect polarized light ; is little known, but most certainly does exist and can be ; scientifically demonstrated. Though it is not actually a sixth ; sense, it comes rather close. A far more complete discussion ; can be found on the internet at: ; ; ; ; As a fractal, today's image rates a 6. It was created by ; subtracting 1.2 parts of Z^(-0.93) from 1.2 parts of Z^(0.93) ; and adding (1/C) instead of plain C. The resulting parent ; fractal has a large bay with a very extended, drawn-out shore- ; line dotted with tiny bays. Today's scene is located on one of ; the arms of a 'star' at the tip of the filament extending from ; one of these bays. ; ; The image is not all that different from what would be found in ; the classic Mandelbrot set at a similar location. Therefore, I ; could rate it no higher than an average 5. But this is the ; *FOTD* average. And the FOTD average is well above the average ; of all fractals :-) so the image is worth a quick look, if not ; the 23-minute render time. ; ; That quick look may be found at Paul's web site: ; ; ; ; or at Scott's site: ; ; ; ; Scattered thunder-showers started popping up in the local area ; around 4pm on Saturday, finally joining together into one ; monster storm at 7pm, which flooded many sections on the east ; side of town. Fractal Central, which is on the east side, ; escaped with only a puddle of water in the basement; others were ; not so lucky. Before the rain arrived, the temperature reached ; 73F 23C, and there was enough sun to give the cats a satisfac- ; tory day in the grass. The forecast for today is for improved ; conditions. We'll see what happens . . . ; ; Today I find myself going on another of those trips to examine ; the old junque that others have discarded. Departure time is in ; an hour, so until next FOTD, take care, and the best is yet to ; come. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Haidingers_Brush { ; time=0:23:23.32--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-1.97873106110103800/+1.880302311215394\ 00/486402.7/1/-30/1.06422635703928847e-008 params=1/0.93/-1/-0.93/0.2/-30/0/0 float=y maxiter=3200 inside=0 logmap=347 periodicity=10 colors=000UKUXY_TZaP_cLcgIgkFjoBns8rw5uzG_gQFQBHRD\ JQFKQHMQJNQLOQNQQORPQSPSUPUVPWWPYYPZZP`_ObaOdbOfcO\ heOjfOkgNmiNojNqkNsmNuoNwqQvoNukKtfHsaErZBqU8pM5jP\ AdSEZVJTXNN_SHbWBe`6gd8eb9c`BaZC_XDYVFWTGVRHTPJRNK\ PLLNJNLHOJFPIDRGBSE9TC7VA5W83X71Y93YA5YB7YC9YEBYFD\ YGFYHHYJJYKLYLNYMPYORYPTYQVYRWZSV_SU`TTaTTcUSdVReV\ QfWPhWOiXNjXNkYMlZLnZKo_Jp_Iq`Hr`Hq_Iq_Jq_Kq_KqZLp\ ZMpZNpZNpZOpYPpYPoYQoYRoYSoXSoXTnXUnXVnWVnWWnWXnWX\ mWYmVZmV_mV_mV`lValUblUblUclUdmSclUdlWelXelZfk_gka\ gkchkdijfijgjjikjkkillinmiomiqnirngslfskesjdsicsga\ sf`se_sdZscYsaWs`Vs_UsZTtXStWRtVPtUOtTNtRMtQLtPJtO\ ItMHtLGtKFtJCvJEtIFrIHpHInHKlGLjGNhFOfFQdERbETaEU_\ DWYDXWCZUC_SBaQBbOAdMAeK9gI9jE8hH9fJ9dL9bOA`QA_SAY\ VBWXBUZBS`BQcCPeCNgCLjDJlDKmDMnDOoEQpESqFUrFWsGYtG\ _uGavHcwHexIgyIizIkzJmzJozKqzKrzLszLtzLuzMvzMwzNxz\ NyzNzzNzzNzzNzzQzzSzzUzzW } frm:MandelbrotMix2 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ;