; Date: Tue, 19 Dec 2006 23:39:48 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 20-12-06 (A Fractal in Green [5]) ; Id: <1.5.4.16.20061219234157.37df4dd2@pop.mindspring.com> ; --------- ; ; FOTD -- December 20, 2006 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's unusually green fractal is named "A Fractal in Green". ; I found it in the parent fractal that results when 0.45 part of ; Z^(2.1) is subtracted from 0.5 part of Z^(1.9) and C is added. ; This parent fractal is a Mandelbrot set rotated 180 degrees, ; with two East Valleys and every bud splitting apart. The ; fractal for today is located in a sub-valley of a bud on the ; southeast shoreline of the main bay, though with the whole thing ; rotated 180 degrees, the bud actually lies on the northwest ; shoreline. ; ; The pattern around the midget at the center is a little beyond ; what would be expected in the classic Mandelbrot set, but it is ; not unusual enough to earn a rating any higher than a 5 -- an ; absolutely neutral rating. I rather enjoy the verdant greens in ; the image, especially at this darkest time of year, only a ; little over one day from the winter solstice. ; ; The image renders completely in 19-1/2 minutes -- slow enough to ; make a quick trip to the FOTD web site at: ; ; ; ; to see the image well worth the small effort. ; ; At 7am on Tuesday the day dawned clear and chilly here at ; Fractal Central. By mid-afternoon the sky was partly cloudy ; with a temperature of 41F 5C. By evening the fractal cats had ; worn themselves out and were waiting for their treats. During ; the afternoon, a half-grown stray cat wandered into the fractal ; back yard. I went out with a dish of food but the cat ran off ; as soon as I opened the door. I left the food sitting on the ; porch. If it's gone in the morning, we could be on the way to ; having a third fractal cat in the house. ; ; In my department, when the day began, it looked like we were in ; for a hectic day, but the troublesome job went far smoother than ; I had expected, and by early afternoon I found myself with ; nothing to do but search for fractals. As today's image shows, ; the search was successful. The next FOTD will appear in 24 ; hours. Until then, take care, and a new attitude makes all the ; difference. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= A_Fractal_in_Green { ; time=0:19:28.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident inside=0 center-mag=+0.61346358560439/+3.5760063758218/4295\ 30.9/1/7.5/1.14337e-007 params=0.5/1.9/-0.45/2.1/0\ /100 float=y maxiter=10000 periodicity=10 colors=000TciTchUchUchUXgUcgVcgVcfVdfWefWfeWgeWieX\ kdQmMOhQMgULhXLi`OjcRkgUmjXok_qlbsmeurhxvkzznzzqzz\ tzzwzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzdh1cf2be\ 2ad3ac3`b4_a4Z`5ZZ5YY6XX6XW6WV7VU7UT8UR8TQ9SP9ROAR\ NAQMBPLBPKBMJCKJCIJCGJCEJCCJCFGFIEILCLOAOR8RU6UX4X\ _2_b0bc2_c4Xd6Vd8SdAQeCNeEKfGIfIFfKDgMAgO7hQ5hS2hU\ 0eZFcbU`fhZjvXkuVltWlsZmsamrdnqhopkopnpoqpntqmwqmz\ rgysbxuYwwTuxOsyJqzEoy9lxAkwAjvAhuAgtAfsAdrAcrAbqA\ apA_oAZnAYmBWlBVkBUkBTjBRiBQhBPgBNfBMeBLdBKdBJbCJa\ CI_CIZCHXCHWCHUCGTCGRCFQCFPCFNDEMDEKDDJDDHDDGDCEDC\ DDBBDBADB9DFAJIAOLATPBZSBcVBhSJjQRkOYlMenKmoItpHrq\ GpqFnrEmrDksCisBhtAftAdu9bu8av7_v6Yw5Xw4Vx3Tx3Sx7T\ wATvDUuGUtJVsMVrPVqSWpVWoYXn`XmcXmb_laakacj`fi_hhZ\ jgZlgWiiUfjRdkPamMfnKUqOPdSIUWAJZ38Y6BX8EXBHWDKVGN\ VIQULTTNVTQYSS`gbzRSfQ_iPalPcnPcnPcnQcmQcmQcmQclRY\ lRckRckSckScjScjScjTciTci } frm:MandelbrotMix4 {; 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, 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========================================= ; ;