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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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=========================================