FOTD 23-09-07 (A Rite of Passage [7])
FOTD -- September 23, 2007 (Rating 7) Fractal visionaries and enthusiasts: To begin, I must apologize for the lateness of the FOTD. But we were out all day Saturday, leaving no time for a proper fractal search. With its rating of a 7, today's fractal turned out unexpectedly well, considering the little time I spent on it. The expression being iterated subtracts 2.3 parts of Z^(-1.75) from 2.3 parts of Z^(-1.25) and adds (1/C). The resulting parent fractal contains twin Mandeloids connected at the hip and surrounded by a large field of chaos. This chaos is filled with many small Mandelbrot sets, with today's scene being located in the East Valley area of one of the two largest sets. The image is potentially quite a good one, maybe an 8 or a 9, but as it is, I was too hasty with the coloring, which tends to the muddy side. Still, it's an interesting fractal, well worth a look. The name is pure whimsy. To take that look, run the included parameter file or view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But because of the lateness of this FOTD, it may be a little while before Paul gets the image posted. So be patient. The weather was quite good here at Fractal Central on Saturday (sunny, 86F 30C), which is why we decided to go out and have fun. The fractal cats slept through most of the day. The next FOTD will arrive at this same spot, on time in around 12 hours. Until then, take care, and please curb your fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Rite_of_Passage { ; time=0:04:59.89-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.419082571631869/+1.824668113269568/\ 1.26264e+011/1/115/0 params=2.3/-1.25/-2.3/-1.75/\ 0/0/0/0 float=y maxiter=3400 inside=0 logmap=570 periodicity=10 mathtolerance=0.05/1 colors=0009LYBPWCPVDP`FKeGFkHBpNPkSbgd2yZ1rU1lO0fJ\ 0`E0VF3SG6QH9NICLJFIJIGKLELOBMR9NU6OX4OZ2NX7MVBLTF\ KRJJPOINSHLWGJ_FHdEFhDDlDCpGP_J`KLl4Jm6In7Hn8Go9Fo\ ADpCCqDBqEArF9rG7sI6tJ5tK4uL3uMAoGGjBNe5T`0Ra5Qb9O\ cDNdHMdMKeQJfUHgYGgbFhfDijCjnBjrCipChoCgmCflCekCdi\ CchDbgDaeD`dD_cDZaDY`DY_KSVRMRYHMhBIm6Ec9AIB74D49I\ 6EN7IS8NUAUmBcmCmmEwpFwuGwzHwtIwoJmmKcmLYmMUmNRmOO\ mPLmQImRFmSGmTHmTImTImTJmUKmUKmULmUMmUNmVNNVOPVPQV\ PRVPSRPTOOUMNULMUKLUJKUIJVHIVGHVFGVEFVDSgbK`MPfVfH\ `dKacNabQa`Ta_WaZZbYabWdbVgbUjbgiwejudjscjqbjp`kn_\ klZkjYkiWlgVlzUlc0LD0VMXcVeHocJnaKmMRlKSkJUiHVfVSc\ TTcaKb_KaZYeXcdWjcUkbYdHXKMWKQVKVUkZzVAzXDzZGz_Iza\ LzcOzdQzfT_hWYiYVk`SaPTcRTdSTeUTfVTgWThYTiZTZ`TZaK\ ZbMZbOZbQZbSibqdVmhXimYfrZbv__z`Wzaazu_zrZzpYzmXzk\ WziVzfUzd7zf9zeAzeCzeDzeEzdGzdHzdIzdKzcLzcNzcOzcPz\ bRzbSzbPzrQzoRzmRzk9zU9zP } frm:MandAutoCritInZ {; 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=========================================
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Jim Muth