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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's adventure in the land of 'tdis' came about when I mixed 1.3 parts of Z^(-0.75) with 1.3 negative parts of Z^(0.95) to create a parent fractal that is one of the most distorted Mandelbrot sets I have ever seen. The period-2 bud in this set is actually twice the size of the main bay. Today's scene is located in a string of debris that extends from the tip of the main stem of this M-set. I named the image "Redder Ranger". I have no idea why I chose such an unlikely name. It just kind of popped into my head. The rating of a 6 seems about right for such an everyday image. The render time is an unusually brief 53 seconds -- less time than it takes some computers to start up. As always, the finished image is available from the FOTD web site at: Morning rain gave way to afternoon clouds and a temperature of 48F 9C here at New Fractal Central on Monday. The fractal cats were cats through all of it. My day was humdrum. The next FOTD will appear in more or less 24 hours. Until that golden moment arrives, take care, and be alert for runaway fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Redder_Ranger { ; time=0:00:52.51--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident float=y
center-mag=-10.6320844947563/-8.061881237056673/\
3.486286e+007/1/-35/6.28612928792183e-006 inside=0
params=1.3/-0.75/-1.3/0.95/0/100 periodicity=10
maxiter=750 outside=tdis mathtolerance=0.05/1
colors=000eQZ`SWXTTSUQOVNJXKFYHAZE4`96_B7ZD9ZFAYHC\
YJDXLFXMGWOIVQJVSLUUMUWOTY86MPTZculeojfjhgefh_diVb\
kQ`lKZmFXnAVs0Uo5Tl9SiERfIQcNQ`RPYWOV_NScNTaOT`PTZ\
QTYRTWSTVTTUUTSVURWUPXUOYUNZUL_UK`UIaUHbTIeUGcUFaU\
D_UCYUAWV9UV7SV6QV4OV3MV2KS6JQ9JODIMGIKKIHNHFRHDUG\
BYG9`GAcMAeRAgWAi`AkeAmjAooAqtAkuAfvA`wAWxEUsITnMR\
jQQeUO`YNXaLSeKNiIJmHEqF9tE5oD4kD4fC4bC3YB3UB3PA2L\
A2G92C917813816E29K3CQ4FW5Ia5Lg6Om7Rs8Uy8cyBmyDzyF\
zyHzyJzyLzyOvyQrySmyUhyWcyYZy_Uy_PzZOwZPs_Qo`RkaRh\
bSdbT`cUXdUUeVQfWMfXIgXFhYBiZ7j_3keEqkPxjPwiPuhOtf\
OreNqdNobMnaMl`LkZLiYKhXKfWJeUJcTIbSI`QH_PHYOGXMGV\
LFUKFSIEQIFQIGRJHRJISKKSKLTLMULNULOVMQVMRWNSWNTXOV\
YOWYOXYNZYN_YN`ZMbZMcZMdZLfZLg_Lh_Kj_Kk_Kl_Jn`Jo`J\
p`Ir`Is`ItaHvaHwaHxaGzbMudTpf_kiefklansXpzSsMTHMTH\
NUHWUTWWVVYWV_XUaYUcZTe`TgaSibSkcSmdQj_OhWMfSKcO__\
gcYggVgkSgoPgwLjrNgnOdiPa }
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=========================================
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times.
