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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image has evaporated. No, it has not turned to vapor, it has turned to total 'outside' fractal stuff. All its points became trapped when I raised the bailout radius to one googol. But such trapped points do not simply idly lie there doing nothing. They are quite busy in their invisible world, and need only an active inside fill such as the 'bof61' of today's image to reveal their activity. The un-evaporated parent fractal was created by combining Z^(-0.9) with 0.1 part of Z^(-9.9) before adding (1/C). This parent resembles an oversized string of diamond-shaped bays. Today's scene is located near the point where several bays come together. In my impatience to get to the TV, I did not bother to give the image a name or rating, but it is not a bad fractal, well worth the 7 minutes required to calculate it. An even easier way to see the image is to visit the FOTD web site at: Sunday was downright cold here at Fractal Central, and Monday is due to be even colder. Luckily the fractal cats do not worry about outside weather. Their big worry is what kind of trouble to get into next. My day was busy, but not out of control. The next FOTD will appear, if all goes well, in 24 hours. Until then, take care, and be at peace with your iterations. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Feb_05_07 { ; time=0:07:01.97--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+58.36960450240318000/+3.13359982236517\
000/4131874 params=1/-0.9/0.1/-9.9/0/1e+100 float=y
maxiter=1600 inside=bof61 logmap=113 periodicity=10
colors=000cHZfQMiZ9OUE2QJ8KLEFNMDRTBV`AZg8bn7eoGdo\
PdpXcpecqnbqvbnu_ktXhsUerRbrPgkXldcqYjvRqzLxmNn`Pe\
ORWBTNJXLIWOHWRGWUFWXEWZCYfA_mLTnWMneFntgTndQhbOb`\
MXZKSXIPRJNLKLGLoUUi_SddQZiPUnNPsMRqPSpRUoTVnVXmXN\
SdQhXOeZNb_L_`KXaPQZUKWZETc8Qh2Nk7JnBGpGDsKAuO7mTG\
fXP_`XSeeLinEmvDhuDcuDZtCUtCPsCLsHJtLItPHuTGuXEv`D\
vdCwhBwUJuFQs0XrnvMlsRkpVjn_ikcghhfflecqdauLOqaMbq\
KOoJSmIVlHYjGaiFdgEgfEjeLOeS1`ZDXeOTl_PrjSmlUinXdp\
Z`rdXaiULnR5mQAlPFkOKjNOlNRmNUoNXpN_SUcgbkwkseRiO6\
_K6dH6iE6nB6s86wHBjQGY6qUAi`EagIUnPWhWYbb_Y_WUYSRV\
POTLLRIIYOKcTMjYOpbPwINvLNvNNvPNvRNvTNvVNvXNpebjnq\
hYpgIof2ob5k_8hXBeTEaQHZNKWKNTGLRCJP9HNuiYgZXVOW1U\
79WCHYGP_KW`OcbSkdWsf_zgciD1cS6YfBTtGYnLbiPfdUkZYo\
UbtPfxKj9476JNUbLV`IW_GXYEYXBZV9_U7_T5VS8RRAMQDIPF\
EOHsUMlPPnLRcKNNAJSIGAHC0G90RC0`EE_bRZzWWw`Pkdjrif\
omhmkbjiXhgSefMcbLlaEk`8k }
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.
