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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I had intended on a much longer discussion for today, but there was simply too much stuff that had fallen behind during the rush of the past two months, and needed to be put straight. But fear not fractal fans, lazy days with lots of fractal talk are very near. To produce the parent of today's fractal I combined 100 parts of an unlikely Z^(-0.01) with 0.1 part of Z2 and added C. The resulting fractal is shaped somewhat like a boomerang with a Mandelbrot set at its southern end. Today's image is located in a spiral inside a hole near the large period-2 bud of this M-set. After some consideration I decided to rate today's image at a 6, though I gave it no special name. The render time of over 26 minutes is admittedly slow, but the wait may be avoided by viewing the image on the FOTD web site at: A surprisingly warm day graced Fractal Central on Monday, when the temperature reached an unexpected high of 79F 26C, with ample sunshine. The fractal cats took full advantage of the conditions by spending most of the afternoon stretched on their sunniest window shelf. My day was occupied with catching up on things I let fall behind while tied up with the load of work. The next FOTD will appear in 24 hours. Until then, take care and don't lose track of the lost fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Apr_03_07 { ; time=0:26:21.75--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident inside=0
center-mag=-101.171917500498/-8.165493815612592/\
1.064e+007/1/-80/-0.000143863120004056322 float=y
params=100/-0.01/0.1/2/0/525 maxiter=3000 logmap=583
periodicity=10
colors=000XpOWoQVnSUmUTlWSkYRj_Qi`Ph_OgYNfWMeULdSK\
cQJbOBXOO_I`aDmd8yg3xlIxqWxvixzwxutxoqxinxckxYhxSe\
xMcLn9YjKjfUvccf_fRWiCSl9b_7lO5vC8oEBhGEaHHVJKOLNH\
Mc`Dss4gb7WMAL5CKKNJZYJmhPjfUheZfdcdciaan_`sY_xWZl\
Tc`RhPPlQOmRNnRNoSMlTLiTLfUKdUJaVJZVIXWHUWHRXGOXFM\
YFJYEGZDEZDB_C8_C6`F8`H9`JB`MC`OE`QF`TH`VI`XK`_L`e\
P`aN`cOIUyKVvLWsNXpOYmQZjR_gT`eUabWb_XcXZdU_eRc2ib\
4gb6fb8ebAdbCcbEbaGaaI`aK_aMZaOYaQXaSW`UV`WU`YT`_S\
`aR`cQfD4eF6eH7dJ9dLAdNBcPDcREbTGbVHbXIaZKa`L`bN`d\
O7XwDZpJ`iPbbVdWUXsVYqVYpVZnWZmW_kW_jX_hX`gX`eYad_\
abbbaeb_hbZkcXndWqfUtgTwiRzjQG_EH_FI`GJaGKbHLcHMdI\
NeIOeJPeJQeKReKSeLTeLUeMVeMWeNXeNYeOZeO_ePsnbrmaqm\
`pl`ol_ol_nkZmkYlkYkjXkjXjiWiiWhiVghUghUfhTegTdgSc\
fRcfRbfQaeQ`ePqUrmUljVffW`cXVrYupZso_qn`omamlbkkci\
jdgieehgcgiafk_enYdqWctUbwSazQHzrJzoLzlNziPzfRzcTz\
`VzYXzVZzSozimzflzdjzbiz` }
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.
