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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's been another very busy day here at Fractal Central, but not so busy that I needed to forego my daily fractal search. It was however too busy for the enlightening philosophy that you've all been waiting for. But there's a long future ahead, and the philosophy will come at the proper time. (I don't want to solve the riddle of the universe too soon -- that would take all the fun out of it.) Today's fractal is named "Squirt". I gave it this name because the image pictures another midget in the Z^(sqrt2)+C Mandeloid, and the Fractint abbreviation for 'square root' is 'sqrt', and if the letters u and i are added to the middle of 'sqrt', the word becomes 'squirt'. Another reason is that I often pronounce 'square root' as 'squirt'. The image, which vaguely resembles an octopus or starfish, is a bit above average, just enough to deserve the rating of 6 that I gave it. These 'squirt' midgets are becoming more interesting as I develop the knack of finding them. And the Z^(sqrt2)+C figure, unlike the familiar Z^2+C figure, is infinite in its surface extent. The attached parameter file takes 29 minutes to render on an aging Pentium running at 200mhz. Newer and faster machines will render the image in far less time. Older, slower ones will take far longer. Regardless, the GIF file of the image will soon be posted to: The fractal weather today was partly cloudy with an afternoon temperature of 66F (19C). These conditions must have suited the dynamic duo of cats perfectly, since they spent the entire afternoon basking in the on-again off-again sunshine. As for me, I spent the afternoon trying to work my way through the backlog, having only minor success. Well, I see it's now time to shut down the fractal place and call it a night. Until next time, when I'll return with more goodies, take care and be ever vigilant for that once-in-a-lifetime fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Squirt { ; time=0:29:41.84--SF5 on a P200
reset=2001 type=formula formulafile=branchct.frm
formulaname=MandelbrotBC passes=1
center-mag=-0.91532246418772030/+0.387841135413711\
50/2.102521e+012/1/90 params=1.414213562373/0/120/0
float=y maxiter=2800 inside=0 logmap=890
mathtolerance=/1 periodicity=10
colors=000IgmEzwEzwEzwGzxGzxGzxGzzGzzHzzHzzHzzHzzJ\
zzJzzJzzJzzKzzJzzJxzJwzJtxJrwJouJlrJkqJhoJfnJckJbi\
J_hJXeJVcHSbHQ`HNYHKXHJVHGSBEQ8BPBAN77K24J02HH0EH0\
DH0BH0AJ0BK0BM2DN5DP7EQAESDETGGVHGXKHYNH_QH`TJbVJc\
YKe`KfcKheMihMkkNlnNloNlnNlnMklMkkMkkKiiKiiJihJihH\
hfHheHheGfcGfcEfbEfbEe`Ge`Hc_Jc_KcYMbYNbXPbXQ`XS`V\
T`VV_TX_TY_S_YS`YS`YQbXQcXPeXPfVNhVNiVMkTMlTMnTKoS\
KqSJrSJtQHuQHwQHwPKuPMuPPuNQtNTtNVtNYrM_rMbrMcqMfq\
KhqKkoKloJooJqnJtnJunHxlHzlHzlHzlJznJznKxoKwoMtqMr\
qNqrNorNlrPktPitQhuQeuScwSbwT`xTYxTXxVVzVTzXQzXPzY\
NzYMz_MzYKzXKzXJzVJzVHzTHzTGxSGxQExQExPDzUDzZPzcUz\
UPzUEzK8zJ8xJ7tH7qH5lG5iG4eE4bD2_D2YB1YB1XA0_A0`80\
c50i80iB0fE0cH1`K1YM2XP4TS4QV5NY5K`7Hc4Hb7G`AG_BEY\
EEYHDXJDVMDTPBSQBSTAQVAPY8N`8Mb8Me7Kh7Ji5Hl5Hn5Go4\
Eq4Dr4Br4At48u47u45w44x42z42z21z20z20z20z20z20z20z\
20z20z20z10z20z40z40z50z7
}
frm:MandelbrotBC = { ; Z = Z^E + C
e=p1
p=real(p2)+PI
q=2*PI*trunc(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < 100
}
END 20.0 PAR-FORMULA FILE==================================
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times.
