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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's quickie fractal image is a nice one, depicting a scene with a hectic yet strangely peaceful atmosphere. The word 'nice' is an all-purpose word of mild praise, used when something pleases in a broad sort of way. The word fits today's image nearly perfectly, since the image pleases me in an overall way, with no specific details that deserve special comment. The formula behind the image is once again Z^sqrt(2)+C, a formula that draws fractals with nearly as many surprises as the Mandelbrot set itself. Today's midget is located in a curled-up and cut-off fragment of filament lying some distance from the main body of the parent fractal. I named the picture "Dreaming" when I noticed that it seems to be illuminated by the same greyish-blue light that illuminates dream objects. With a run time of 1-1/2 minutes, rendering the image from the parameter file is the best way of viewing the scene of the day. Since the picture is nice, I rated it a 7, a nice rating for a nice fractal. As always, the GIF image file will soon be available on the web at the following two URL's: I will again begin posting the FOTD to ABPF when the new improved Fractal Central office is up and running. The fractal weather today was very unpleasant, with rain, drizzle, fog, and a temperature of 43F (6C) combining to keep the fractal cats sulking indoors the entire day. Such unpleasant conditions call for a junky TV movie, so without further hesitation I'll shut down the fractal shoppe and call it a night. Until next time, take care, and when the fog closes in, clear the air with a fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Dreaming { ; time=0:01:39.42 -- SF5 on a p200
reset=2001 type=formula formulafile=branchct.frm
formulaname=MandelbrotBC passes=1
center-mag=+0.56328786228482250/-1.52723830718759500\
/10108.71/1/122.5 params=1.414213562373/0/-1.5/0
float=y maxiter=1200 inside=0 logmap=41 periodicity=10
colors=00096P07A07C0DJ0FO0IS0LX0M_0Pd0Si0Tr0Xv0Yzuuz\
mgzf`v_VsSOoMGlFAg73d00`00Y00`40a91cD4fI7gOCiSFjXIm<\
2>iSr`Xi<3>7mA0r10u01l0Ac0JV0SO0`F0i60r00p03<3>o1To1\
_m3f<2>l4yl4zl4zj9z<3>iQziVzg_z<2>flzfpzfszarzYrzTrz\
PpyLpvIpsGlrGgpGcoG`mGXlGSjGOiGLiFGgFCfF7dF4cF0a<2>F\
0_J0VO0QQ0MV0IY0Da09d14i30<2>s70gF0YL9OQJDXS<3>CaGCc\
DCdACf7Cg4Ci1Cj0Cj0Fg0Gd1Ia3L_4MX6OT9QQASOCTLDXIFYFI\
<2>c6Md4OgIIiVDjg7lu3gv4cx6_x6Xy7Sz7Oz9Lz9GzACzC9zC4\
zD0zD0zF0zF0zG0zG0zI<3>vzIzzIxzPlzX`zcPziLzlIzoFzpCz\
s7zv4zx1zz0zz0zz3zyAzsIzmPziPziPzjPzlPzmPzmPzoPzpPzp\
czPrz0mz01z6jz0<2>az1dz1gz1jz3<3>vz4yz4zz4zz6zz6zz6z\
zzzzz<12>zzPzzMzzJ<3>zz7zzzzzy<8>zz_zzXzzT<3>zzIzzFz\
zCzz9zz0<3>zz0zzzzzzzzi
}
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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