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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Things are getting even tenser here in the F.C. area, with another sniper shooting, the 11th, not too far (50 miles, 80km) away. At times like this, I could ramble on about the human condition, but I'll ramble on about fractals instead. Today's fractal is named "Holy Fractal". This is not because it is in some way connected with a religion, but rather because it is filled with holes. There are thousands of visible holes in the image, and an infinity of invisible holes. And when infinity is mentioned, thoughts of a Deity often arise, so perhaps the title is not as unlikely as first assumed. The scene is located in the East Valley area of a larger midget that exists in the edge chaos of an island that lies in the fractal created when some Z^(-0.008) is combined with Z^(-11) and (1/C) is added. The parent fractal, which is an exaggeration of yesterday's parent, is little more than an immense empty circle with a tiny bit of debris on the western shore. The most surprising thing about it is that, with an exponent of -0.008, it exists at all, but then lots can happen in 10,000 iterations. I have rated the image at an impressive 8. It might not actually be as good as the rating implies, but I like something about it, so the rating of 8 will remain. The 48-minute render time on my Pentium-I 200mhz machine can be reduced to 10 minutes or so on the fastest units. An even faster way of viewing the scene is to download the completed GIF file from: The fractal weather Monday here at the Fractal Emporium spoke of autumn. Crystal blue skies, dry grass, a temperature of 57F 14C and a moderate north breeze combined to give the dynamic duo a near-perfect day in the yard. When they thanked me for their happiness, I gratefully accepted their thanks. I'll be thankful once again when the day's work is finished. Until next time, which will arrive in 24 hours, take care, and where today are all the FOTD fractals that I will find in the days to come? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Holy_Fractal { ; time=0:48:32.16--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.950590514552694/+1.384839189914253/1\
.359944e+010/1/-20/0.0001570519779073229 params=5/\
-0.008/1/-11/-0.8813/1500 float=y maxiter=10000
inside=0 logmap=-700 periodicity=10
colors=000rsXooSulVylYxiXxfVxdVvbTv`SvYSuXQuUPuSPs\
POuOMvLMvJLxGJyFJvFIuFIpFIjFGfFGaFGXFFSFFOFFLFFPFI\
SFJYcQa_XfVclRipLpuUvzgzzvzzzzvzpTzsFzu0sv0ix0_y0P\
z0Fz0Fz0Gx0Ur0gl0kf0l`0Xl0Fv1Fu3Fu4Fu6Gu7Js9Ls9OsA\
PsCSrDUrFXrGYrg_rrIguF0pF3mF9iFGfFMcJS_M_XPdTSjdMf\
oGazFYzFVzFYzF_zF`zFazFcyFdvFfuFgsFipFjoFlmFmjFoiF\
pgFrfFsoIyvJzzMzzOzzMzzLzzJzzIzzGzyFzxFxvFvsFsrFpo\
FomFllFiiFggFdfFciFYjFSlFMmFGoGApJ4rM0sO0uM0vL3xJ7\
xICyGIvFMsMQpUVm`9jg0go0gu0jp0on7riDufLybQz_YzVczS\
jzOpzLvzRxzXxzbyzfyzlyzrzzvzzzzzzzzzzzzxzzszzoxzju\
yfrxamvYjyVgzQczM`zIYzDTz9Qz4Oz1Sz6Vz9YzC`zFczIizT\
mzcrzovzyzzzzzzzzzzzzzzzzzzfzzOzz4zz0zz0zz3zuAzoJz\
iSzc_zYgzSozMjzPfzSazV_zYVz`QzcOzfJziFzlAzo7zr3zu0\
zx0zz0zv0zr1zm4zi6zf7zaAzYCzTDzPFzMJzSMzYPzcSziVzo\
YzslzjyzazzTuz_dzdPzj9zodzYzzIzzJszLjzLazMVzMMzODz\
P4zP0zQ0zQ0zO1zL9zI`zJdzM }
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 20.0 PAR-FORMULA FILE==================================
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