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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is a quick one, and it shows. The rating of a 5 shows that the image leaves much to be desired. The name "Pantominia Coregia" means nothing at all. I dreamed it up because it sounds kind of like something scientific. The chief advantage of the image is its fireball calculation time of under 15 seconds. It doesn't get much shorter than that. The formula divides Z2 by (Z^(3)+6) and produces a near-Mandelbrot set, with today's scene located in the northeastern suburbs of the large minibrot on the main spike. When this is done, we see a quintic minibrot surrounded by smaller similar minibrots. There is nothing artistically notable about the image, it is merely interesting to observe. And observe the image is what you'll do if you run the included parameter file or zip over to the FOTD web site at: Despite a thin layer of cirrus clouds that hung over Fractal Central all day Wednesday, the day, with its temperature of 81F 27C, was near perfect. At least the fractal cats must have thought so, for they spent half the afternoon on their shelf by the window, wishing they could go outside, where that tough manx tomcat is lurking and ready for a fight. Needless to say, the duo had no chance to go out and engage the usurper. My day was too busy to be called perfect. Maybe tomorrow will be better. The next FOTD will be posted in 24 hours. Until then, take care, and keep searching for a photon at rest. If you find one, you'll rewrite the physics books. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Pantominia_Coregia { ; time=0:00:14.72-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideJulibrot logmap=59 periodicity=10
center-mag=-10.48325696865905/+0.09877741090398924\
/3.971914e+010/1/-50/0 float=y maxiter=316 inside=0
params=0/0/0/0/0/0/0/0/5/6 mathtolerance=0.05/1
colors=000A7LA6MA5OA4PA3R52SADZFNeKXlPfszzzkjBkjBk\
jBeiCZeCQaDIYDATE3PEEWOPbY_igipqUfpFXo0Oo4Ve7aXBhO\
EnFzmKzmzzmzzlZKlcLlhPefTZeXSd`MbdFah8`l2_a3hR4qG5\
yH6qI6iI6bcXmxvxkrv_nt`go`ajaWeaQ`aKXdQRgVMj`HmeBp\
k6sp1ll6ehA_dET`IMXMGUQK_LNeHQkDTq9Wv5RoFMhOIaYzVf\
zOozSgzW_z_SzcLzgFzjAzm5zp0zo7zoEznLznSzmZzmeXzl6z\
0Uz2pz3hzFazRVzaTzZzzXzzUzzSzzPzzNzzMzzLzzKEzJBzI9\
zH6zG4zG5zL5zP5zT5zX5z`LzT_zLSzMLzNDzO6zODzMKzKRzI\
YzHMzLKz1Jz9JzGJzOIzVIzbIziIzpGzjEzdCzZDz`DzbDzdIz\
bMzaRz_VzZ_zYczWhzVlzUZzdWzfUzhRzjPzkMzmKzoIzpMziP\
zbSzWWzPZzIazBdz5SzXFzxTzwezwrzwSzh1zVCz_NzdYzihzn\
rzsgzVmzWrzXwzXwz_wzawzdwzfwziwzkwzmgzlTzkNzcHzWBz\
O5zGCzEIzDOzCUzB_zARzIIzPNzRRzTVzVZzXczZgz`kzbozcn\
zhnzlnzpnztnzxSzV5z1AzCFzNKzYPzgOzdNzbMz`LzZKzWJzU\
IzSIzQez`ezVezQezKezEez8ez3gz2iz2jz2lz2nz2oz2qz2rz\
2_z4Hz6Fz4Ez3Dz2mzGgzIazJ }
frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=sqr(z)/(z^(aa)+bb)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
