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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With lightning striking in the area almost all day Saturday, I kept the computers unplugged. This left little time for fractal exploration. Luckily, things settled down around midnight, and I barely managed to find a fractal. I did not actually search for today's image; I merely happened upon it in passing through in search of larger game. This is why I named the serendipitous image "In Passing". The parent fractal was created by combining 2 parts of Z^(-0.1) with 0.1 part of Z^3 and adding (1/C). The resulting fractal is shaped much like a figure eight. Today's scene is located in the eastern valley of the 'eight'. Actually, with its rating of 5, the image is better than it has any right to be. The totally random color palette works unexpectedly well in bringing out the twisted, tortured effect of the fractal elements. And to top things off, the render time is a satisfyingly short 5-1/2 minutes. Those with internet access, (and who is not in that group), may save a bit more time by going to the FOTD web site at: One rain-and-lightning storm after another moved through the Fractal Central area on Saturday. The explosive thunder kept the fractal cats well out of sight, hidden in the deepest recesses of the large closet. They did not emerge until just after midnight when the noise finally abated. Surprisingly, the fractal basement remained dry even though over 4 inches 10cm of rain fell during the day. It's too bad that the local electric companyette could not keep the electricity flowing. Today is starting extremely warm and humid, but so far it is dry. The cats are still skittish. We'll see how it goes. Unless something unexpected happens, the next FOTD will appear in 24 hours. Until then, take care, and keep your powder dry. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
In_Passing { ; time=0:05:29.88--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.31250229103769440/+0.060147269763216\
66/72508.8/1/-105/3.03052194450259549e-009
params=2/-0.1/0.1/3/0/0 float=y maxiter=1600
inside=0 periodicity=10
colors=000SGWJBL95AOW`NKJxvlUTOQN7nzqPVR4qu2_a1IJO\
kCI_9CO66C3sfP`SGIE8tDEhraMRJ0ys4dd3UU2KK1AAlqP_cI\
ORCCD6Z8PN5GB28Wk4O_3GO28C1MpPwWIhODUG9F84sWsY5VM3\
KB1AfswS`cEIKe_USOKECAErfAdW7RL3DAFhc7MK4Oj2CNG6WC\
4O83G418twhehXSUMEFBXxEGU7vinTNPZeKQVFHLA8A5FJc79K\
VeWP22G11800HIcCDU89K44A35CmzhXeUGLFmycPVKKHEA870w\
b0cQ0KDxKNcDFK67wfRF5T72EvvxsAd`6RI3D__JRREII9994`\
EWRAOI7G938FNYAFM57B60r30RcK_QDOD6CF7oMgCET87E4BCi\
89Y56N23BlcG_UCOK8CA4nyUwNocFYK7H9lk6__4OO2CCcAcU7\
UK5KA2A2fZ1LHTiaoPfQCLGQS8DEAeW6SL3EAPsTCSE9Fm6AX3\
5GRYNKPHDHB685HjZ8NHgYPMHCgmI7KN3ABe319xvuliTONlx1\
Juj9TNilNNOBY0LP0FH0A805jx1Vc0FK04bR3TK2JD1961rH0R\
81KQ0DH068f3PIS39E1YHmGL_HMXJOUKPRMYaOflQovwRDDQTR\
wrDURliU_YMONFCB78Xn`Lv4SnVwaFUJD7Y63HS6gI4T92EJk9\
iShUIUF9FWQeOJVGDL86A9Hu6Ba35J8sa5`P2ICG_18I0T9bE4\
JtowebhSQUEDFkLQWEHG78aMf }
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.
