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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image has been named "Run for Cover". Given the world situation, such a name would appear to have a deep psychological significance. And perhaps it does. The name came to me when I put my mind into idle. (An easy task.) It came of its own accord, like an image in an inkblot. The image's slightly sinister aura would seem to reinforce the psychological origin of the name. The formula behind the image subtracts some 1/Z from some Z, and creates a curiously distorted Mandeloid that is extremely sensitive to the value of the real(p3) parameter, being ready to expand to infinity or shrink to nothing at the slightest change of that parameter. Despite its ominous overtones, today's image rates a 7. It's also a fast image, taking only 2 minutes on a worn-out old Pentium 200mhz machine. The GIF image can also be seen by downloading it from: The fractal weather today (Monday the 1st) was cloudy and cool, not the best conditions to make fractal cats happy, but the cats found what happiness they could, sleeping on the porch in the warmth of the little bit of sunlight filtering through the clouds. The temperature of 66F 19C was somewhat below average. There's so much activity on the Philofractal list that I must take a day or two to digest it before offering more philosophy. And I must also keep the discussion from wandering totally away from the topic of fractals. Look for more wisdom, possibly as soon as the next FOTD. For now, I've got a day's work to finish and a couple annoying cats to feed. Until next time, take care, and a diet of fractals can really make those pounds and inches disappear. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Run_for_Cover { ; time=0:02:26.32--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.02829866980610058/-0.064453758425730\
76/1.908413e+007/1/177.499999994679371/5.664339275\
4018862e-009 params=-1/-1/1/1/-2.1/800 float=y
maxiter=1200 inside=0 outside=summ
colors=000oZctXayV_uTXrSUnRRkQOgOLdNI`MFYLCUJ9RI6N\
H3KG1NF6QEATDEWCIZBMaAQd9Vg8Zj7bm6fp5js4nu4rr5qo5q\
l5pi6pf6oc6o`6nY7nV7mS7mQ7mRJXRVHRe1Q_4QV6QQ9QLBQG\
DQBGQ6IQ1KP4MP6OP8QPASPCUPEWPGYPI_OLaONcOPeORgOTiO\
VkOXmOZnPXiQWeRUaRTYSRUTQQUNLPLHLIDHG9DD58B1BE5JI8\
QNBYSEeXHlaKofNrkQupTxtWzxZxtYvqYsmYqjYnfYlcYj_YhX\
YfTYdQYbMY`JYbMWdOVeQUgTThVSjXRk_QmaPncOpfNqhMsjLt\
mKvoJwqIvpLuoNunPtmRsmTslVrkXqjZqi`pibohdogfnfhmej\
mellaklYjkUikQhjMhjIgiEfiAei7egAafDZeGWdJTbMPaPM`R\
J_UGYXCX_9Wb6Ve3Ug0Wf1Xf2Ze3_e4ad5bd6cd7ec8fc9hbAi\
bBkaClaDmaDsdCyfBteEpeHkdKgdMbcPZcSUbVQbXLa_HabDad\
HcaLdZPeWTgTXhQ`iNdkKhlHkmFB4PHAQNGQTLQZRQcWQeVKhV\
DjU7lU1ciAWxJYsH_nGaiFcdDe_CgVBiQAkL8mG7oB6q75tCMw\
HbvIevIgvIivIkvImvIovIqZJ8YOAXTBWXCVaDUeETjFSnGRsH\
RwILhDFV9JZ9Na9Qd9Uh9Yk9`n9dr9hu9kx9luDlsHmqLmoOnm\
SnkWoiZofbpdfpbj_didbgi`e
}
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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times.
