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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's C-FOTD is being posted the next morning due to a power failure. The discussion is short because I lost it when the power went off. The image itself, which I named "Glowing" and which rates a 6, survived. The iterated formula behind the image is quite a strange one -- 0.0005*Z^(1234)+0.05*Z^(-12.34)+(1/C). I chose the parameters by shutting off my mind (an easy task) and putting my fingers on 'random'. The result speaks for itself. The parameter file runs rather slowly, requiring 14 minutes on an outdated Pentium 200mhz. But a faster way of viewing the image is available. The pre-rendered image file is posted to the Usenet binary newsgroup: The fractal weather today (now yesterday) was most active. The day started with heavy thunder-storms, which gave way to warm midday sunshine and a summer-like temperature of 62F (17C). The fractal cats took advantage of the pleasant conditions by spending several hours outdoors. But later in the afternoon the clouds returned, with high winds near 60mph (90kph), more rain and rapidly falling temperatures, which changed the rain to snow before it ended. I assume the high winds caused the power outage. And now I've got a day's work to finish. Until next time, which will arrive in only 12 hours or so, take care, and don't be left in the dark about fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Glowing { ; time=0:13:58.88 -- SF5 on a P200
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.135217862681659/+0.00308863354269522/3\
.369515e+008/1/-70 params=1/1234/100/-12.34/-0.9995/0
float=y maxiter=1800 inside=0 logmap=274 periodicity=9
colors=000KJP<8>KJP<3>KJPKJOMJQOJSQIUSIRUITWAVYCX_CZ\
aC_<2>gCWiCYkG_mK`oPcsUdvYfwbgyihznjzukzzqzymzuhzqfz\
mayk_yhWweTvbOt_KsYIsVE<2>nN5mL1kK0mI0<3>sIJtIOvIUwI\
YyIc<3>zIzzIzzIzzKz<3>zKzzKzzKzzKzzKzzKyzKwzKwzIszHn\
zHjwGftEaqEYpDW<3>dCFaCB_C8YC5XC0XC0<2>TD0RH0QL0QP0O\
T0NW0Ma0Ke1Ki1<2>Hv5Fv6Fv6HvEHrMHkUHeaEWkH_hJdfKgcNk\
`OoYRrWTvUWvRXvO_vM`vJcvHdvFcvEcvEavE<3>_vD_sD_oDYlD\
YiB<3>WZBWWB_V`aVz`Yt<3>WhaUkYTmTTpORsKQvFOvBNv8Mv2K\
v0Kv0Ev08v11s50m80hA0l80o60r50t20v10v00c00c00c00c01c\
02c00c0mz0mz0mz0mz4mz8mzAmzEmzIWtM_rQaoTflXhi`mgdpdh\
sakzQMzPRyPXtN`nNfjMjfMpaMtjWYseDzo0pd6fUKWK_MCmKNaJ\
_RIoHHv6Gv0Iv0<3>QvASvDUvEWvFYvF_vH<5>kvKmvKovMqvMsv\
NuvNwvMyvK<4>zvIzvHzvF<4>zvDzvjzvm
}
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.
