|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: In yesterday's FOTD, which rated a 4, I mistakenly mentioned that the image rated an 8. So to atone for my error, I feel it is proper for me to present an image today that actually rates an 8. But to do so I must renege on my pledge to present no quadratic midgets in the month of July. Well, with only one midget, we'll call July a virtually midgetless month. I had been saving today's image for the FOTD of August 1, which will be the first day on which quadratic midgets will again be permitted. But due to the circumstances, I found it necessary to use it today. As I mentioned, today's image shows a very prominent midget. It is therefore illegal. I named the image "The Illegal Midget" accordingly. The parent fractal was created by the MandelbrotMix4 formula -10(Z^(-1.1))-0.1(Z^(-11))+(1/C), with a bailout radius of 900. The parameter file is relatively fast, but still slow enough to cause impatience if the machine is needed for other things. But relief will soon be available on the internet at Paul's web site at: With a temperature of 86F (30C), the fractal weather today was near perfect, the only exception coming in the early afternoon, when a dark cloud dropped a few large raindrops that chased the fractal cats indoors. Five minutes later the cloud passed on, the sun returned, and the cats once again went into the yard. It's now time to get busy. Until next time, take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
An_Illegal_Midget { ; time=0:14:15.16--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+5.011007493464664/-0.127916407872741/8\
75157.1/1/130 params=10/-1.1/0.1/-11/-2/800 float=y
maxiter=2400 inside=0 logmap=221 periodicity=10
colors=000AAiAAiAAgAAeAAcBAaCA_DAYEAWFAUGASHAQIBOJ\
CMKDKJCIJAFI9CI7AH67H44H32F88EDDDIJCNOASU9XZ8ad7fi\
4lq6kn8jlAijChhDgfFgcHfaJe_LdYMcWObUQbRSaPT`NV_LXZ\
JZYH`YEaXCcWAeV8gU6hU4iT6jS7kR9lQAmPBnODoNEpMFqLHr\
KIxMMsKJoJHjIFfHCaGA`D9YF8VH7SJ6PK6ML5JL4GL3DL3AK2\
7K14L16K58J89KCBLFDLJEMMGLQHLTJMWLM_MMbOMfPLiRKmTK\
pUJtWIwXIzWMuWPqVSlVVhVYcU`_UcVUgRTjMTmITpDSs9Sv4S\
y0Qt6OoCMjILeOJ`UHW_DQcGRdJRdLSdOSeQTeTTeVUeYUf_Vf\
bVfdWfgWgiXglXgnYgqYhsZhvZhxZhtXcqV_nTWkSShQOeOKbN\
G_LCXJ8ZI4cJ6hK8mLAqLCsMEuNGwOIwOKwNMsNNoNOkNPgMQc\
MR_MTVMUPLVMLWILXELYBKWBLZBO`BRbBTdBWfBZhBajBclBfn\
BipBkrFemI`iMVdPQ`RLXUFSWAOY5KW9MWCOXFPXIRXLTYOUXR\
WWUYWVZWXZVTUUQQTMLSJH_PCgV7pY2n_3m`3lb3kc3id3hf3g\
g3fh3ej3ck4bm4an4`o4_q4Yr4Xs4Wt4Xu4Yv4Zw5_x6`y6az7\
bz7cz8cz8cz9czAczAczBczBczCczCczDczEczEczFczOczRcz\
UczXcz_czbczeczcczgczjczm
}
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==================================
|
times.
