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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's image "The Low One Dances" for both mathematical and poetic reasons. To begin, the exponent of Z in today's formula is 1.067, certainly on the low side, and hardly an exponent expected to produce an interesting fractal. And the torpedo-shaped minibrot in today's image certainly has every reason to be dancing in triumph. The parent fractal is shaped somewhat like a letter 'A' lying on its right side, with today's tiny minibrot located near the egde of a debris field, some distance southwest of the main open area. The rating of a 7 indicates a typical FOTD of average quality. Due to the very large maxiter of 150,000, the calculation time is a rather slow 16 minutes, leaving it to the individual fractalist to decide whether to run the included parameter file or go to the FOTD web site at: Typical late-summer weather prevailed here at Fractal Central on Thursday. The thin clouds and temperature of 72F 22C were typical of this time of year. The fractal cats were more concerned with squirrels gathering nuts in the yard than the central Pennsylvania weather. In my department things progressed smoothly. FL's flowers have pretty much recovered from the beating they took in the storm on Tuesday morning. If all goes well, and I see no reason why it should not, the next FOTD will be posted in 24 hours, give or take a few. Until that enlightening moment arrives, take care, and the answers to all questions are written in the fractals. All we need is someone to decipher the fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Low_One_Dances { ; time=0:16:34.92-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=424
center-mag=-7.525986636550791/-3.471416076886081/4\
.64746e+010/1/52.5/0 passes=t mathtolerance=0.05/1
params=1.067/0/0/1500 inside=255 maxiter=150000
float=y periodicity=10
colors=000PPEQQFSRFTRGVSGWSHYTHZUI`UIaVJcVJdWKeXKf\
XLgYLhZLiYNjXPkWRlWSmVUnUWnUXoTZpS`qRbrRcsQetPgtPh\
rLlqHopDroAujBmeBf`B_WBTRBMMBFIB8ME9QHAUKBYNCaQDeT\
EiWFmZGqaHudIxgJteIpcIlaIi`IeZIaXHYWHVUHRSHNRHJPGG\
NGCMG9ZH8KG4IGtIBhHCYHDNHECHFGRzFQyFQwFQvEQuEPtEPs\
DPrDPqDPpCOoCOnCOmBOlBNkBNjANiANhANg9Nf9Oe9Pd8Qc8R\
b8Qa7Q`7Q_7QZ6PY6OX6OW5NV5NU5MT4LS4LR4LQ3KP3JO3JN2\
JM2JL2HK1HJ1HI1HHnvrgpmakhWfcQaZJWUDRP7MKBB8AC9AC9\
AChUC99Ch9DhUDAUDh8DhUDhUDBUEB7EB7EZ6EZ6EZ6EZUFD5F\
Z5FZUFD4FE4FZ4GE3GZUGE3GZ3GF2GZ2HF2HG1HG1HH1HHmmJm\
nKmoKmpKmqKmrKmsPmtUmuZmvcmwhmxmmymmzmmzmczmUzmUzm\
czmczmczmczmczmczmhzmmzmmzmrzrvzvzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzcmw }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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times.
