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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I found today's image in 3 minutes, which I think is a new short-time record. It calculates in 1-1/3 minutes, which is quite fast though not a record. The formula behind the image subtracts 1/2 part of Z^(-1.1) from 1/2 part of Z2 and adds C. Today's scene lies very near the tip of a filament. The magnitude of 1*1013 is actually a bit beyond the point of breakdown, but the slight bit of jaggedness is hardly noticeable. The magnitude does make the mathtolerance entry necessary however. The rating of a 1 shows what I think of the image. The name "The Dreg of Fractals" echoes the opinion. Even with its calculation time of 78 seconds, the image is most conveniently viewed on the FOTD web site at: With a high temperature of 97F 36C, the weather was far too hot for comfort here at Fractal Central on Saturday. It was so hot that FL and I decided to take a day off in the surrounding woodlands. The day in the woods was cool and enjoyable, but left no time for fractals. While we were out, the fractal cats spent the day stretched in the coolest spot they could find. The next FOTD is due in 24 hours, and as far as I know, it will appear on schedule. Until then, take care, and keep your cool. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
TheDregOfFractals { ; time=0:01:18.71-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
params=0.5/2/-0.5/-1.1/0/0/0/0 mathtolerance=0.05/1
center-mag=+0.1848571131062667/+1.389112151819734/\
1.00707e+013/1/5/0 float=y inside=0 periodicity=10
maxiter=1500 outside=tdis
colors=000qFhjFidFiYFjRGkLGkEGl7Gm1Gm2Jj3Lh4Ne5Qc6\
S`7UZ8XW9ZU9`SEcRJeQNhPSjOXmN`oMerLitLdpN`lPXiRTeS\
PaULZWHVYDSZDUVDVRDWNDYJDZFD_BD`8Gb9Jd9Mf9Ph9Rj9Of\
AMbBKZCIVDFREDNFBJG9FH7CHBFLFHOJJRNLUQNXUP`YRcaTfe\
VihXlfZke_jdajccibdh`fg_gfZieYjdWlcVmbUoaTp`Sr_QsZ\
PuYOvXNxWMyWVxZcx`lwcuweod`tvdtudtudttdssdsscsrcsq\
csqcrpcrocrobrnbrmbqmbqlbqkbqkaqjapiapiaphapgapg`o\
f`oe`oe`od`EUrGVqIVpJWoLWoMXnOXmQYlRYlTZkUZjW_iX_i\
Z_h``ga`fcafdaefbdhbcicckcbldand`1DmCJjMPgWUee_bjC\
5kE7kF8kG9kHBlJCD_mCdkBiiBnhDhjEckFZlHUmIOoJJpLEqM\
9rN4sO9oPDlPHiQMfQQcRU`RYY_f_go`owamc`kK_j0_h6WfBS\
dHPbML`SHZXEXbAVg6Tl3Wj6Yh8`fAbdDecFgaHj_KlYMoWOqV\
QoUTnUVlTXkTZiTahScfSeeSgcRibRl`Rn_QpYQrXQtWRrWSpV\
SnVTmVUkUUiUVgUVfTWhTWiSWjSWkRXlRXmQXnQXoQYpPYqPYr\
OYsOZtNZuNZvNZwO`uPatQbrRcqSdpTenUfmVhlWijXjiYkhZl\
f_me`ndQUmG9vKBpOCjxEhxEg }
frm:MandAutoCritInZ {; 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)+(p4)),
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.
