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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal shows a little of what happens when a tiny bit of Z^(1.8) is subtracted from an equally tiny bit of Z^(2.2) and straight C is added. The resulting parent fractal is an over-bloated Mandelbrot set with a split personality in the form of two large but separate period-2 buds. Today's FOTD image is located in the mass of debris that lies between the two competing large buds. I named the image "X Marks the Spot". From a distance, it does look something like a letter 'X'. It is an unusual image in having such well-defined areas of order and chaos. The decision to rate the image at a 6 came almost without effort. The calculation time of 3-1/2 minutes is about average as fractals go. The calculation part may be avoided by visiting the FOTD web site at: Thursday started very cold, with a temperature of 18F -8C here at Fractal Central, but a strong afternoon sun raised the temperature to 37F 3C. The fractal cats were too busy looking for trouble and sleeping to notice the weather. They did take notice when the time for their evening treats arrived however. My day was pretty average. The next FOTD will appear in 24 hours. Until then, take care, and be frugal as you enjoy life. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
X_Marks_the_Spot { ; time=0:03:25.53--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-14.78154530335636000/+2.28218033747460\
900/7.163042e+011/0.9998/-32.49/0.01537295759815389
params=0.04/2.2/-0.04/1.8/0/1500 inside=0 logmap=59
maxiter=1200 periodicity=10 mathtolerance=0.05/1
float=y
colors=0009GK8CI79G9DIAHJBLLCQMDVOE_PFcRGfSHiUIlVJ\
oXKqYLrZMpWNmTOjQOgNPcKQ`HQXERUBSQ8UN5WO4YO4_O4aP4\
cP4eP4gQ4iQ4kQ3mR3oR3qR3sS3uS3wS3xS3yODzKNzGWzCez8\
oz4xz7vz9uzCszErzHpzJozMmzOlzRkzTizWhzYfz`ezbczebz\
gazi`zj_zkZzmYznXzoWzqVzrUzsTzuSzvRzwQzvXzuczujztq\
ztxzouzjszfqzaozXlzTjzOhzJfzFczAaz5_z1Yz3Xz4Xz5Xz6\
Xz7Xz8XzAWzBWzCWzDWzEWzFWzGWzKVzNUzQTzUTzXSz_RycRx\
fQwiPrmPmpOhsNcvNZsOUqPRnQOlRSjRWgS_eTcbUg`VkZVj_T\
i`RhaQhaOgbMfcLedJedHdeGcfEbgCbgBah9`i7`i6_g8ZfAYd\
CXcEWaGV`IUZKTYMSWORVQQTSPSUOQWNPYMN_MM`LNaLObLOcL\
PdLPeLQfLQgLRhLRiLSjLSkLTlLTmPUiSVeWWaZXYaYUeZQh_M\
k`Ji_JhZIfXIdWIcVHaTH`SGZRGYPFWOFVNETLESKDQJDOHDHH\
9NGCLFCKDBICBHBAF9AE89C79wDnuClsCjqCioBgmBekBdiBbg\
AafA_dAYbAX`9VZ9UX9SV8QT8PR8NQ8LO7KM7IK7HI7FG6DE6C\
C6Ajp4hn5gl5ej5dh5bf6ad6_b6Z`6XZ6WX7UV7TT7RR7QP7ON\
8NL8LJ8KH8IF8HD9ERQCOOBKM }
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 PARAMETER FILE=========================================
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times.
