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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I would have rated today's image at an 8 if it had not been rendered with the inside set to 'fmod' and the outside set to 'tdis', thereby spoiling the purity of the image. As it is, the rating of a 7 is adequate for the day's effort. The parent fractal is the same one that has been the source of the four most recent FOTD images. In fact, this indescribable parent is so rich in its depths that I might devote the rest of the month to its exploration. To find today's image I ventured to an area that could possibly be the East Valley of the parent, if it has an East Valley, that is. I checked the shore line of a small out-of-place bay there. This shore line is dotted with very small semi-buds filled with broken fractal stuff. Today's image shows a minibrot I found in the stuff in one of the buds. I named the image "Inside-In". I must have had a reason for the name, but the reason has long since been forgotten. The calculation time of 13-3/4 minutes on the fast machine is rather slow. But I have sent the finished image on ahead to Paul at the FOTD web site, where it will likely be waiting for immediate viewing by the time you read this. The web site may be accessed at: The winds blew at 30mph (50kph), the snow showers flew, and the temperature hovered just above freezing here at Fractal Central on Monday. The fractal cats don't like wind, they don't like snow, and they don't like cold. It was lucky for them that the radiators were comfortably warm. For me the day was quite un-notable, and I have no reason to expect that tomorrow will be different. The next FOTD will appear right here in 24 hours. Until then, take care, and stay tuned for more exciting revelations. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Inside-In { ; time=0:13:44.76-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-1.429354931270962/-15.39071435264147/3\
276.279/1/-50/0 float=y maxiter=2000 periodicity=10
params=-2.475/-1.05/-0.275/-5.5/0/0/0/0 inside=fmod
proximity=1 outside=tdis
colors=0005t05t05r05r05p05p05m05m07k09g0Bc0DZ0FV0H\
R0IN0KI0NF0P90R70T50X30Z10c00e00i00k00p00r00w00y00\
z00z00y01t05r09m0Bk0Fg0Ie0Nc0PZ0TX0XT0aR0cN0gK0kH0\
pa0gw0Xz0Nz0Rp7VZPZKgc7zg0zm0zi0zc0mXzzezzpzzpwypi\
rpXkpNepBZp0Tp0Np0XpDipRtpezmazkVzgPzcIzZDzV7zT1zP\
0zK0zH0zD0z90yH0ZP0DZ00g00r00p00m00k00i00g00e00a01\
Z07X0BV0FT0KR0PP0VK0VP0TT0RX0Pc0Pg1Nk5Kp9Iw1Fk0BZ0\
5N03R00X70cF0iK0pT0wa0zi0zr0zk0zc0zV0zN5zHBz9Iz1Rz\
0Xz0ey0kw0tt0zr0tr0kt0ct0Vw0Nw0Fy07y00z00z00y00t00\
p00k00g00c00Z00V00R00N00I00F00B00700100300501707B0\
DD3KF5RH9ZK3cT0gc0kk0pw0tz0yz0zz0mz0Zz0KzB7zP0zc0z\
r0zp0zk0zi0ze0ta3pZBkVIeRRaPZXKgTHpNFyIBzF7z9t00VR\
05z00000000000z00e1KKIi1az0tz0rz0mz0iw0er0am0Xi0Te\
0Pa0KX0HZ0Kc1Pg7TiBZmHcrNgtTkyXrzcwzizzpzztzzzzzzz\
zzzzzzzzzzzzzwzzrtzmmzigzeZzaTzXNzTHzPBzK5zH0zB0ea\
05z05z05z05z05y05y05w05w0 }
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.
