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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The day was another busy one here at F.C., leaving little time for fractal investigation, but with the MandelbrotMix4 formula, a little time is all that is needed to create a passable (3 or above) image. The rush is still on this morning, so today's discussion will again be short. When I saw the fuzziness in today's fractal, I named it "Fuzzy Logic". Fuzzy logic is a loose type of computer programming that enables computers to more closely imitate human-style thinking, though I doubt that it enables the machines to be self-aware that they are thinking more like humans. While trying to decide whether my FOTD machine is aware that it is calculating fractals, I decided that the image in question deserves a perfectly average rating of 5. This rating is high enough to make the 2 minutes or so required to render the image from the parameter file worth the effort. The pre-rendered GIF image will soon be available on the internet at: The fractal weather today was very hot, hazy and humid. With a temperature of 97F 36C to contend with, the fractal cats thought it best to remain in the relative coolness of the indoors. I've got to run now, but I'll return in 24 hours or so with another FOTD. Until then, take care, and though it's all right for computers to 'think' in a fuzzy manner, such thinking is not so desirable in humans. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fuzzy_Logic { ; time=0:02:16.55--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.64836359885020600/+1.546402454929795\
00/3685.29/1/-27.499 params=8/-1.23/0.8/-12.3/0/800
float=y maxiter=300 inside=0 logmap=34
colors=00000Y00Y00U20Q20P30K30G40C40A5065036006007\
00700B00FQ0HS0LV0NY0R_0Ub0Yf0_h0ck0fn0jp0ls2pv3sx3\
rs4ro5rk6rg6pc7p_8pV8pRAoNBoKBoGCoCDo8Dg8I_8MS8QL8\
UF8YK6UO5RU3OY2Mb0Kg0Gk0Dp0Bv08z06l8WaOvdRpgUkkWfn\
Zap_YlZYjYYgYYdWYaWYZVYWVYUUYQSYNSYLRYIRYFQYCQYAOY\
7OYBO_DOaHObKOdMOfQOgSOjVOkZOlaOodOpgOrjOtnOvpOwsO\
xdNzSNzGNz4Nz0Nz0Rz2Uv6WpAZkFafKcaNfWSjQYlLboGfrBk\
t6pw2tz0vs0wn0xh0zc0zZ0zU0zO0zK0zF0zA0zC0zF0wH0tK0\
rM0oO0lR0kS0hV0fY0c_2ab2Zd2Wg2Vh2Rf3Nd3Kb4Ha4Dc5Af\
56h64k62n40p20s00v00x00z00z00z00z22z55zA8zDCzHGzMK\
zQNzUQzYOzQOzHNzANz2Nz0Kz3GzADzHAzO6zY4zd0zl0zt0zl\
0zd0zY0zQ0zI0zB0z40z00z02z26z4Az6Fz8KzAOzCSzFYzHbz\
KfzLfzgfzzkzwozpszjwzczzZwz_tzarzbnzckzchzdfzfbzg_\
zhYzhVzjRzkOzlMznKznMzhOzcRzZUzVVzQYzL_zHbzCdz7fz4\
gz5hz6jz6kz7lz8nz8ozApzAozBnzClzDkzFjzGhzHhzIgzKfz\
LdzM0zR0zY0zc0zb0za0z_0zZ
}
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==================================
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