Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The run of exceptional fractals had to eventually come to an end. Due to another busy day, today's image is not only late, but it rates only a slightly below average 4. The scene is one of a midget in the Z^1.741101127 Mandeloid, lying 11 rotations up (or is it down?) the logarithmic spiral. The exponent is not random however. I intentionally chose the 5th root of 16, just to see what would happen. What happened is today's area of interesting chaos, featuring a large but harmless chrysanthemum, which is infested by a spiral and surrounded by countless smaller mums. I doubt that the image is worth the 25 minutes it takes to draw it from the attached parameter file. A trip to: The fractal weather today was uneventful, with lots of sun and a temperature of 81F (27C). The cats enjoy uneventful weather, so they were happy. It's now already 10:20am of Saturday morning, and I've got chores to do around Fractal Central. Until next time, take care, and what is the meaning of fractals? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Chrysanthemums { ; time=0:25:47.03--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.010176721962093/-0.348637919700844/2\
682929/1/57.499 params=1.741101127/0/11/0 float=y
maxiter=10000 inside=0 logmap=-686 periodicity=10
colors=000FA0HD0IE0IF0JI0KJ0MK0MM0SK2ZJ2eI3kH3qF3n\
J8kMDiOHfSKcVOaYUZaYXcaUfeRjiOmnMorJsvHvzEyzFvzFsz\
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NVoNVkOVgOVeQVaQVZRVVSVRSVOUVKUVHVVEVVAXV7XVBYSFZR\
J_QNaORbNVbMZcKbeJffIjgHniFriEvjDzkBzmAzn8zn7oc3VV\
0AK00B00I07O0FV0N_0Vf0bm3jr4ry7zz8zzAzz7zz4zz2zz0z\
z0zz0zz0zy0zu0zr0yn0vk0ug0re0qa0nZ0mV0jS0iO0gM0ZaE\
RqUJzgKzeMzcMzbNyaNw_OvZOuYQrXQqVRoURnSSmRSkQUjOUi\
NSeJSaHSZESVARS7RO4RM0RI0RF0UI0XK4YMA_OEbRIcSNfVRi\
YVjZ_macocgqemsgqvjuwkzznzzozzqzzrzzswzusyvoywmyyi\
yzfwzbwzZwzXwzSvzOvzMvzIvzFwzIwzKwzNwzOwzRwzUwzVwz\
Ywz_wzbwzcwzfyziyzjyzmyzo
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-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 20.0 PAR-FORMULA FILE==================================
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times.