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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal, which was calculated with a bailout of 400, was created by adding 0.6 parts of Z^(-16) to 6 parts of Z^(-1.6), and then adding (1/C). The parent fractal is a many-bayed affair, with more valleys than the garden here at Fractal Central has butterflies. The scene of today's image is located at the tip of a spiral filament extending from a tiny bud on the south shore of a curved valley in the north section of a secondary bay at the east end of the parent fractal. It's probably easier to zoom out of today's image and see just where it is located in relation to the whole fractal than it is to make sense of that last sentence. I named the image "Spectacle". It's true that all fractals are spectacles, (though all spectacles are not fractals). But I don't recall having used the word before, and though today's image rates only a humble 4 IMO, it is still worth being called a spectacle. The spectacular scene takes 15 minutes to unfold from the parameter file. The scene can be seen in far less time by waiting an hour or so until Paul and Scott have had a chance to post the GIF image to their web sites at: The fractal weather today continued chilly for the season, with clouds and a temperature of 62F 16.5C, which left the cats cold. They spent the day on their shelf by the window, watching the world outside, wishing it were warmer, and perking up only when another cat came into sight. At nightfall, a shower of rain began, but by that time, the day had already been spoiled. During the past 24 hours, I have been doing a lot of pondering about the magical? world of the paranormal. At least one of the so-called paranormal phenomena, precognition, does exist. One thing for certain however is that the explanation, when it is found, will prove to be natural and not magical. It is almost equally certain that when the explanation is found, our conception of the natural world will need to expand to include it. This expansion may demand a somewhat broader concept of the outer world, and take the form of a non-linear concept of the flow of time. Or it may require a broader concept of the inner world of man himself, and a realization that at some deep level, man is eternally present at all points of time and space. The former explanation would be more acceptable to materialists; the latter, which would also explain clairvoyance, would be more acceptable to the religious minded, who already believe in an eternal spirit. My feeling is that the two explanations may be no more than two different aspects of the same thing. Of course, my feeling may be a result of my desire to see an end to the conflict between science and religion, and the two disciplines co-existing in non-contradictory harmony. It's now time to shift gears into a more practical mode. When I finish the things that need to be done, I might get back to that FOTD-CD that I've been thinking of. Until next time, which will be tomorrow around this same time, take care, and be as peaceful as possible. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Spectacle { ; time=0:15:34.61--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.22164249176614300/+0.300496616260909\
60/5.076234e+007/1/-95 params=6/-1.6/0.6/-16/0/300
float=y maxiter=3600 inside=0 logmap=243
colors=000FkzFmzKhzFmzB`z4Qz0Dw00p00i00b00Z00V40S9\
0OF0KK0HQ0DT09Z04d00i00g00e00e00d04b07b09`0BZ0FZ0H\
X0IV0KV0OT0QS0SS0VQ0XO0ZO0`M0dK0eK0gI0iH0mH0nF0pH0\
vF0tF0rF0pF0pF0nF4mF9kDDkDHiDKgDQeDTeDXdD`b0Zk7beD\
dbKeZQiTXkQbmMgpHnrDtt9zw2zy0zz0zz0zz0zw0zv0zt0yp2\
vn4rm7ni7kg9geBebDb`FZZHVVISTKQSKSTQTVTTXZVZbX`gX`\
kZbpZdt`ewbgzbgzdizekzemzgnzdzzevzgnzigzi`zkTzmMzm\
Fzn7zp0zz0zp0zr0zk0zi2ze7udBp`FkZIfXMfTQfSTkOVpMZu\
IbzHeyFiyBmw9pvKttUwrczpmznwzkwzmwznwzpwzrrzrmzthz\
vczwczyczyczzczzUzzKzz7zz7zz9yz9yzBm0BmzzwmDwzDwzF\
wzFvzHhzHvzDzzHvzIpzMmzOgzSbzTZzXTzZQzbKzdFzgBzi4z\
k0zrTywrZzz7yzBwzFtyIrrMnmOmgSi`VgVZdQbbIdZDgXDkTF\
nSHrQItSKvSMwSOwSQySSzSTzSVzTXzTZzT`zTbzTdzTezTgzV\
izVkzVmzVnzVpzVrzVtzXvzXwzXyzXzzXzzXzzXzzTzzXzzZzz\
`zzdzzezzgzzizzmzznzzpzzrzzvzzwzzyzzzzzzzzzzzzzzzz\
zzzyzzwzzwtzzXzz9zzFzzIzz
}
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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times.
