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Offlinenitroguy
SeiZureS

Registered: 05/10/05
Posts: 113
Last seen: 6 years, 11 months
Cyclic Fractals
    #4277905 - 06/09/05 11:42 PM (11 years, 6 months ago)

Can anyone think of an instance where a cyclic fractal could exist? This is a stupid drunken thought, I know, but imagine a fractal where after several iterations the "spawn" of the fractal was the original. Such as a dream within a dream within a dream within a dream within a dream within a dream within a dream within a dream that is the original dream... seems impossible but someone give me some insight, im drunk!


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...Weapons are meant for destruction,
and thus are avoided by the wise.
Only as a last resort
will a wise person use a deadly weapon.
If peace is her true objective
how can she rejoice in the victory of war?
Those who rejoice in victory
delight in the slaughter of humanity.
Those who resort to violence
will never bring peace to the world...

Lao-Tzu, "Tao Te Ching--31" trans. J.H. McDonald


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Offlinenitroguy
SeiZureS

Registered: 05/10/05
Posts: 113
Last seen: 6 years, 11 months
Re: Cyclic Fractals [Re: nitroguy]
    #4277912 - 06/09/05 11:43 PM (11 years, 6 months ago)

Kinda like a mobius strip in the fractal world.


--------------------
...Weapons are meant for destruction,
and thus are avoided by the wise.
Only as a last resort
will a wise person use a deadly weapon.
If peace is her true objective
how can she rejoice in the victory of war?
Those who rejoice in victory
delight in the slaughter of humanity.
Those who resort to violence
will never bring peace to the world...

Lao-Tzu, "Tao Te Ching--31" trans. J.H. McDonald


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OfflineGomp
¡(Bound to·(O))be free!
Male User Gallery

Registered: 09/11/04
Posts: 10,866
Loc: I re·side [primarily] in...
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Re: Cyclic Fractals [Re: nitroguy]
    #4277967 - 06/10/05 12:01 AM (11 years, 6 months ago)

dunno, but .. if you filmed that you filmed yourself, and there saw on a TV that you held the image of you on TV on TV, and introducing yet a TV, you would see you on TV on TV on TV ... ha ha Sleep time.. I'll check on this tomorrow! great thoughts! :wink:


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Disclaimer!?


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InvisibleRavus
Not an EggshellWalker
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Registered: 07/18/03
Posts: 7,991
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Re: Cyclic Fractals [Re: nitroguy]
    #4277992 - 06/10/05 12:16 AM (11 years, 6 months ago)

Isn't the cycle of a fractal, which is itself a self-similar geometric graph possessing infinite detail, redundant?

Seeing as a fractal is self-similar at different scales, or appears to repeat itself, to begin with, what would adding a cycle to the self-similar repetition do? Isn't it already a type of cycle since it returns to the same image?


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So long as you are praised think only that you are not yet on your own path but on that of another.


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Offlinemikl
I am perception
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Registered: 12/16/04
Posts: 1,054
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Re: Cyclic Fractals [Re: nitroguy]
    #4278204 - 06/10/05 01:35 AM (11 years, 6 months ago)

your answer lies at the end of phi! :grin:


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MAY YOU BE NURTURED BY THE FRUITS OF YOUR LABOR.


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General Interest >> Philosophy, Sociology & Psychology

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