Difference between revisions of "Talk:Fractal"

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(New page: Not a very satisfactory definition, as it misses out the all-important term "self-similar" From: http://mathworld.wolfram.com/Fractal.html <quote> A fractal is an object or quantity that ...)
 
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Not a very satisfactory definition, as it misses out the all-important term "self-similar"
 
Not a very satisfactory definition, as it misses out the all-important term "self-similar"
 
From: http://mathworld.wolfram.com/Fractal.html
 
From: http://mathworld.wolfram.com/Fractal.html
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The bit about fractional dimensions needs to be added, because this extends the idea of dimensions quite considerably.  --[[User:Felix|Felix]] 06:43, 26 April 2007 (EDT)
 
The bit about fractional dimensions needs to be added, because this extends the idea of dimensions quite considerably.  --[[User:Felix|Felix]] 06:43, 26 April 2007 (EDT)
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"The fractal nature of some plants has convinced many people that God must have designed the natural world" makes no sense whatsoever as an argument. If anything, I would have thought that it would have substantiated the case for the universe NOT being designed, since what occcurs in one place is simply replicated in another - this time on different scales. In any case, plants do NOT have a fractal structure. Some (not all) are self-similar on two (or possibly three) scales. Fractals are infinitely self-similar.  At best this statement is an irrelevance, at worst it completely discredits the article . It should be removed.--[[User:Felix|Felix]] 09:15, 26 April 2007 (EDT)

Revision as of 13:15, April 26, 2007

Not a very satisfactory definition, as it misses out the all-important term "self-similar" From: http://mathworld.wolfram.com/Fractal.html <quote> A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales. A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the fractal dimension. </quote>

The bit about fractional dimensions needs to be added, because this extends the idea of dimensions quite considerably. --Felix 06:43, 26 April 2007 (EDT)


"The fractal nature of some plants has convinced many people that God must have designed the natural world" makes no sense whatsoever as an argument. If anything, I would have thought that it would have substantiated the case for the universe NOT being designed, since what occcurs in one place is simply replicated in another - this time on different scales. In any case, plants do NOT have a fractal structure. Some (not all) are self-similar on two (or possibly three) scales. Fractals are infinitely self-similar. At best this statement is an irrelevance, at worst it completely discredits the article . It should be removed.--Felix 09:15, 26 April 2007 (EDT)