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The Fractal nature of the Web

 
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shamil
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Joined: 21 Nov 2005
Posts: 439

PostPosted: Fri Jan 12, 2007 11:30 pm    Post subject: The Fractal nature of the Web Reply with quote

Here is an old but interesting suggestion I recently encountered. It assumes that everything that is happening in the Web is actually tends to prove the concept that the Web is a fractal.

Quote:
I have discussed elsewhere how we must avoid the two opposite social deaths of a global monoculture and a set of isolated cults, and how the fractal patterns found in nature seem to present themselves as a good compromise. It seems that the compromise between stability and diversity is served by there the same amount of structure at all scales. I have no mathematical theory to demonstrate that this is an optimization of some metric for the resilience of society and its effectiveness as an organism, nor have I even that metric.

However, it seems from experience that groups are stable when they have a set of peers, when they have a substructure. Neither the set of peers nor the substructure must involve huge numbers, as groups cannot "scale", that is, work effectively with a very large number of liaisons with peers, or when composed as a set of a very large number of parts. If this is the case then by induction there must be a continuum of group sizes from the vary largest to the very smallest.

This seems to be a general rule which can guide our design, and against which we can measure actual patterns of use.
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Gentleman
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Joined: 22 Nov 2005
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Location: Красноярск

PostPosted: Sat Jan 13, 2007 3:05 pm    Post subject: Reply with quote

I've been studied fractal structures in high school. I remember nanoparticles of silver hydrosol irradiated with light different length (due to application of optical filters) formed fractal structures. There is a formula which describe such structure. After experiments an article in magazine " Letters in JETF" was written. Physics of fractal structures formation is interesting: occurrence of a photoeffect on a surface of nanoparticles, action of Van-der-Vaalsf forces, a double photoeffect etc..... It was terribly interesting. In result we have the fractal structure discribed by formula above. There there is a index in the formula which is a fractal dimension.
I wonder, haev the author of this article analogy to such formula before he writing the article?
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