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I am an architecture student researching into quasicrystals with the hope of applying it to form a complex truss system. I was wondering if anyone new of a formula for the structure? thanks in advance.

Jake

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What do you mean by 'a formula for the structure'? The most well-known way to generate a quasiperiodic structure is to consider a periodic structure in a higher dimension and then 'slice' it along a plane which is not aligned with any of the lattice directions (or any integer combinations of them). –  Chris Taylor Nov 22 '11 at 23:42
    
if you want to know about the maths behind quasicrystals, look up "penrose tilings" –  Glougloubarbaki Nov 22 '11 at 23:56
    
Still are you interested in the algorithm quasicrystal? –  Alkalurops Mar 24 at 22:56
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Certainly there is no formula. However, take a look at http://www.tau.ac.il/~ronlif/quasicrystals.html and the book Marjorie Senechal, "Quasicrystals and geometry" (Cambridge University Press, Cambridge, 1995).

http://books.google.com/books/about/Quasicrystals_and_geometry.html?id=LdQ8AAAAIAAJ

as well as

http://en.wikipedia.org/wiki/Quasicrystal

I do not see that any macroscopic use in engineering is possible at this time. There are algorithms to produce Penrose tilings correctly, but those are two dimensional patterns.

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