Wull Shape for Non{periodic Arrangements
نویسنده
چکیده
We deene an analogue of the Gibbs{Curie energy for quasi{crystals. We show that there exists a Wull{type shape optimizing this energy, which is always a convex polytope. This way we can model the triacontahedron and the dodecahedron as shapes of quasi{crystals, according to reality. We also provide a shorter proof for the well{known formula for the number of points of a non{periodic set in a large convex domain, which also yields a non{trivial error term in the cases connected to real quasi{crystals.
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تاریخ انتشار 1998