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- W1488890788 abstract "The relation of s-convexity and sets modeling physical quasicrystals is explained for quasicrystals related to quadratic unitary Pisot numbers. We show that 1-dimensional model sets may be characterized by s-convexity for finite set of parameters s. It is shown that the three Pisot numbers $frac12(1+sqrt5)$, $1+sqrt2$, and $2+sqrt3$ related to experimentally observed non-crystallographic symmetries are exceptional with respect to s-convexity." @default.
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- W1488890788 date "1999-07-08" @default.
- W1488890788 modified "2023-09-27" @default.
- W1488890788 title "s-convexity, model sets and their relation" @default.
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