Projection Quasicrystals I: Toral Rotations

Abstract

We present a systematic treatment of the commutative and non-commutative topol-ogy of quasicrystal point patterns and tilings produced in nite dimensional Euclidean space by the projection or strip method. With no conditions on the projection plane and with a general acceptance domain only weakly constrained, we examine two sets of points constructed by the… (More)

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