Publication

A note on discrete lattice-periodic sets with an application to Archimedean tilings

Matthias Schymura
2019
Journal Articles

Abstract

Cao and Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the plane by regular hexagons. Observing that the vertex set of every Archimedean tiling is the union of translates of a fixed lattice, we take a more general viewpoint and investigate basic questions for such point sets about the homogeneous and inhomogeneous problem in the geometry of numbers. The Archimedean tilings nicely exemplify our results.

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A note on discrete lattice-periodic sets with an application to Archimedean tilings

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