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research article
A note on discrete lattice-periodic sets with an application to Archimedean tilings
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.
Type
research article
Web of Science ID
WOS:000502041300012
Authors
Publication date
2019-12-01
Publisher
Volume
60
Issue
4
Start page
749
End page
759
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 26, 2019
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