A note on affinely regular polygons

DOI10.1016/j.ejc.2008.05.001zbMath1166.52004arXiv0801.3218OpenAlexW2072589749WikidataQ60692166 ScholiaQ60692166MaRDI QIDQ1003588

Christian Huck

Publication date: 4 March 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3218

zbMATH Keywords

latticeconvex setquasicrystalDelone setaffinely regular polygon

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Convex sets in (2) dimensions (including convex curves) (52A10) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (3)

A characterization of affinely regular polygons ⋮ Uniqueness in discrete tomography of Delone sets with long-range order ⋮ On the existence of \(U\)-polygons of class \(c\geq 4\) in planar point sets

Uses Software

• OEIS

Cites Work

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• Uniqueness in discrete tomography of Delone sets with long-range order
• Aperiodic tiles
• On the computational complexity of reconstructing lattice sets from their \(X\)-rays
• On Hammer's X-Ray Problem
• PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE
• Discrete tomography: Determination of finite sets by X-rays
• Discrete tomography of planar model sets

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