On the existence of \(U\)-polygons of class \(c\geq 4\) in planar point sets

DOI10.1016/j.disc.2009.02.035zbMath1207.52020arXiv0811.3546OpenAlexW2040609538MaRDI QIDQ1044967

Christian Huck

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3546

zbMATH Keywords

algebraic Delone setaffinely regular polygon, cyclotomic model setU-polygon

Mathematics Subject Classification ID

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 (1)

Uniqueness in discrete tomography of Delone sets with long-range order

Uses Software

• OEIS

Cites Work

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• 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
• Directions in Mathematical Quasicrystals
• Discrete tomography of planar model sets
• X-rays characterizing some classes of discrete sets

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