Aperiodic colorings and tilings of Coxeter groups

2006/11/03 by Alexander Dranishnikov, Dranishnikov, Alexander, Viktor Schroeder +1 · 2 citations
Computer Science · Materials Science · Mathematics · #20F55 #20F67 #Cellular Automata and Applications #FOS: Mathematics #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.math/0611084

openalex publication_date 2006/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a limit aperiodic coloring of hyperbolic groups. Also we construct limit strongly aperiodic strictly balanced tilings of the Davis complex for all Coxeter groups.

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Related

• Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
• Limit aperiodic and repetitive colorings of graphs
• Colourings of aperiodic tilings
• Conway and aperiodic tilings
• Mapping the Davis complex into the imaginary cone