Algebraic and model-theoretic properties of tilings

DOI10.1016/j.tcs.2004.02.019zbMath1047.52014OpenAlexW2093651837MaRDI QIDQ596049

Francis Oger

Publication date: 10 August 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.02.019

zbMATH Keywords

Cayley graphsDelone setsPenrose tilingsElementary equivalenceEquational structuresFinitely axiomatizable superstable theoriesFree structuresLocal isomorphism propertyLocally isomorphic structuresQuasicrystalsRelational structuresRobinson tilingsTilings of \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Models of other mathematical theories (03C65)

Related Items (3)

Subshifts as models for MSO logic ⋮ Cut-and-project graphs and other complexes ⋮ Subshifts, Languages and Logic

Cites Work

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• Products of trees, lattices and simple groups
• Space tilings and local isomorphism
• Geometric models for quasicrystals. II. Local rules under isometries
• Tilings and quasiperiodicity.
• Notes on a class of tiling problems

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