Spatial chaos of Wang tiles with two symbols

DOI10.1063/1.4941734zbMath1332.05034arXiv1507.04070OpenAlexW2114437981MaRDI QIDQ2795570

Song-Sun Lin, Jinyu Chen, Wen-Guei Hu, Yu-Jie Chen

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04070

zbMATH Keywords

spatial chaos problem in plane edge coloring

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Measures of information, entropy (94A17) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Chaotic behavior of solutions of difference equations (39A33)

Related Items (1)

Nonemptiness problems of Wang cubes with two colors

Cites Work

• On the entropy of \(\mathbb{Z}^d\) subshifts of finite type
• An aperiodic set of 13 Wang tiles
• A small aperiodic set of Wang tiles
• Nonemptiness problems of Wang tiles with three colors
• Patterns generation and spatial entropy in two-dimensional lattice models
• Undecidability and nonperiodicity for tilings of the plane
• Patterns generation and transition matrices in multi-dimensional lattice models
• Nonemptiness problems of plane square tiling with two colors
• Zeta functions for two-dimensional shifts of finite type
• The undecidability of the domino problem
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