k–isotoxal tilings from [pn] tilings

DOI10.1080/17513472.2021.2011687zbMath1482.52023OpenAlexW4205689083MaRDI QIDQ5029423

Mark D. Tomenes, Ma. Louise Antonette N. De Las Peñas

Publication date: 14 February 2022

Published in: Journal of Mathematics and the Arts (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513472.2021.2011687

zbMATH Keywords

tilingssymmetry groupisotoxality\([p^n\) tilings]isotoxal

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

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• The generation and classification of tile-k-transitive tilings of the Euclidean plane, the sphere and the hyperbolic plane
• The 37 combinatorial types of minimal, non-transitive, equivariant tilings of the Euclidean plane
• The 2-homeotoxal tilings of the plane and the 2-sphere
• Isotoxal tilings
• Islamic geometric patterns in higher dimensions
• The eighty-one types of isohedral tilings in the plane
• The Ninety-One Types of Isogonal Tilings in the Plane
• Hyperbolic flowers
• Three-periodic nets and tilings: regular and quasiregular nets
• Three-periodic nets and tilings: semiregular nets
• Three-periodic nets and tilings: edge-transitive binodal structures
• Three-periodic tilings and nets: face-transitive tilings and edge-transitive nets revisited
• Hyperbolic isocoronal tilings

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