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Hexagonal Tilings: Tutte Uniqueness [PDF]
, 2005 We develop the necessary machinery in order to prove that hexagonal tilings are uniquely determined by their Tutte polynomial, showing as an example how to apply this technique to the toroidal hexagonal tiling.Comment: 12 ...
Garijo, D., Marquez, A., Revuelta, M. P.
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Hexagonal Tilings and Locally C6 Graphs [PDF]
, 2005 We give a complete classification of hexagonal tilings and locally C6 graphs, by showing that each of them has a natural embedding in the torus or in the Klein bottle.
Garijo, D. +3 more
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Hexagonal and trigonal quasiperiodic tilings [PDF]
Israel Journal of Chemistry, 2022 AbstractExploring nonminimal‐rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long‐range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting aperiodic long‐range order with hexagonal ...
Sam Coates +6 more
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Tiling Enumeration of Hexagons with Off-Central Holes [PDF]
The Electronic Journal of Combinatorics, 2022 This paper is the sequel of the author's previous paper about tiling enumerations of the cored versions of a doubly-intruded hexagon (Electron. J. Combin. 2020), in which we generalized Ciucu's work about $F$-cored hexagons (Adv. Math. 2017). This paper provides an extensive list of thirty tiling enumerations of hexagons with three collinear chains of ...
Tri Lai
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Tilings of damaged hexagons [PDF]
, 2023 In a recent paper, Byun presented nice formulas for the enumeration of lozenge tilings of certain hexagonal regions with intrusions. This paper attempts to generalise some of Byun's investigations.
Markus Fulmek
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Taylor–Socolar Hexagonal Tilings as Model Sets [PDF]
Symmetry, 2012 The Taylor–Socolar tilings are regular hexagonal tilings of the plane but are distinguished in being comprised of hexagons of two colors in an aperiodic way. We place the Taylor–Socolar tilings into an algebraic setting, which allows one to see them directly as model sets and to understand the corresponding tiling hull along with its generic and ...
Jeong-Yup Lee, Robert V. Moody
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Lozenge tilings of doubly-intruded hexagons [PDF]
Journal of Combinatorial Theory, Series A, 2017 Version 2: 37 pages and many figures.
Mihai Ciucu, Tri Lai
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The Hexagonal Tiling Honeycomb [PDF]
The hexagonal tiling honeycomb is a beautiful structure in 3-dimensional hyperbolic space. It is called {6,3,3} because each hexagon has 6 edges, 3 hexagons meet at each vertex in a Euclidean plane tiled by regular hexagons, and 3 such planes meet along each edge of this honeycomb. It also appears naturally in algebraic geometry.
John C. Baez
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Hexakis[dimethyltin(IV) difluoride] potassium iodide, 6Me2SnF2·KI: linear rods of potassium iodide penetrating the pores in planar layers of dimethyltin(IV) difluoride [PDF]
Acta Crystallographica Section E: Crystallographic CommunicationsThe hexagonal host–guest title compound, poly[hexakis[[dimethyltin(IV)]-di-μ-fluorido] potassium iodide], {[Sn(CH3)2F2]6·KI}n or (Me2SnF2)6·KI, represents a layer structure of distorted {Me2SnF4/2} octahedra corner-linked via μ2-bonding fluorine atoms ...
Johanna Vages +3 more
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Coverage-Controlled Superstructures of C3 -Symmetric Molecules: Honeycomb versus Hexagonal Tiling. [PDF]
Angew Chem Int Ed Engl, 2020 Jasper-Tönnies T +4 more
europepmc +3 more sources