Results 111 to 120 of about 6,990 (214)
Tilings by hexagonal prisms and embeddings into primitive cubic networks [PDF]
Mikhail Bouniaev +2 more
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Coverage‐Controlled Superstructures of C3‐Symmetric Molecules: Honeycomb versus Hexagonal Tiling [PDF]
Torben Jasper‐Tönnies +4 more
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Centrally symmetric tilings of fern-cored hexagons
In this paper we enumerate the centrally symmetric lozenge tilings of a hexagon with a fern removed from its center. The proof is based on a variant of Kuo's graphical condensation method. An unexpected connection with the total number of tilings is established~---~when suitably normalized, the number of centrally symmetric tilings is equal to the ...
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Rhombus Tilings of a Hexagon with Two Triangles Missing on the Symmetry Axis
We compute the number of rhombus tilings of a hexagon with sides n, n, N, n, n, N, where two triangles on the symmetry axis touching in one vertex are removed.
Eisenkölbl, Theresia
core +3 more sources
Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes [PDF]
Tri Lai, Ranjan Rohatgi
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Tilings of Flat Tori by Congruent Hexagons
Convex hexagons that can tile the plane have been classified into three types. For the generic cases (not necessarily convex) of the three types and two other special cases, we classify tilings of the plane under the assumption that all vertices have degree $3$. Then we use the classification to describe the corresponding hexagonal tilings of flat tori
Yu, Xinlu, Wang, Erxiao, Yan, Min
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A shuffling theorem for lozenge tilings of doubly-dented hexagons [PDF]
Tri Lai, Ranjan Rohatgi
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Generating functions of Lozenge tilings for hexagonal regions via nonintersecting lattice paths
Oskar-Morgenstern-Platz 1, Markus Fulmek
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Matrix-valued orthogonal polynomials related to hexagon tilings [PDF]
Alan Groot, Arno B. J. Kuijlaars
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Tiling enumeration of doubly-intruded halved hexagons
Inspired by Propp's intruded Aztec diamond regions, we consider halved hexagons in which two aligned arrays of triangular holes have been removed from their boundaries. Unlike the intruded Aztec diamonds (whose numbers of domino tilings contain some large prime factors in their factorizations), the numbers of lozenge tilings of our doubly-intruded ...
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