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\(H\)-triangles with \(k\) interior \(H\)-points

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Publication:998338
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DOI10.1016/j.disc.2007.11.020zbMath1168.52015OpenAlexW2059657130MaRDI QIDQ998338

Ren Ding, Xianglin Wei

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.11.020


zbMATH Keywords

triangular lattice\(H\)-point\(H\)-trianglehexagonal tilePick's theorem


Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)


Related Items

A disproof of the conjecture about boundary \(H\)-points of \(H\)-triangles ⋮ The minimum number of interior \(H\)-points of convex \(H\)-dodecagons ⋮ A note on the number of vertices of the Archimedean tiling ⋮ A note on area of lattice polygons in an Archimedean tiling



Cites Work

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  • Realizable quadruples for hex-polygons. Combinatorics of honeycombs
  • A proof of Coleman's conjecture
  • Areas of generalized \(H\)-polygons
  • On convex lattice polygons
  • A Fast Pick-Type Approximation for Areas of H-Polygons


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