A new Pick-type theorem on the hexagonal lattice

DOI10.1016/0012-365X(88)90110-0zbMath0639.52011MaRDI QIDQ1100443

John R. Reay, Ren Ding, Krzysztof Kołodziejczyk

Publication date: 1988

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

zbMATH Keywords

areaPick-type theoremhexagonal lattice polygonsplane tiling

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (5)

Realizable quadruples for hex-polygons. Combinatorics of honeycombs ⋮ Areas of lattice figures in the planar tilings with congruent regular polygons ⋮ Primitive and mensurable hex-triangles ⋮ The boundary characteristic and the volume of lattice polyhedra ⋮ A note on area of lattice polygons in an Archimedean tiling

Cites Work

• The boundary characteristic and Pick's theorem in the Archimedean planar tilings
• Pick's Theorem Revisited

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