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Areas of lattice figures in the planar tilings with congruent regular polygons

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Publication:1177949
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DOI10.1016/0097-3165(91)90076-SzbMath0739.05028OpenAlexW2137455717MaRDI QIDQ1177949

Krzysztof Kołodziejczyk

Publication date: 26 June 1992

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(91)90076-s


zbMATH Keywords

Euler characteristicplanar tilingsPick's formulasimple lattice polygons


Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45)


Related Items

An odd formula for the volume of three-dimensional lattice polyhedra ⋮ Realizable quadruples for hex-polygons. Combinatorics of honeycombs ⋮ A new formula for the volume of lattice polyhedra ⋮ Polynomials and spatial Pick-type theorems ⋮ Primitive and mensurable hex-triangles ⋮ The boundary characteristic and the volume of lattice polyhedra



Cites Work

  • The boundary characteristic and Pick's theorem in the Archimedean planar tilings
  • A new Pick-type theorem on the hexagonal lattice
  • On the Volume of Lattice Polyhedra
  • Pick's Theorem Revisited
  • The Fascination of the Elementary
  • Calculating Surface Areas from a Blueprint
  • Neuere Studien über Gitterpolygone.
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