A new formula for the volume of lattice polyhedra

DOI10.1007/BF01326035zbMath0865.52010OpenAlexW2312965882MaRDI QIDQ1126393

Krzysztof Kołodziejczyk

Publication date: 26 June 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178753

zbMATH Keywords

volumeEuler characteristiclattice pointslattice polyhedronfundamental lattice

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items

An odd formula for the volume of three-dimensional lattice polyhedra ⋮ Polynomials and spatial Pick-type theorems ⋮ On odd points and the volume of lattice polyhedra ⋮ On the volume of lattice manifolds

Cites Work

• The boundary characteristic and Pick's theorem in the Archimedean planar tilings
• Areas of lattice figures in the planar tilings with congruent regular polygons
• On the Volume of Lattice Polyhedra
• A Further Note on the Volume of Lattice Polyhedra
• Pick's Theorem
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