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An odd formula for the volume of three-dimensional lattice polyhedra

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Publication:1919276
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DOI10.1007/BF00150027zbMath0858.52005OpenAlexW2021848002MaRDI QIDQ1919276

Krzysztof Kołodziejczyk

Publication date: 18 September 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00150027


zbMATH Keywords

Euler characteristiclattice polyhedralattice pointproper lattice polyhedron


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies (number-theoretic aspects) (11H06)


Related Items

Polynomials and spatial Pick-type theorems ⋮ On odd points and the volume of lattice polyhedra ⋮ On the volume of lattice manifolds ⋮ The boundary characteristic and the volume of lattice polyhedra



Cites Work

  • A new formula for the volume of lattice polyhedra
  • Areas of lattice figures in the planar tilings with congruent regular polygons
  • On the Volume of Lattice Polyhedra
  • The Fascination of the Elementary
  • A Further Note on the Volume of Lattice Polyhedra
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