There are exactly 222 \(L\)-types of primitive five-dimensional lattices

DOI10.1006/eujc.2001.0551zbMath1017.52006OpenAlexW2072505366MaRDI QIDQ1612757

Viatcheslav Grishukhin, Peter Engel

Publication date: 19 August 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2001.0551

zbMATH Keywords

Voronoi partition\(L\)-typeDelaunay partition

Mathematics Subject Classification ID

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

Related Items (5)

Periodic triangulations of \(\mathbb{Z}^{n}\) ⋮ The hypermetric cone and polytope on eight vertices and some generalizations ⋮ Lattice triangulations of \(\mathbb{E}^3 \) and of the 3-torus ⋮ Parallelohedra: A retrospective and new results ⋮ Fullerenes and disk-fullerenes

Cites Work

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• Maximal unimodular systems of vectors
• On lattice dicing
• Rank 1 forms, closed zones and laminae.
• The contraction types of parallelohedra inE⁵

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