Bounds on the defect of an octahedron in a rational lattice

DOI10.1016/j.dam.2023.10.007OpenAlexW4388731473MaRDI QIDQ6180569

Mikhail Fadin

Publication date: 22 December 2023

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

Full work available at URL: https://doi.org/10.1016/j.dam.2023.10.007

zbMATH Keywords

latticedefectoctahedron

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06)

Cites Work

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• Defect of an admissible octahedron in a centering of an integer lattice generated by a given number of vectors
• Defect of an octahedron in a rational lattice
• Maximum defect of an admissible octahedron in a rational lattice

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