On Voronoi’s conjecture for four- and five-dimensional parallelohedra

DOI10.1070/RM10020zbMath1489.52012OpenAlexW4214880263WikidataQ113854107 ScholiaQ113854107MaRDI QIDQ5074413

Alexander Magazinov, Alexey I. Garber

Publication date: 9 May 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10020

zbMATH Keywords

Voronoi diagramsparallelohedra

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• On the sum of a parallelotope and a zonotope
• On \(\pi\)-surfaces of four-dimensional parallelohedra
• Parallelohedra: A retrospective and new results
• Convex bodies which tile space by translation
• Unnamed Item

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