Voronoi conjecture for special free parallelotopes

DOI10.2140/moscow.2021.10.83zbMath1469.52011OpenAlexW3175111364WikidataQ113727173 ScholiaQ113727173MaRDI QIDQ2043665

Viatcheslav Grishukhin

Publication date: 3 August 2021

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/moscow.2021.10.83

zbMATH Keywords

parallelotopeVoronoi's conjecturefree parallelotope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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• On the connection between the projection and the extension of a parallelotope
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• Properties of parallelotopes equivalent to Voronoi's conjecture
• The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces
• Voronoi's conjecture for extensions of Voronoi parallelohedra