Rigid polyboxes and Keller's conjecture

DOI10.1515/advgeom-2017-0004zbMath1388.52016arXiv1304.1639OpenAlexW2964068992WikidataQ123026054 ScholiaQ123026054MaRDI QIDQ1707393

Andrzej P. Kisielewicz

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1639

zbMATH Keywords

boxrigiditycliquescube tilingKeller's conjecture

Mathematics Subject Classification ID

Rigidity results (53C24) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial codes (94B25) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (11)

Towards resolving Keller's cube tiling conjecture in dimension seven ⋮ Partitions and balanced matchings of an \(n\)-dimensional cube ⋮ On the structure of cube tiling codes ⋮ Gluing and cutting cube tiling codes in dimension six ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Keller's conjecture in dimension seven ⋮ Extended Keller graph and its properties ⋮ The resolution of Keller's conjecture ⋮ Varieties of mathematical understanding ⋮ The resolution of Keller's conjecture

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