On the structure of cube tilings and unextendible systems of cubes in low dimensions

DOI10.1016/j.ejc.2011.07.003zbMath1241.52009OpenAlexW2058589564WikidataQ56699792 ScholiaQ56699792MaRDI QIDQ648998

Magdalena Łysakowska, Krzysztof Przeslawski

Publication date: 29 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2011.07.003

zbMATH Keywords

cube tilingslayered structurecube packings

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (6)

On the structure of cube tiling codes ⋮ Rigidity and the chessboard theorem for cube packings ⋮ Rigid polyboxes and Keller's conjecture ⋮ Unnamed Item ⋮ On Keller's conjecture in dimension seven ⋮ The structure of cube tilings under symmetry conditions

Uses Software

• QETLAB

Cites Work

• Unnamed Item
• Cube packings, second moment and holes
• Combinatorial cube packings in the cube and the torus
• Unextendible product bases, uncompletable product bases and bound entanglement
• Orthonormal bases of exponentials for the \(n\)-cube
• A cube tiling of dimension eight with no facesharing
• Topics in factorization of Abelian groups.
• A combinatorial approach for Keller's conjecture
• Keller’s conjecture on the existence of columns in cube tilings of ℝn
• Keller’s cube-tiling conjecture is false in high dimensions
• Unextendible product bases

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