Enumerating cube tilings

DOI10.1007/s00454-013-9547-4zbMath1283.52027OpenAlexW2077491088MaRDI QIDQ393746

Patric R. J. Östergård, K. Ashik Mathew, Alexandru Popa

Publication date: 24 January 2014

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-013-9547-4

zbMATH Keywords

classificationexact covercube tilingsswitching graph

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (4)

On the structure of cube tiling codes ⋮ Gluing and cutting cube tiling codes in dimension six ⋮ On hypercube packings, blocking sets and a covering problem ⋮ New results on torus cube packings and tilings

Uses Software

• nauty
• Cliquer
• libexact

Cites Work

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• Switching codes and designs
• The cycle switching graph of the Steiner triple systems of order 19 is connected
• Classification algorithms for codes and designs
• Cube packings, second moment and holes
• Cube tilings as contributions of algebra to geometry
• A cube tiling of dimension eight with no facesharing
• Über lückenlose Ausfüllung des \(n\)-dimensionalen Raumes durch kongruente Würfel
• Keller’s cube-tiling conjecture is false in high dimensions
• Isomorph-Free Exhaustive Generation

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