Filling space with hypercubes of two sizes – The pythagorean tiling in higher dimensions

DOI10.1112/mtk.12152zbMath1526.52015arXiv2204.11529OpenAlexW4281720804WikidataQ114077792 ScholiaQ114077792MaRDI QIDQ6074962

Unnamed Author

Publication date: 20 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11529

zbMATH Keywords

hypercube\(n\)-dimensional Euclidean spaceBölcskei conjecturePythagorean tilingunilateral lattice tiling

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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• Keller’s cube-tiling conjecture is false in high dimensions
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