Multiple tilings of \(n\)-dimensional space by unit cubes

DOI10.1007/BF01214145zbMath0398.52006OpenAlexW2086955343WikidataQ56699795 ScholiaQ56699795MaRDI QIDQ1254541

Raphael M. Robinson

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172828

zbMATH Keywords

Multiple Tilings of \(N\)-Dimensional Space By Unit Cubes

Mathematics Subject Classification ID

Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items

Degree of recurrence of generic diffeomorphisms ⋮ Structure results for multiple tilings in 3D ⋮ An equation in Abelian groups and multiple lattice tilings of \(n\)-dimensional space ⋮ Multiple factorizations by cyclic subsets ⋮ Translational tilings by a polytope, with multiplicity ⋮ Cube tiling and covering a complete graph ⋮ What is known about unit cubes ⋮ Tilings with congruent tiles ⋮ Multiple tilings of Euclidean space by unit cubes ⋮ Characterization of the Two-Dimensional Fivefold Translative Tiles ⋮ Robinson's conjecture on Abelian groups ⋮ Multiple Lattice Tilings in Euclidean Spaces ⋮ Multiple tilings by cubes with no shared faces ⋮ Non-integer lattice tilings by (k,n) truncated crosses ⋮ Characterization of the three-dimensional multiple translative tiles

Cites Work

• Unnamed Item
• Über lückenlose Ausfüllung des \(n\)-dimensionalen Raumes durch kongruente Würfel
• Über einfache und mehrfache Bedeckung des \(n\)-dimensionalen Raumes mit einem Würfelgitter
• Algebraic Tiling
• Über Gitter konstanter Dichte