A symmetric star body that tiles but not as a lattice

DOI10.1090/S0002-9939-1972-0319058-6zbMath0256.52005OpenAlexW2073958489MaRDI QIDQ5671315

Sherman Stein

Publication date: 1973

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-1972-0319058-6

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (11)

Polytopes that fill \(\mathbb{R}^ n\) and scissors congruence ⋮ Packing and Covering by Translates of Certain Nonconvex Bodies ⋮ Keller's conjecture for certain p-groups ⋮ On the space-filling octahedra ⋮ Tiling space by congruent polyhedra ⋮ What is known about unit cubes ⋮ A bound of k for tiling by (k,n) crosses and semi-crosses ⋮ Derived tilings ⋮ On the space-filling heptahedra ⋮ A reduction of Keller's conjecture ⋮ Non-integer lattice tilings by (k,n) truncated crosses

Cites Work

• Unnamed Item
• A star domain with densest admissible point set not a lattice
• Factoring by subsets
• Modern developments in the geometry of numbers
• Note on a theorem of Zaremba
• Covering Problems Concerning Abelian Groups

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