Tiling space by congruent polyhedra

DOI10.1090/S0002-9904-1974-13524-XzbMath0295.50014OpenAlexW2017099991MaRDI QIDQ4048149

Sherman Stein

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1974-13524-x

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (4)

Packing and Covering by Translates of Certain Nonconvex Bodies ⋮ Filling a space by polyhedra and deformation of incomplete hyperbolic structures ⋮ A bound of k for tiling by (k,n) crosses and semi-crosses ⋮ Non-integer lattice tilings by (k,n) truncated crosses

Cites Work

• A symmetric star body that tiles but not as a lattice
• Unnamed Item

This page was built for publication: Tiling space by congruent polyhedra