Facet-to-facet implies face-to-face

DOI10.1016/S0195-6698(89)80035-6zbMath0664.52011OpenAlexW1980348369MaRDI QIDQ1114937

S. S. Ryshkov, Peter M. Gruber

Publication date: 1989

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(89)80035-6

zbMATH Keywords

cell complexfacet-to-facetconvex tilingDelone-triangulationsDirichlet- Voronoi tilingsface-to-face

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of tessellation and tiling problems (05B45) PL-topology (57Q99) Polytopes and polyhedra (52Bxx)

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Minimum-cardinality triangulations of the \(d\)-cube for \(d=5\) and \(d=6\), A generalization of Voronoi's reduction theory and its application

Cites Work

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• Tilings with congruent tiles