Uniform partitions of 3-space, their relatives and embedding

DOI10.1006/eujc.1999.0385zbMath0967.52006arXivmath/9906034OpenAlexW2026703780MaRDI QIDQ1582487

Mikhail Shtogrin, Michel Marie Deza

Publication date: 28 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9906034

zbMATH Keywords

regular polytopesuniform polytopespartitions of \(3\)-space

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Symmetry properties of polytopes (52B15)

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Cites Work

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• On scale embeddings of graphs into hypercubes
• Clin d'oeil on \(L_1\)-embeddable planar graphs
• The embedding of graphs in hypercubes and cubic lattices
• Isometric embeddings of semiregular polyhedra, tilings and their duals in hypercubes and cubic lattices
• Wythoff's Construction for Uniform Polytopes
• Geometry of cuts and metrics

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