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The theory of quality translations with applications to tilings

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Publication:1357269
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DOI10.1006/eujc.1996.0107zbMath0881.52015OpenAlexW1969020833MaRDI QIDQ1357269

S. S. Ryshkov, K. A. jun. Rybnikov

Publication date: 27 July 1997

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

Full work available at URL: https://doi.org/10.1006/eujc.1996.0107


zbMATH Keywords

tilingstranslationsframeworksMaxwell's theoremsimply connected complexes


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Discrete geometry (52C99) PL-topology (57Q99)


Related Items (9)

An analog of Ordin’s theorem for parallelotopes ⋮ Geometry of lifts of tilings of Euclidean spaces ⋮ An upper bound for a valence of a face in a parallelohedral tiling ⋮ Totally frustrated states in the chromatic theory of gain graphs ⋮ Uniquely scaled dual cells ⋮ Properties of parallelotopes equivalent to Voronoi's conjecture ⋮ The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces ⋮ Zonotopes, dicings, and Voronoi's conjecture on parallelohedra ⋮ Fullerenes and disk-fullerenes




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