A Local Characterization of Combinatorial Multihedrality in Tilings

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dc.creatorDolbilin, Nikolai
dc.creatorSchulte, Egon
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:43Z
dc.date.available2026-07-07T10:02:43Z
dc.descriptionA locally finite face-to-face tiling of euclidean d-space by convex polytopes is called combinatorially multihedral if its combinatorial automorphism group has only finitely many orbits on the tiles. The paper describes a local characterization of combinatorially multihedral tilings in terms of centered coronas. This generalizes the Local Theorem for Monotypic Tilings, established in an earlier paper, which characterizes the case of combinatorial tile-transitivity.
dc.description10 pages (to appear in Contributions to Discrete Mathematics)
dc.identifierhttps://arxiv.org/abs/0809.2291
dc.identifierhttp://arxiv.org/abs/0809.2291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169075
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject52C22; 05B45
dc.titleA Local Characterization of Combinatorial Multihedrality in Tilings
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