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Matematicheskie Zametki, 2004, Volume 75, Issue 4, Pages 624–636
DOI: https://doi.org/10.4213/mzm50 (Mi mzm50) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Coxeter Decompositions of Compact Hyperbolic Pyramids and Triangular Prisms

A. A. Felikson

Independent University of Moscow
Full-text PDF (260 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm50
Abstract: A polyhedron P admits a Coxeter decomposition if P can be tiled by finitely many Coxeter polyhedra such that any two tiles having a common face are symmetric with respect to this face. In this paper, we classify Coxeter decompositions of compact convex pyramids and triangular prisms in the hyperbolic space H3.
Received: 15.01.2003
Revised: 19.05.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 4, Pages 583–593
DOI: https://doi.org/10.1023/B:MATN.0000023340.56187.bd
Bibliographic databases:
UDC: 512.817.72+514.174.5
Language: Russian
Citation: A. A. Felikson, “Coxeter Decompositions of Compact Hyperbolic Pyramids and Triangular Prisms”, Mat. Zametki, 75:4 (2004), 624–636; Math. Notes, 75:4 (2004), 583–593
Citation in format AMSBIB
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\by A.~A.~Felikson
\paper Coxeter Decompositions of Compact Hyperbolic Pyramids and Triangular Prisms
\jour Mat. Zametki
\yr 2004
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\issue 4
\pages 624--636
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\zmath{https://zbmath.org/?q=an:1060.52007}
\elib{https://elibrary.ru/item.asp?id=13989468}
\transl
\jour Math. Notes
\yr 2004
\vol 75
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\pages 583--593
\crossref{https://doi.org/10.1023/B:MATN.0000023340.56187.bd}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000221289900032}
Linking options:
  • https://www.mathnet.ru/eng/mzm50
  • https://doi.org/10.4213/mzm50
  • https://www.mathnet.ru/eng/mzm/v75/i4/p624
    • This publication is cited in the following 3 articles:
    1. Felikson, A, “On hyperbolic Coxeter n-polytopes with n+2 facets”, Advances in Geometry, 7:2 (2007), 177  crossref  mathscinet  zmath  isi  scopus
    2. Felikson, A, “Euclidean simplices generating discrete reflection groups”, European Journal of Combinatorics, 28:4 (2007), 1056  crossref  mathscinet  zmath  isi  scopus
    3. A. A. Felikson, “Lambert Cubes Generating Discrete Reflection Groups”, Math. Notes, 75:2 (2004), 250–258  mathnet  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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