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Algebra i Analiz, 2009, Volume 21, Issue 3, Pages 165–209 (Mi aa1144)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Junction of noncomposite polygons

A. V. Timofeenko

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
Full-text PDF (511 kB) Citations (4)
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Abstract: All 3-dimensional convex regular-hedra are found, i.e., the convex polyhedra having positive curvature of each vertex and such that every face is either a regular polygon or is composed of two regular polygons. The algorithm for constructing such solids is based on calculation of the corresponding symmetry groups and gives a listing of all possible adjoins along entire faces of convex regular-hedra that cannot be cut by any plane into smaller regular-hedra.
Received: 31.08.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 3, Pages 483–512
DOI: https://doi.org/10.1090/S1061-0022-10-01105-2
Bibliographic databases:
Document Type: Article
MSC: 52B10
Language: Russian
Citation: A. V. Timofeenko, “Junction of noncomposite polygons”, Algebra i Analiz, 21:3 (2009), 165–209; St. Petersburg Math. J., 21:3 (2010), 483–512
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
     
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