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Matematicheskie Zametki, 1970, Volume 8, Issue 4, Pages 521–527 (Mi mzm9616)  
This article is cited in 21 scientific papers (total in 24 papers)

Intersection of plane boundaries of a polytope with acute angles

E. M. Andreev

M. V. Lomonosov Moscow State University
Full-text PDF (898 kB) Citations (24)
Abstract: It is proved that the planes of nonadjacent faces of a polytope with angles not exceeding $90^\circ$ cannot intersect. It is also proved that the dimension of the intersection of any set of hyperplanes is equal to the maximum dimension of a boundary lying in this intersection.
Received: 06.08.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 4, Pages 761–764
DOI: https://doi.org/10.1007/BF01104379
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: E. M. Andreev, “Intersection of plane boundaries of a polytope with acute angles”, Mat. Zametki, 8:4 (1970), 521–527; Math. Notes, 8:4 (1970), 761–764
Citation in format AMSBIB
\Bibitem{And70}
\by E.~M.~Andreev
\paper Intersection of plane boundaries of a polytope with acute angles
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 4
\pages 521--527
\mathnet{http://mi.mathnet.ru/mzm9616}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=279680}
\zmath{https://zbmath.org/?q=an:0209.26506}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 4
\pages 761--764
\crossref{https://doi.org/10.1007/BF01104379}
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  • https://www.mathnet.ru/eng/mzm/v8/i4/p521
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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