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Moscow Mathematical Journal, 2007, Volume 7, Number 2, Pages 265–279
DOI: https://doi.org/10.17323/1609-4514-2007-7-2-265-279 (Mi mmj283) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Closed geodesics on regular polyhedra

D. B. Fuchs, E. Fuchs

University of California, Davis
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DOI: https://doi.org/10.17323/1609-4514-2007-7-2-265-279
Abstract: We give a description of closed geodesics, both self-intersecting and non-self-intersecting, on regular tetrahedra, cubes, octahedra and icosahedra.
Key words and phrases: Regular polyhedra, closed geodesics, simple geodesics, prime geodesics.
Received: July 6, 2006
Bibliographic databases:
MSC: 53C22
Language: English
Citation: D. B. Fuchs, E. Fuchs, “Closed geodesics on regular polyhedra”, Mosc. Math. J., 7:2 (2007), 265–279
Citation in format AMSBIB
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\by D.~B.~Fuchs, E.~Fuchs
\paper Closed geodesics on regular polyhedra
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 2
\pages 265--279
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\crossref{https://doi.org/10.17323/1609-4514-2007-7-2-265-279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2337883}
\zmath{https://zbmath.org/?q=an:1129.53022}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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