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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2007 Volume 7, Number 2, Pages 265–279 (Mi mmj283)

This article is cited in 23 papers

Closed geodesics on regular polyhedra

D. B. Fuchs, E. Fuchs

University of California, Davis

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.

MSC: 53C22

Received: July 6, 2006

Language: English

DOI: 10.17323/1609-4514-2007-7-2-265-279



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