Symmetric geodesics on cubes: Algorithms for finding them
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V. A. Zalgaller
Translated by: N. Yu. Netsvetaev - St. Petersburg Math. J. 16 (2005), 423-436
- DOI: https://doi.org/10.1090/S1061-0022-05-00859-9
- Published electronically: March 10, 2005
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Abstract:
An algorithm is presented for finding simple closed symmetric geodesics on the boundary of an $n$-cube.References
- V. A. Zalgaller, Symmetric geodesics on cubes of low dimensions, Algebra i Analiz 14 (2002), no. 5, 202–239 (Russian); English transl., St. Petersburg Math. J. 14 (2003), no. 5, 857–886. MR 1970340
- Peter Scott, The geometries of $3$-manifolds, Bull. London Math. Soc. 15 (1983), no. 5, 401–487. MR 705527, DOI 10.1112/blms/15.5.401
Bibliographic Information
- V. A. Zalgaller
- Email: zalg@tarunz.org
- Received by editor(s): April 23, 2003
- Published electronically: March 10, 2005
- © Copyright 2005 American Mathematical Society
- Journal: St. Petersburg Math. J. 16 (2005), 423-436
- MSC (2000): Primary 51M20, 52B05, 52B15
- DOI: https://doi.org/10.1090/S1061-0022-05-00859-9
- MathSciNet review: 2068348