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Journal of Geometry

, Volume 99, Issue 1–2, pp 1–13 | Cite as

The Dehn invariants of the Bricard octahedra

  • Victor AlexandrovEmail author
Article

Abstract

We prove that the Dehn invariants of any Bricard octahedron remain constant during the flex and that the Strong Bellows Conjecture holds true for the Steffen flexible polyhedron.

Mathematics Subject Classification (2010)

52C25 

Keywords

Flexible polyhedron Dehn invariant scissors congruent Napier’s analogies spherical trigonometry 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.Department of PhysicsNovosibirsk State UniversityNovosibirskRussia

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