The Dehn invariants of the Bricard octahedra

@article{Alexandrov2010TheDI,
  title={The Dehn invariants of the Bricard octahedra},
  author={V. Alexandrov},
  journal={Journal of Geometry},
  year={2010},
  volume={99},
  pages={1-13}
}
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. 
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SHOWING 1-10 OF 30 REFERENCES
The Volume as a Metric Invariant of Polyhedra
  • I. K. Sabitov
  • Mathematics, Computer Science
  • Discret. Comput. Geom.
  • 1998
The Rigidity of Polyhedral Surfaces
A counterexample to the rigidity conjecture for polyhedra
Flexible Octahedra in the Hyperbolic Space
The Bellows conjecture.
Local Theory of Bendings of Surfaces
The Algebra of Polyhedra and the Dehn-Sydler Theorem.
Lipschitzian mappings and total mean curvature of polyhedral surfaces. I
...
1
2
3
...