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Journal for Geometry and Graphics 27 (2023), No. 1, 039--046
Copyright Heldermann Verlag 2023

Local Geometry of Polyhedra and Cauchy’s Rigidity Theorem

Pascal Honvault
Université du Littoral Côte d'Opale, Calais, France

We give a formula that relates internal and external angles of polyhedra with some geometric applications, and apply it for a new proof of the celebrated Cauchy’s rigidity theorem.

Keywords: Local geometry, polyhedra, Cauchy’s rigidity theorem, new proof.

MSC: 52C25, 51M20.

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