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
pascal.honvault@univ-littoral.fr
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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