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Answer by M. Winter for Number of Deformation Parameters of Simple Polyhedron...

Simple polyhedra might not be uniquely determined by the lengths of their edges, but simplicial polyhedra (all faces are triangles) are. This follows essentially from Cauchy's rigidity theorem.The...

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Number of Deformation Parameters of Simple Polyhedron Equals Number of Edges

Suppose $P$ is a simple convex polyhedron with $n$ faces. Euler's formula and the handshaking lemma tell us that the number of edges $E=3n-6$. By a deformation of $P$, I mean a polyhedron,...

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