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Der Starrheitssatz und die Deltaeder

by Weißbach, B..

Series: 2002-30, Preprints

51M04 Elementary problems in Euclidean geometries
51M20 Polyhedra and polytopes; regular figures, division of spaces
52C25 Rigidity and flexibility of structures

We consider the simplest types of convex polyhedra with all faces congruent to a certain triangle. In the course of the proof we show that Cauchy's rigidity theorem is often formulated incorrectly in the literature.

Rigidity Theorem, Deltahedra