volume 33, issue 2, P207-221 2004
DOI: 10.1007/s00454-004-1102-x
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Abstract: Let P be a (non-necessarily convex) embedded polyhedron in R 3 , with its vertices on the boundary of an ellipsoid. Suppose that the interior of P can be decomposed into convex polytopes without adding any vertex. Then P is infinitesimally rigid. More generally, let P be a polyhedron bounding a domain which is the union of polytopes C 1 , . . . , C n with disjoint interiors, whose vertices are the vertices of P. Suppose that there exists an ellipsoid which contains no vertex of P but intersects all the edges …

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