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math-ph2003★ 23 cited
Rhombic embeddings of planar graphs with faces of degree 4
Richard Kenyon, Jean-Marc Schlenker
Given a finite or infinite planar graph all of whose faces have degree 4, we study embeddings in the plane in which all edges have length 1, that is, in which every face is a rhomb…
math.DG2003
A rigidity criterion for non-convex polyhedra
Jean-Marc Schlenker
Let be a (non necessarily convex) embedded polyhedron in , with its vertices on an ellipsoid. Suppose that the interior of can be decomposed into convex polytopes wit…