Description

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Basic Concepts and Simplest Properties of Convex Polyhedra.- Methods and Results.- Uniqueness of Polyhedra with Prescribed Development.- Existence of Polyhedra with Prescribed Development.- Gluing and Flexing Polyhedra with Boundary.- Congruence Conditions for Polyhedra with Parallel Faces.- Existence Theorems for Polyhedra with Prescribed Face Directions.- Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems.- Polyhedra with Vertices on Prescribed Rays.- Infinitesimal Rigidity of Convex Polyhedra with Stationary Development.- Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions.- Supplements.

About the Author

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A.D. Alexandrov was awarded the Stalin State Prize in 1942, the Lobachevsky prize in 1952, and the Euler Golden Medal in 1992.