Convex polyhedra

A.D. Alexandrov, N.S. Dairbekov, S.S. Kutateladze, A.B. Sossinsky3540231587, 9783540231585, 9783540263401

Convex Polyhedra belongs to the classics in geometry. There simply is no other book that deals with many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is a definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data that could uniquely determine a convex polyhedron. This question concerns all data pertinent to a polyhedron, e.g. the lengths of edges, areas of faces, etc.

This vital and clearly written book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. It is a wonderful source of ideas for students.

The English edition includes numerous comments as well as added material and a comprehensive bibliography by V.A. Zalgaller to bring the work up to date. Moreover, related papers by L.A.Shor and Yu.A.Volkov have been added as supplements to this book.