Convex Polyhedra is one of the classics in geometry. There simply is no
other book with so 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 the definitive source of the classical field of
convex polyhedra and contains the available answers to the question of
the data uniquely determining 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.