| Description |
1 online resource (xi, 536 pages) : illustrations |
| Series |
Springer monographs in mathematics |
|
Springer monographs in mathematics.
|
| Contents |
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 |
| Summary |
"Convex Polyhedra 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 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."--Jacket |
| Bibliography |
Includes bibliographical references (pages 525-536) and index |
| In |
OhioLINK electronic book center |
|
SpringerLink |
| Subject |
Polyhedra.
|
|
Convex surfaces.
|
|
polyhedra.
|
|
MATHEMATICS -- Measurement.
|
|
Convex surfaces.
|
|
Polyhedra.
|
|
Poliedros
|
|
Superficies convexas
|
|
Convex surfaces
|
|
Polyhedra
|
| Form |
Electronic book
|
| LC no. |
2004117404 |
| ISBN |
3540231587 |
|
9783540231585 |
|
3540263403 |
|
9783540263401 |
|
6610337608 |
|
9786610337606 |
|
