Convex polyhedra /
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| Author / Creator: | Aleksandrov, A. D. (Aleksandr Danilovich), 1912-1999. |
|---|---|
| Uniform title: | Vypuklye mnogogranniki. English |
| Imprint: | Berlin ; New York : Springer, c2005. |
| Description: | xi, 536 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Springer monographs in mathematics Springer monographs in mathematics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5714075 |
Table of Contents:
- 1. Basic concepts and simplest properties of convex polyhedra
- 2. Methods and results
- 3. Uniqueness of polyhedra with prescribed development
- 4. Existence of polyhedra with prescribed development
- 5. Gluing and flexing polyhedra with boundary
- 6. Conditions for congruence of polyhedra with parallel faces
- 7. Existence theorems for polyhedra with prescribed face directions
- 8. Relationship between the congruence condition for polyhedra with parallel faces and other problems
- 9. Polyhedra with vertices on prescribed rays
- 10. Infinitesimal rigidity of convex polyhedra with stationary development
- 11. Infinitesimal rigidity conditions for polyhedra with prescribed face directions
- 12. Supplements.