Least action principle of crystal formation of dense packing type and the proof of Kepler's conjecture [[electronic resource] /] / Hsiang, Wu-Yi
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| Autore: |
Hsiang Wu Yi <1937->
|
| Titolo: |
Least action principle of crystal formation of dense packing type and the proof of Kepler's conjecture [[electronic resource] /] / Hsiang, Wu-Yi
|
| Pubblicazione: | Singapore ; ; River Edge, NJ, : World Scientific, 2001 |
| Edizione: | 1st ed. |
| Descrizione fisica: | 1 online resource (425 p.) |
| Disciplina: | 511/.6 |
| 516 | |
| Soggetto topico: | Kepler's conjecture |
| Sphere packings | |
| Crystallography, Mathematical | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | Contents; Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index |
| Sommario/riassunto: | The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal ""known density"" of p/v18. In 1611, Johannes Kepler had already ""conjectured"" that p/v18 should be the optimal ""density"" of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that p/v18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of |
| Titolo autorizzato: | Least action principle of crystal formation of dense packing type and the proof of Kepler's conjecture |
| ISBN: | 1-281-86970-8 |
| 9786611869700 | |
| 981-238-491-X | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910810478703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Nankai tracts in mathematics