Lagerungen Arrangements in the Plane, on the Sphere, and in Space /
The publication of the first edition of Lagerungen in der Ebene, auf der Kugel und im Raum in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied b...
में बचाया:
| मुख्य लेखकों: | , , |
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| निगमित लेखक: | |
| स्वरूप: | इलेक्ट्रोनिक ई-पुस्तक |
| भाषा: | अंग्रेज़ी |
| प्रकाशित: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| संस्करण: | 1st ed. 2023. |
| श्रृंखला: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
360 |
| विषय: | |
| ऑनलाइन पहुंच: | https://doi.org/10.1007/978-3-031-21800-2 |
| टैग: |
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विषय - सूची:
- Part I. Lagerungen - Arrangements in the Plane, on the Sphere, and in Space
- 1. Some Theorems from Elementary Geometry
- 2. Theorems from the Theory of Convex Bodies
- 3. Problems on Packing and Covering in the Plane
- 4. Efficiency of Packings and Coverings with a Sequence of Convex Disks
- 5. Extremal Properties of Regular Polyhedra
- 6. Irregular Packing on the Sphere
- 5. Packing in Space
- Part II. Notes and Additional Chapters to the English Edition
- 8. Notes
- 9. Finite Variations on the Isoperimetric Problem
- 10. Higher Dimensions
- 11. Ball Packings in Hyperbolic Space
- 12. Mutliple Arrangements
- 13. Neighbors
- 14. Packing and Covering Properties fo Sequences of Convex Bodies
- 15. Four Classic Problems
- 16. Miscellaneous Problems about Packing and Covering
- References for Part I
- References for Part II
- Name Index
- Subject Index.