The pursuit of perfect packing
著者
書誌事項
The pursuit of perfect packing
IOP Pub., c2000
- : hbk
- : pbk
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注記
Includes index
内容説明・目次
内容説明
In 1998 Thomas Hales dramatically announced the solution of a problem that has long teased eminent mathematicians: what is the densest possible arrangement of identical spheres? The Pursuit of Perfect Packing recounts the story of this problem and many others that have to do with packing things together. The examples are taken from mathematics, physics, biology, and engineering, including the arrangement of soap bubbles in foam, atoms in a crystal, the architecture of the bee's honeycomb, and the structure of the Giant's Causeway. Using an informal style and with key references, the book also includes brief accounts of the lives of many of the scientists who devoted themselves to problems of packing over many centuries, together with wry comments on their efforts. It is an entertaining introduction to the field for both specialists and the more general public.
目次
How many sweets in the jar? Loose change and tight packing. Hard problems with hard spheres. Proof positive? Peas and pips. Enthusiastic admiration: the honeycomb. Toils and troubles with bubbles. The architecture of the world of atoms. Apollonius and concrete. The Giant's Causeway. Soccer balls, golfballs and buckyballs. Packings and kisses in high dimensions. Odds and ends. Conclusion. Index.
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