The pursuit of perfect packing:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bristol [u.a.]
Institute of Physics Publ.
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 136 Seiten Ill., graph. Darst. |
| ISBN: | 0750306483 0750306475 |
Internformat
MARC
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| 245 | 1 | 0 | |a The pursuit of perfect packing |c Tomaso Aste & Denis Weaire |
| 264 | 1 | |a Bristol [u.a.] |b Institute of Physics Publ. |c 2000 | |
| 300 | |a XI, 136 Seiten |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 4 | |a Combinatorial packing and covering | |
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Datensatz im Suchindex
| _version_ | 1804128566376398848 |
|---|---|
| adam_text | Contents
Preface xi
1 How many sweets in the jar? 1
2 Loose change and tight packing 5
2.1 A handful of coins 5
2.2 When equal shares are best 6
2.3 Regular and semi regular packings 11
2.4 Disordered, quasi ordered and fractal packings 13
2.5 The Voronoi construction 16
3 Hard problems with hard spheres 20
3.1 The greengrocer s dilemma 20
3.2 Balls in bags 20
3.3 A new way of looking 22
3.4 How many balls in the bag? 24
3.5 Osborne Reynolds: a footprint on the sand 24
3.6 Ordered loose packings 27
3.7 Ordered close packing 27
3.8 The Kepler Conjecture 29
3.9 Marvellous clarity: the life of Kepler 32
3.10 Progress by leaps and bounds? 34
4 Proof positive? 35
4.1 News from the Western Front 35
4.2 The programme of Thomas Hales 37
4.3 At last? 39
4.4 Who cares? 42
4.5 The problem of proof 43
4.6 The power of thought 44
viii Contents
5 Peas and pips 45
5.1 Vegetable staticks 45
5.2 Stephen Hales 47
5.3 Pomegranate pips 48
5.4 The improbable seed 48
5.5 Biological cells, lead shot and soap bubbles 50
6 Enthusiastic admiration: the honeycomb 54
6.1 The honeycomb problem 54
6.2 What the bees do not know 56
7 Toils and troubles with bubbles 59
7.1 Playing with bubbles 59
7.2 A blind man in the kingdom of the sighted 60
7.3 Proving Plateau 63
7.4 Foam and ether 65
7.5 The Kelvin cell 68
7.6 The twinkling of an eye 70
7.7 Simulated soap 71
7.8 A discovery in Dublin 72
8 The architecture of the world of atoms 75
8.1 Molecular tactics 75
8.2 Atoms and molecules: begging the question 77
8.3 Atoms as points 78
8.4 Playing hardball 80
8.5 Modern crystallography 82
8.6 Crystalline packings 83
8.7 Tetrahedral packing 85
8.8 Quasicrystals 87
8.9 Amorphous solids 89
8.10 Crystal nonsense 90
9 Apollonius and concrete 91
9.1 Mixing concrete 91
9.2 Apollonian packing 93
9.3 Packing fraction and fractal dimension 94
9.4 Packing fraction in granular aggregate 95
10 The Giant s Causeway 97
10.1 Worth seeing? 97
10.2 Idealization oversteps again 98
10.3 The first official report
10.4 Mallett s model 101
10.5 A modern view 102
10.6 Lost city? 102
Contents ix
11 Soccer balls, golf balls and buckyballs 103
11.1 Soccer balls 103
11.2 Golf balls 103
11.3 Buckyballs 105
11.4 Buckminster Fuller 107
11.5 The Thomson problem 107
11.6 The Tammes problem 108
11.7 Helical packings 110
12 Packings and kisses in high dimensions 113
12.1 Packing in many dimensions 113
12.2 A kissing competition 116
12.3 More kisses 117
13 Odds and ends 119
13.1 Parking cars 119
13.2 Stuffing sausages 120
13.3 Filling boxes 121
13.4 Goldberg variations 122
13.5 Packing pentagons 123
13.6 Dodecahedral packing and curved spaces 124
13.7 The Malfatti problem 125
13.8 Microspheres and opals 126
13.9 Order from shaking 127
13.10 Segregation 129
13.11 Turning down the heat: simulated annealing 130
14 Conclusion 133
Index 134
|
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| id | DE-604.BV013746048 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:51:17Z |
| institution | BVB |
| isbn | 0750306483 0750306475 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009396957 |
| oclc_num | 44162506 |
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| owner | DE-703 DE-188 |
| owner_facet | DE-703 DE-188 |
| physical | XI, 136 Seiten Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Institute of Physics Publ. |
| record_format | marc |
| spelling | Aste, Tomaso Verfasser aut The pursuit of perfect packing Tomaso Aste & Denis Weaire Bristol [u.a.] Institute of Physics Publ. 2000 XI, 136 Seiten Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Overdekkingen (wiskunde) gtt Wiskunde gtt Mathematik Combinatorial packing and covering Packungsproblem (DE-588)4173057-4 gnd rswk-swf Packungsproblem (DE-588)4173057-4 s 1\p DE-604 Weaire, Denis Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009396957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aste, Tomaso Weaire, Denis The pursuit of perfect packing Overdekkingen (wiskunde) gtt Wiskunde gtt Mathematik Combinatorial packing and covering Packungsproblem (DE-588)4173057-4 gnd |
| subject_GND | (DE-588)4173057-4 |
| title | The pursuit of perfect packing |
| title_auth | The pursuit of perfect packing |
| title_exact_search | The pursuit of perfect packing |
| title_full | The pursuit of perfect packing Tomaso Aste & Denis Weaire |
| title_fullStr | The pursuit of perfect packing Tomaso Aste & Denis Weaire |
| title_full_unstemmed | The pursuit of perfect packing Tomaso Aste & Denis Weaire |
| title_short | The pursuit of perfect packing |
| title_sort | the pursuit of perfect packing |
| topic | Overdekkingen (wiskunde) gtt Wiskunde gtt Mathematik Combinatorial packing and covering Packungsproblem (DE-588)4173057-4 gnd |
| topic_facet | Overdekkingen (wiskunde) Wiskunde Mathematik Combinatorial packing and covering Packungsproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009396957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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