The pursuit of perfect packing:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Taylor & Francis
2008
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIII, 200 S. Ill., graph. Darst. 24 cm |
| ISBN: | 1420068172 9781420068177 |
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MARC
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| 245 | 1 | 0 | |a The pursuit of perfect packing |c Tomaso Aste ; Denis Weaire |
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| 264 | 1 | |a New York, NY [u.a.] |b Taylor & Francis |c 2008 | |
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
THE PURSUIT OF
PERFECT PACKING S E C O ND E D I T I ON
TOMASO ASTE AUSTRALIAN NATIONAL UNIVERSITY CANBERRA, AUSTRALIA
DENIS WEAIRE
TRINITY COLLEGE DUBLIN, IRELAND
TAYLOR & FRANCIS TAYLOR & FRANCIS GROUP NEW YORK LONDON
TAYLOR & FRANCIS IS AN IMPRINT OF THE TAYLOR. & FRANCIS CROUP, AN
INFORMA BUSINESS
IMAGE 2
CONTENTS
PREFACE TO FIRST EDITION XI
PREFACE TO SECOND EDITION XIII
1 HOW MANY SWEETS IN THE JAR? 1
2 LOOSE CHANGE AND TIGHT PACKING 5
2.1 A TEASING BUT TRACTABLE PROBLEM 5
2.2 A HANDFUL OF COINS 5
2.3 ORDER AND DISORDER 8
3 HARD PROBLEMS WITH HARD SPHERES 11
3.1 THE GREENGROCER S DILEMMA 11
3.2 ORDERED CLOSE PACKING-THE KEPLER PROBLEM 11
3.3 THE KEPLER CONJECTURE 14
3.4 MARVELOUS CLARITY, NEUROTIC ANXIETY: THE LIFE OF KEPLER 16 3.5
PROGRESS BY LEAPS AND BOUNDS? 18
4 PROOF POSITIVE? 21
4.1 NEWS FROM THE WESTERN FRONT 21
4.2 THE PROGRAMME OF THOMAS HALES 23
4.3 AT LAST? 25
4.4 POLISHING OFF THE PROGRAMME 29
4.5 THE ACCEPTANCE OF PROOF 30
4.6 THE FLYSPECK PROJECT 32
4.7 WHO CARES? 33
4.8 THE POWER OF THOUGHT 33
5 DISORDERED PACKINGS 35
5.1 BALLS IN BAGS 35
5.2 A NEW WAY OF LOOKING 37
IMAGE 3
VIII * CONTENTS
5.3 HOW MANY BALLS IN THE BAG? 38
5.4 IS THE BERNAL CLOSE PACKING WELL DEFINED? 39
5.5 BERNAL S LONG-RUNNING BALL GAME 39
5.6 TOMOGRAPHY TAKES OVER 40
6 SANDS AND GRAINS 43
6.1 GRANULAR MATERIALS 43
6.2 OSBORNE REYNOLDS: A FOOTPRINT IN THE SAND 44
6.3 MAJOR BAGNOLD S DESERT DRIVE 47
6.4 DUNES 49
6.5 ORDER FROM SHAKING 51
6.6 SEGREGATION 53
6.7 GRANULAR TEMPERATURE 55
7 DIVIDE AND CONQUER: TILING SPACE 57
7.1 PACKING AND TILING 57
7.2 THE VORONOI CONSTRUCTION 58
7.3 THE DUAL CONSTRUCTION OF DELAUNAY : 60
7.4 APPLICATIONS 60
7.5 VERTICES IN TILINGS 6L
7.6 THREE DIMENSIONS 6L
7.7 REGULAR AND SEMIREGULAR PACKINGS 62
8 PEAS AND PIPS 67
8.1 VEGETABLE STATICKS 67
8.2 STEPHEN HALES 69
8.3 POMEGRANATE PIPS 70
8.4 BIOLOGICAL CELLS, LEAD SHOT, RUBBER BALLS, AND SOAP BUBBLES: PLUS GA
CHANGE 71
9 ENTHUSIASTIC ADMIRATION: THE HONEYCOMB 75
9-1 THE HONEYCOMB PROBLEM 75
9.2 WHAT THE BEES DO NOT KNOW 78
10 A SEARCH FOR STRUCTURE 81
10.1 A VOICE IN THE WILDERNESS ! 81
10.2 THE TWO-DIMENSIONAL SOAP FROTH 82
10.3 THE RULES OF THE GAME 83
10.4 IN A CAMBRIDGE GARDEN 85
11 TOILS AND TROUBLES WITH BUBBLES 87
11.1 PLAYING WITH BUBBLES 87
11.2 A BLIND MAN IN THE KINGDOM OF THE SIGHTED 88
11.3 PROVING PLATEAU 91
11.4 FOAM AND ETHER 93
IMAGE 4
CONTENTS * IX
11.5 THE KELVIN CELL 97
11.6 MOST BEAUTIFUL AND REGULAR 98
11.7 THE TWINKLING OF AN EYE 99
11.8 SIMULATED SOAP 100
11.9 A DISCOVERY IN DUBLIN 101
11.10 CRYSTALS OF SMALL BUBBLES 104
12 BUBBLES IN BEIJING 107
12.1 AN OLYMPIAN VISION 107
12.2 FUN AND FIT FOR PURPOSE? 107
12.3 A FLEXIBLE FRIEND? 108
13 THE ARCHITECTURE OF THE WORLD OF ATOMS I LL
131 MOLECULAR TACTICS I LL
132 ATOMS AND MOLECULES: BEGGING THE QUESTION 113
133 ATOMS AS POINTS 115
134 PLAYING HARDBALL 116
135 MODERN CRYSTALLOGRAPHY 120
13.6 CRYSTALLINE PACKINGS 121
137 PACKING TETRAHEDRA 123
13.8 CHANGED UTTERLY: QUASICRYSTALS 125
139 AMORPHOUS SOLIDS 128
13.10 CRYSTAL NONSENSE 129
14 APOLLONIUS AND CONCRETE 131
14.1 MIXING CONCRETE 131
14.2 APOLLONIAN PACKING 132
14.3 PACKING FRACTION AND FRACTAL DIMENSION 136
14.4 PACKING FRACTION IN GRANULAR AGGREGATES 136
15 PACKINGS AND KISSES IN HIGH DIMENSIONS 139
15.1 PACKING IN MANY DIMENSIONS 139
15.2 A KISSING COMPETITION 143
153 KISSING THE NEIGHBORS IN HIGHER DIMENSIONS 143
15.4 WILL DISORDER WIN IN THE END? 144
16 THE SWEETS IN THE JAR, THE PEBBLES ON THE BEACH 147
16.1 THOSE SWEETS 147
16.2 HEY, WHAT SHAPE DO YOU WANT YOUR ICE CUBES? 148 16.3 ANOTHER WALK
ON THE BEACH 148
17 THE GIANT S CAUSEWAY 151
17.1 WORTH SEEING? 151
17.2 IDEALIZATION OVERSTEPS AGAIN 152
IMAGE 5
CONTENTS
17.3 THE FIRST OFFICIAL REPORT 153
17.4 MALLETT S MODEL 155
17.5 A MODERN VIEW 156
17.6 THE LAST WORD? 156
17.7 LOST CITY? 157
18 FINITE PACKINGS AND TESSELLATIONS, FROM SOCCER TO SAUSAGES 159
18.1 THE CHALLENGE OF A FINITE SUITCASE 159
18.2 SOCCER BALLS - 159
18.3 GOLF BALLS 160
18.4 BUCKYBALLS L6L
18.5 BUCKMINSTER FULLER 163
18.6 GRAPHENES 164
18.7 THE THOMSON PROBLEM 164
18.8 PACKING POINTS ON A DISK 167
18.9 THE TAMMES PROBLEM 168
18.10 UNIVERSAL OPTIMAL CONFIGURATIONS 169
18.11 HELICAL PACKINGS 170
. . 18.12 VIRUS ARCHITECTURE 171
18.13 STUFFING SAUSAGES 173
18.14 FILLING BOXES 174
18.15 THE MALFATTI PROBLEM 176
19 ODDS AND ENDS 179
19.1 ORDERED LOOSE PACKINGS 179
192 PARKING CARS 179
19.3 GOLDBERG VARIATIONS 181
19.4 PACKING REGULAR PENTAGONS 182
19.5 DODECAHEDRAL PACKING AND CURVED SPACES 182
19-6 MICROSPHERES AND OPALS 184
19.7 PROTEIN FOLDING 186
19.8 THE TETRA PAK STORY 186
199 PACKING REGULAR TETRAHEDRA 188
19.10 NATURE AND GEOMETRY 189
APPENDIX A THE BEST PACKING IN TWO DIMENSIONS 191
A.I WHEN EQUAL SHARES ARE BEST 191
APPENDIX B TURNING DOWN THE HEAT: SIMULATED ANNEALING 195
INDEX : 197
|
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| author | Aste, Tomaso Weaire, Denis L. |
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| discipline | Physik Mathematik |
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| id | DE-604.BV036882866 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:50:06Z |
| institution | BVB |
| isbn | 1420068172 9781420068177 |
| language | English |
| lccn | 2007044016 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020798204 |
| oclc_num | 706852543 |
| open_access_boolean | 1 |
| owner | DE-91G DE-BY-TUM DE-29T DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-83 |
| physical | XIII, 200 S. Ill., graph. Darst. 24 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Taylor & Francis |
| record_format | marc |
| spelling | Aste, Tomaso Verfasser aut The pursuit of perfect packing Tomaso Aste ; Denis Weaire 2. ed. New York, NY [u.a.] Taylor & Francis 2008 XIII, 200 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Packungsproblem (DE-588)4173057-4 gnd rswk-swf Packungsproblem (DE-588)4173057-4 s DE-604 Weaire, Denis L. Verfasser aut DE-601 pdf/application http://www.zentralblatt-math.org/zmath/en/search/?an=1159.52019 Zentralblatt MATH kostenfrei Inhaltstext GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020798204&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aste, Tomaso Weaire, Denis L. The pursuit of perfect packing 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 | Packungsproblem (DE-588)4173057-4 gnd |
| topic_facet | Packungsproblem |
| url | http://www.zentralblatt-math.org/zmath/en/search/?an=1159.52019 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020798204&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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