- Page 1: The Pursuit of Perfect Packing
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- Page 7 and 8: Contents Preface xi 1 How many swee
- Page 9: Contents ix 11 Soccer balls, golf b
- Page 14 and 15: How many sweets in the jar 3 Figure
- Page 16 and 17: Chapter 2 Loose change and tight pa
- Page 18 and 19: When equal shares are best 7 Figure
- Page 20 and 21: When equal shares are best 9 Figure
- Page 22 and 23: Regular and semi-regular packings 1
- Page 24 and 25: Disordered, quasi-ordered and fract
- Page 26 and 27: Disordered, quasi-ordered and fract
- Page 28 and 29: The Voronoï construction 17 Figure
- Page 30 and 31: The Voronoï construction 19 analys
- Page 32 and 33: Balls in bags 21 (a) (b) (c) Figure
- Page 34 and 35: A new way of looking 23 Figure 3.3.
- Page 36 and 37: Osborne Reynolds: a footprint on th
- Page 38 and 39: Ordered loose packings 27 flux inde
- Page 40 and 41: The Kepler Conjecture 29 Figure 3.5
- Page 42 and 43: The Kepler Conjecture 31 Figure 3.7
- Page 44 and 45: Marvellous clarity: the life of Kep
- Page 46 and 47: Chapter 4 Proof positive 4.1 News f
- Page 48 and 49: 4.2 The programme of Thomas Hales T
- Page 50 and 51: At last 39 4.3 At last On 10 August
- Page 52 and 53: At last 41 > - when were you first
- Page 54 and 55: The problem of proof 43 tists, who
- Page 56 and 57: Chapter 5 Peas and pips 5.1 Vegetab
- Page 58 and 59: Stephen Hales 47 Figure 5.2. Stephe
- Page 60 and 61: The improbable seed 49 Figure 5.3.
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Biological cells, lead shot and soa
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Biological cells, lead shot and soa
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The honeycomb problem 55 Figure 6.1
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What the bees do not know 57 Figure
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Chapter 7 Toils and troubles with b
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A blind man in the kingdom of the s
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Proving Plateau 63 Figure 7.4. Diff
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Minimal surfaces Foam and ether 65
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Foam and ether 67 Figure 7.6. Kelvi
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The Kelvin cell 69 (a) (b) Figure 7
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Simulated soap 71 was a great labou
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A discovery in Dublin 73 Figure 7.9
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Chapter 8 The architecture of the w
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Atoms and molecules: begging the qu
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Atoms as points 79 (a) (b) (c) Figu
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Playing hardball 81 Figure 8.5. Som
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Crystalline packings 83 the means t
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Tetrahedral packing 85 (a) (b) (c)
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Quasicrystals 87 restricted to pent
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Amorphous solids 89 struction expla
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Chapter 9 Apollonius and concrete 9
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Apollonian packing 93 coined by Ben
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Packing fraction in granular aggreg
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Chapter 10 The Giant’s Causeway 1
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The first official report 99 Figure
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Mallett’s model 101 Figure 10.3.
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Chapter 11 Soccer balls, golf balls
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Buckyballs 105 We know of no physic
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Buckminster Fuller 107 chemical sta
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The Tammes problem 109 Figure 11.4.
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Helical packings 111 Figure 11.5. C
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Chapter 12 Packings and kisses in h
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Packing in many dimensions 115 Tabl
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More kisses 117 Table 12.2. Known l
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Chapter 13 Odds and ends 13.1 Parki
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Filling boxes 121 volume tend to be
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Packing pentagons 123 Figure 13.2.
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The Malfatti problem 125 Figure 13.
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Order from shaking 127 energy—bet
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Segregation 129 Figure 13.7. Why ar
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Turning down the heat: simulated an
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Chapter 14 Conclusion We stated at
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Index 135 Faraday, M, 60 Fejes Tót