A Mathematical Pandora's Box by Brian Bolt (1993).pdf

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A MATHEMATICAL
PANDORA'S BOX
Brian Bolt
CAMBRIDGE
UNIVERSITY PRESS
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridge.org/9780521446198
© Cambridge University Press 1993
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format 1993
ISBN-13 978-0-511-41360-5
ISBN-13
978-0-521-44619-8
eBook (EBL)
paperback
Cambridge University Press has no responsibility for the persistence or accuracy of urls
for external or third-party internet websites referred to in this publication, and does not
guarantee that any content on such websites is, or will remain, accurate or appropriate.
CONTENTS
Page numbers in
bold
refer to the activities,
the second page number to the commentary.
Introduction
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
A fabulous family! 9, 77
Damage limitation! 9, 77
Primeval instincts! 10, 77
Spatial perception 10, 77
Spawning coins! 10, 77
Think again! 11, 78
Matchstick machinations! 11, 78
Keep off my line! 11,78
Printing the parish magazine 12, 78
Maximise the product 12, 79
Honey bears'picnic! 13,79
Can you do better? 13,79
The Soma cube 14
Arboreal alignments! 15, 80
Telaga Buruk 15
The Japanese water garden 16, 80
Mental gymnastics! 16, 80
An isosceles dissection 16, 80
Domino magic 17, 81
The meal track 17, 81
The time trial 17, 81
Together in threes 18, 81
Symmetric years 18, 82
A circuitous guard inspection 18, 82
Crossing the lakes 19, 82
Know the time! 19, 82
Half a cube 20
Pinball pursuits 21, 83
Happy numbers! 22, 83
What is the colour of Anna's hat? 22, 84
Cubical contortions! 23, 84
Empty the glass! 23, 85
Mum's happy! 23, 85
A fascinating pentagonal array! 24, 85
Bending Euclid! 24, 86
Tetrahexagons 25, 86
Bowler of the match? 25, 87
Knight's tours! 26, 87
Ornithology! 26, 88
Skimming across the river! 27, 88

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