Cover
Title
Copyright
CONTENTS
PREFACE
1 Make a folding tetrahedron
2 Six pyramids make a cube
3 Three pyramids make a cube
4 The Shinsei Mystery
5 The car jam
6 The flight controller's nightmare
7 The vanishing act
8 Mystifying matchsticks
9 Calculator cricket
10 Generating straight-line motion
11 Make a mobile to defy gravity
12 The triangular building site
13 Ring the triangle
14 K9 or One man and his dog
15 The anti-litter campaign
16 The railcar terminus
17 Paving the patio
18 Make a twistable tetrahedral torus
19 Seeing is believing!
20 Spot the pattern
21 Investigations on a 5×5 pinboard
22 Chess board tours
23 Mind stretching
24 One step forward, march!
25 Coin magic
26 The persistent frog
27 Tidy that bookshelf!
28 Square a Greek cross
29 The fuel delivery
30 Fair shares
31 Move a queen
32 Rolling cubes
33 Make yourself a harmonograph
The paving slab harmonograph
The broom handle harmonograph
A Meccano harmonograph
34 Make a matchbox computer
35 More matchstick mindbenders
36 Tails up!
37 Dovetailed
38 Impossible rotations!
39 Problems of single line working
40 Solitaire
41 All change
42 Pegs progress
43 Pinboard triangles
44 Rigid structures in two dimensions
45 Rigid structures in three dimensions
46 A lover's ultimatum!
47 Only four lines!
48 Dividing the inheritance
49 Triangulating a square
50 Who is 'it'?
51 Find the cards on the table
52 Reafforestation!
53 The rolling cube game
54 Two at a time
55 The prisoner's perambulations
56 Crossed lines
57 Bridging the river
58 Crossing the desert
59 Can you help the motorway designer?
60 Who nobbled the racehorse?
61 Court card capers
62 Heads and tails
63 The chapel hymnboard
64 Find the radius of the circle
65 As easy as ABC
66 Fill the corners
67 The end of the world!
68 How many will you take?
69 Envelopes of curves
70 Four more ways to form an ellipse
71 Parabolas
72 The snowflake curves
73 The staircase paradox
74 Historical estimates for pi
75 What was the sum?
76 Prelude to a marathon
77 Dr Numerati's telephone number
78 A magic diamond
79 Palindromic dates
80 The sponsored marathon
81 A calculator crossword
82 Variable based triangles
83 Multiplying by three
84 The hydrocarbons
85 Designing a new dartboard
86 The car importer
87 Look before you leap!
88 Find the digits
89 The effect of inflation
90 Octogenarian occupations
91 Prime factors
92 Remove a rectangle
93 Subtraction to addition
94 A Russian two-step
95 Magic squares revisited
96 Do you know your birthday?
97 What scores are possible?
98 The elusive digit
99 Chains of cube sums
100 Prime magic
101 Surprise, surprise!
102 Identical twins, quads and triplets
103 Squares and cubes
104 Calculator golf
105 Fox and geese
106 All present
107 Postage due
108 Ann's tower
109 Reconstructing the manor house
110 The blanket box
111 Three in a line
112 Topsy-turvy
113 Divisibility
114 Calculator challenges
115 The Giant and the Dwarfs
116 Rhyme around
117 The Ruby wedding
118 The medieval courtyard
119 Fill the gaps
120 Find the route
121 501 up!
122 One, two, three, four, five…
123 Crossed ladders
124 Target
125 One and zeros
126 A cautionary tale
127 Another calculator crossword
COMMENTARY
5 The car jam
6 The flight controller's nightmare
7 The vanishing act
8 Mystifying matchsticks
9 Calculator cricket
10 Generating straight-line motion
11 Make a mobile to defy gravity
12 The triangular building site
13 Ring the triangle
14 K9 or One man and his dog
15 The anti-litter campaign
16 The railcar terminus
17 Paving the patio
18 Make a twistable tetrahedral torus
20 Spot the pattern
21 Investigations on a 5x5 pinboard
22 Chess board tours
Rook's tours
Queen's tours
Bishop's tours
23 Mind stretching
24 One step forward, march!
25 Coin magic
27 Tidy that bookshelf!
28 Square a Greek cross
29 The fuel delivery
30 Fair shares
31 Move a queen
32 Rolling cubes
33 Make yourself a harmonograph
34 Make a matchbox computer
35 More matchstick mindbenders
36 Tails up!
37 Dovetailed
38 Impossible rotations!
39 Problems of single line working
40 Solitaire
41 All change
42 Pegs progress
43 Pinboard triangles
44 Rigid structures in two dimensions
45 Rigid structures in three dimensions
46 A lover's ultimatum!
47 Only four lines!
48 Dividing the inheritance
49 Triangulating a square
50 Who is 'it'?
51 Find the cards on the table
52 Reafforestation!
53 The rolling cube game
54 Two at a time
55 The prisoner's perambulations
56 Crossed lines
57 Bridging the river
58 Crossing the desert
59 Can you help the motorway designer?
60 Who nobbled the racehorse?
61 Court card capers
62 Heads and tails
63 The chapel hymnboard
64 Find the radius of the circle
65 As easy as ABC
66 Fill the corners
67 The end of the world!
68 How many will you take?
69 Envelopes of curves
70 Four more ways to form an ellipse
71 Parabolas
72 The snowflake curves
73 The staircase paradox
74 Historical estimates for pi
75 What was the sum?
76 Prelude to a marathon
77 Dr Numerati's telephone number
78 A magic diamond
79 Palindromic dates
80 The sponsored marathon
81 A calculator crossword
83 Multiplying by three
84 The hydrocarbons
85 Designing a new dartboard
86 The car importer
87 Look before you leap!
88 Find the digits
89 The effect of inflation
90 Octogenarian occupations
91 Prime factors
92 Remove a rectangle
93 Subtraction to addition
94 A Russian two-step
95 Magic squares revisited
96 Do you know your birthday?
97 What scores are possible?
98 The elusive digit
99 Chains of cube sums
100 Prime magic
101 Surprise, surprise!
102 Identical twins, quads and triplets
103 Squares and cubes
104 Calculator golf
106 All present
107 Postage due
108 Ann's tower
109 Reconstructing the manor house
110 The blanket box
112 Topsy-turvy
113 Divisibility
114 Calculator challenges
115 The Giant and the Dwarfs
116 Rhyme around
117 The Ruby wedding
118 The medieval courtyard
119 Fill the gaps
120 Find the route
121 501 up!
122 One, two, three, four, five…
123 Crossed ladders
124 Target
125 One and zeros
126 A cautionary tale
127 Another calculator crossword
FURTHER RESOURCES
Books
Magazines
Games
INDEX