Paper Puzzle Book, The: All You Need Is Paper!
264
Paper Puzzle Book, The: All You Need Is Paper!
264Hardcover
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Overview
European Mathematical Society ALL YOU NEED IS PAPER! All the puzzles inside are made out of paper — from simple teasers to extreme brain workouts!ORIGINAL DESIGNS Co-developed by a mathematician, an origami artist and a mechanical puzzle maker, this inventive book provides a unique and invaluable collection of a large, comprehensive and diverse variety of paper puzzles. And they only require a sheet of paper and perhaps a pair of scissors!EASY TO CHALLENGING There are 99 unique puzzles including paper strip puzzles, Möbius strips and flexagons, two-dimensional sheet folding, 'fold-and-cut' puzzles, 3D dissections and constructions, sequence folding puzzles, origami puzzles and even paper toys and magic. PROVIDES HOURS OF FUN Anyone of any age can find hours of enjoyment and challenge!LEARNING GEOMETRY, MATHEMATICS AND PROBLEM-SOLVING CHALLENGES CAN BE FUN! For students and teachers; parents and children; amateur and skilled mathematicians, and puzzle lovers.LEARN CONCEPTS AS YOU GO! Many of the puzzles are new and original, they complement the classic puzzles that are included and all of them come with a solution as well as a mathematical and geometrical explanation that can be easily understood by all. The layout of the book, with its extensive puzzles, solutions and detailed descriptions, make it a sure candidate as the paper puzzle 'bible' for enthusiasts and puzzle lovers everywhere.
Product Details
| ISBN-13: | 9789813202405 |
|---|---|
| Publisher: | World Scientific Publishing Company, Incorporated |
| Publication date: | 03/08/2018 |
| Pages: | 264 |
| Product dimensions: | 7.20(w) x 10.10(h) x 0.80(d) |
Table of Contents
Introduction v
Preface vii
How to Use This Book xix
1 Just Folding 1
1.1 Square to Equilateral Triangle 1
1.2 Square to Largest Possible Equilateral Triangle 2
1.3 Rectangle to Regular Hexagon 2
1.4 Square to Regular Hexagon 3
1.5 Fold an Ellipse 3
1.6 Corners Converging on a Point 4
1.7 An Uncreased Square from A4 6
1.8 An Uncreased 1: √2 Rectangle from a Square 7
1.9 Quadrisecting Rectangles into Triangles 8
1.10 Quadrisecting Rectangles into Rectangles 8
1.11 Quadrisecting Rectangles into Rectangles - Three Folds 9
1.12 Bisecting Triangles 9
1.13 Bisecting Hexagons 10
1.14 Folded Letter 11
1.15 Generalized Folded Letter 11
1.16 Inverse Folded Letter 12
Solutions 13
1.1 Square to Equilateral Triangle 13
1.2 Square to Largest Possible Equilateral Triangle 14
1.3 Rectangle to Regular Hexagon 16
1.4 Square to Regular Hexagon 19
1.5 Fold an Ellipse 21
1.6 Corners Converging on a Point 25
1.7 An Uncreased Square from A4 27
1.8 An Uncreased 1: √2 Rectangle from a Square 29
1.9 Quadrisecting Rectangles into Triangles 30
1.10 Quadrisecting Rectangles into Rectangles 32
1.11 Quadrisecting Rectangles into Rectangles - Three Folds 36
1.12 Bisecting Triangles 37
1.13 Bisecting Hexagons 39
1.14 Folded Letter 43
1.15 Generalized Folded Letter 43
1.16 Inverse Folded Letter 45
2 Origami Puzzles 47
2.1 Black and White 47
2.2 Oversize Black and White 48
2.3 Rectangular Black and White 49
2.4 Stripes 50
2.5 Checkerboards 51
2.6 Cell Patterns in a Grid 52
2.7 Origami Tangram 55
2.8 Origami Windmill Base 56
2.9 Origami Windmill Base Shapes 57
2.10 Origami Inside Out ISO Shapes 60
2.11 The Square Puzzle 61
2.12 Origami Hearts and a Square 62
2.13 Kami Alphabet 63
Solutions 64
2.1 Black and White 64
2.2 Oversize Black and White 66
2.3 Rectangular Black and White 68
2.4 Stripes 68
2.5 Checkerboards 72
2.6 Cell Patterns in a Grid 73
2.7 Origami Tangram 75
2.8 Origami Windmill Base 76
2.9 Origami Windmill Base Shapes 77
2.10 Origami Inside Out ISO Shapes 78
2.11 The Square Puzzle 81
2.12 Origami Hearts and a Square 81
2.13 Kami Alphabet 82
3 3D Folding Puzzles 85
3.1 Seven-Squared Net 85
3.2 Maximum Cube to Wrap 86
3.3 A Cube from Eight Squares 87
3.4 The Russian Cube 88
3.5 Join the Squares 90
3.6 Closed Polyhedron from a Square 91
3.7 Corners to Tetrahedron 92
Solutions 93
3.1 Seven-Squared Net 93
3.2 Maximum Cube to Wrap 94
3.3 A Cube from Eight Squares 95
3.4 The Russian Cube 98
3.5 Join the Squares 98
3.6 Closed Polyhedron from a Square 100
3.7 Corners to Tetrahedron 103
4 Sequence Folding 109
4.1 1, 2, 3, 4 on a Square 110
4.2 The Eight Postage Stamps 110
4.3 Complico Puzzle 111
4.4 The Rascals to the Prison 112
4.5 Folding Frame 113
4.6 Three Vertical Cuts 114
4.7 The H Cut 115
4.8 Self-Designing Tetraflexagon 116
Solutions 117
4.1 1, 2, 3, 4 on a Square 117
4.2 The Eight Postage Stamps 117
4.3 Complico Puzzle 118
4.4 The Rascals to the Prison 121
4.5 Folding Frame 122
4.6 Three Vertical Cuts 125
4.7 The H Cut 129
4.8 Self-Designing Tetraflexagon 130
5 Strips of Paper 133
5.1 Möbius Center Cut 134
5.2 Möbius Near-Edge Cut 134
5.3 Double Möbius 135
5.4 Two Perpendicular Bands 136
5.5 Perpendicular Band and Möbius Band 137
5.6 Two Perpendicular Möbius Bands 138
5.7 Band and S Strip 139
5.8 Strip to Pentagon 139
5.9 Strip to Hexagon 140
5.10 Knotted Strip 140
5.11 Strip to Cube 141
5.12 Strips to Star of David 141
Solutions 142
5.1 Möbius Center Cut 142
5.2 Möbius Near-Edge Cut 142
5.3 Double Möbius 143
5.4 Two Perpendicular Bands 143
5.5 Perpendicular Band and Möbius Band 144
5.6 Two Perpendicular Möbius Bands 145
5.7 Band and S Strip 145
5.8 Strip to Pentagon 146
5.9 Strip to Hexagon 146
5.10 Knotted Strip 147
5.11 Strip to Cube 148
5.12 Strips to Star of David 149
6 Flexagons 151
6.1 2 × 2 Tritetraflexagon 152
6.2 2 × 2 Hexatetraflexagon 154
6.3 2 × 2 Hexateiraflexagon II 156
6.4 2 × 3 Tetratetraflexagon 158
6.5 Trihexaflexagon 160
6.6 Hexahexaflexagon 162
6.7 Flexagon Rotor 163
6.8 Tetrahedron Hexaflexagon Rotor 166
7 Fold and Cut 169
7.1 Impossible Object 169
7.2 How Many Pieces? 170
7.3 Star of David 171
7.4 Maximum Length 171
7.5 Silhouettes 172
7.6 Fold-and-Cut Square 173
7.7 Fold-and-Cut Star of David 174
7.8 Fold-and-Cut Hollow Star of David 174
7.9 Fold-and-Cut Cross 175
7.10 Fold-and-Cut A to Z 175
7.11 Strip to a Square 176
7.12 Impossible Flap 176
Solutions 178
7.1 Impossible Object 178
7.2 How Many Pieces? 179
7.3 Star of David 180
7.4 Maximum Length 182
7.5 Silhouettes 183
7.6 Fold-and-Cut Square 185
7.7 Fold-and-Cut Star of David 186
7.8 Fold-and-Cut Hollow Star of David 187
7.9 Fold-and-Cut Cross 188
7.10 Fold-and-Cut A to Z 189
7.11 Strip to a Square 191
7.12 Impossible Flap 193
8 Just Cutting 195
8.1 A Coin through a Hole 195
8.2 Hole through a Card 196
8.3 Hole through a Card with Two Cuts 196
8.4 House to Square 197
8.5 Cut a Fan 198
8.6 Interlocking Rings 198
8.7 Cube Net to a Square 199
Solutions 200
8.1 A Coin through a Hole 200
8.2 Hole through a Card 201
8.3 Hole through a Card with Two Cuts 202
8.4 House to Square 203
8.5 Cut a Fan 204
8.6 Interlocking Rings 205
8.7 Cube Net to a Square 206
9 Overlapping Paper Puzzles 207
9.1 Overlapping Sheets in a Square - Different Sizes 207
9.2 Overlapping Sheets in a Square - Equal Sizes 208
9.3 Kissing Sheets - All Kiss Together 209
9.4 Kissing Sheets - Couple's Kiss 210
Solutions 211
9.1 Overlapping Sheets in a Square - Different Sizes 211
9.2 Overlapping Sheets in a Square - Equal Sizes 211
9.3 Kissing Sheets - All Kiss Together 212
9.4 Kissing Sheets - Couple's Kiss 212
10 More Fun with Paper 215
10.1 Torpedo (Spinning Fish) 215
10.2 Rotator 216
10.3 Helicopters 217
10.4 Origami Screecher 219
10.5 Whistle 220
10.6 Boomer 221
10.7 Bottle Opener 222
10.8 Moving Paper 223
10.9 Joining Paperclips with a Dollar Bill 225
10.10 The Upside-Down Dollar Bill 226
10.11 Balanced Paper 227
10.12 A Glass on a Sheet of Paper 228
Solutions 229
10.11 Balanced Paper 229
10.12 A Glass on a Sheet of Paper 229
Appendix 231
A.1 Dividing a Right Angle 231
A.2 The Fujimoto Approximation - Dividing a Sheet of Paper into n Equal Parts 233
A.3 The 11 Nets of a Cube 237
References 239