Introduction |
|
v | |
Preface |
|
vii | |
How to Use This Book |
|
xix | |
1 Just Folding |
|
1 | (46) |
|
1.1 Square to Equilateral Triangle |
|
|
1 | (1) |
|
1.2 Square to Largest Possible Equilateral Triangle |
|
|
2 | (1) |
|
1.3 Rectangle to Regular Hexagon |
|
|
2 | (1) |
|
1.4 Square to Regular Hexagon |
|
|
3 | (1) |
|
|
3 | (1) |
|
1.6 Corners Converging on a Point |
|
|
4 | (2) |
|
1.7 An Uncreased Square from A4 |
|
|
6 | (1) |
|
1.8 An Uncreased 1: square root of 2 Rectangle from a Square |
|
|
7 | (1) |
|
1.9 Quadrisecting Rectangles into Triangles |
|
|
8 | (1) |
|
1.10 Quadrisecting Rectangles into Rectangles |
|
|
8 | (1) |
|
1.11 Quadrisecting Rectangles into Rectangles - Three Folds |
|
|
9 | (1) |
|
|
9 | (1) |
|
|
10 | (1) |
|
|
11 | (1) |
|
1.15 Generalized Folded Letter |
|
|
11 | (1) |
|
1.16 Inverse Folded Letter |
|
|
12 | (1) |
|
|
13 | (34) |
|
1.1 Square to Equilateral Triangle |
|
|
13 | (1) |
|
1.2 Square to Largest Possible Equilateral Triangle |
|
|
14 | (2) |
|
1.3 Rectangle to Regular Hexagon |
|
|
16 | (3) |
|
1.4 Square to Regular Hexagon |
|
|
19 | (2) |
|
|
21 | (4) |
|
1.6 Corners Converging on a Point |
|
|
25 | (2) |
|
1.7 An Uncreased Square from A4 |
|
|
27 | (2) |
|
1.8 An Uncreased 1: square root of 2 Rectangle from a Square |
|
|
29 | (1) |
|
1.9 Quadrisecting Rectangles into Triangles |
|
|
30 | (2) |
|
1.10 Quadrisecting Rectangles into Rectangles |
|
|
32 | (4) |
|
1.11 Quadrisecting Rectangles into Rectangles - Three Folds |
|
|
36 | (1) |
|
|
37 | (2) |
|
|
39 | (4) |
|
|
43 | (1) |
|
1.15 Generalized Folded Letter |
|
|
43 | (2) |
|
1.16 Inverse Folded Letter |
|
|
45 | (2) |
2 Origami Puzzles |
|
47 | (38) |
|
|
47 | (1) |
|
2.2 Oversize Black and White |
|
|
48 | (1) |
|
2.3 Rectangular Black and White |
|
|
49 | (1) |
|
|
50 | (1) |
|
|
51 | (1) |
|
2.6 Cell Patterns in a Grid |
|
|
52 | (3) |
|
|
55 | (1) |
|
2.8 Origami Windmill Base |
|
|
56 | (1) |
|
2.9 Origami Windmill Base Shapes |
|
|
57 | (3) |
|
2.10 Origami Inside Out ISO Shapes |
|
|
60 | (1) |
|
|
61 | (1) |
|
2.12 Origami Hearts and a Square |
|
|
62 | (1) |
|
|
63 | (1) |
|
|
64 | (21) |
|
|
64 | (2) |
|
2.2 Oversize Black and White |
|
|
66 | (2) |
|
2.3 Rectangular Black and White |
|
|
68 | (1) |
|
|
68 | (4) |
|
|
72 | (1) |
|
2.6 Cell Patterns in a Grid |
|
|
73 | (2) |
|
|
75 | (1) |
|
2.8 Origami Windmill Base |
|
|
76 | (1) |
|
2.9 Origami Windmill Base Shapes |
|
|
77 | (1) |
|
2.10 Origami Inside Out ISO Shapes |
|
|
78 | (3) |
|
|
81 | (1) |
|
2.12 Origami Hearts and a Square |
|
|
81 | (1) |
|
|
82 | (3) |
3 3D Folding Puzzles |
|
85 | (24) |
|
|
85 | (1) |
|
|
86 | (1) |
|
3.3 A Cube from Eight Squares |
|
|
87 | (1) |
|
|
88 | (2) |
|
|
90 | (1) |
|
3.6 Closed Polyhedron from a Square |
|
|
91 | (1) |
|
3.7 Corners to Tetrahedron |
|
|
92 | (1) |
|
|
93 | (16) |
|
|
93 | (1) |
|
|
94 | (1) |
|
3.3 A Cube from Eight Squares |
|
|
95 | (3) |
|
|
98 | (1) |
|
|
98 | (2) |
|
3.6 Closed Polyhedron from a Square |
|
|
100 | (3) |
|
3.7 Corners to Tetrahedron |
|
|
103 | (6) |
4 Sequence Folding |
|
109 | (24) |
|
4.1 1, 2, 3, 4 on a Square |
|
|
110 | (1) |
|
4.2 The Eight Postage Stamps |
|
|
110 | (1) |
|
|
111 | (1) |
|
4.4 The Rascals to the Prison |
|
|
112 | (1) |
|
|
113 | (1) |
|
|
114 | (1) |
|
|
115 | (1) |
|
4.8 Self-Designing Tetraflexagon |
|
|
116 | (1) |
|
|
117 | (16) |
|
4.1 1, 2, 3, 4 on a Square |
|
|
117 | (1) |
|
4.2 The Eight Postage Stamps |
|
|
117 | (1) |
|
|
118 | (3) |
|
4.4 The Rascals to the Prison |
|
|
121 | (1) |
|
|
122 | (3) |
|
|
125 | (4) |
|
|
129 | (1) |
|
4.8 Self-Designing Tetraflexagon |
|
|
130 | (3) |
5 Strips of Paper |
|
133 | (18) |
|
|
134 | (1) |
|
|
134 | (1) |
|
|
135 | (1) |
|
5.4 Two Perpendicular Bands |
|
|
136 | (1) |
|
5.5 Perpendicular Band and Mobius Band |
|
|
137 | (1) |
|
5.6 Two Perpendicular Mobius Bands |
|
|
138 | (1) |
|
|
139 | (1) |
|
|
139 | (1) |
|
|
140 | (1) |
|
|
140 | (1) |
|
|
141 | (1) |
|
5.12 Strips to Star of David |
|
|
141 | (1) |
|
|
142 | (9) |
|
|
142 | (1) |
|
|
142 | (1) |
|
|
143 | (1) |
|
5.4 Two Perpendicular Bands |
|
|
143 | (1) |
|
5.5 Perpendicular Band and Mobius Band |
|
|
144 | (1) |
|
5.6 Two Perpendicular Mobius Bands |
|
|
145 | (1) |
|
|
145 | (1) |
|
|
146 | (1) |
|
|
146 | (1) |
|
|
147 | (1) |
|
|
148 | (1) |
|
5.12 Strips to Star of David |
|
|
149 | (2) |
6 Flexagons |
|
151 | (18) |
|
6.1 2 x 2 Tritetraflexagon |
|
|
152 | (2) |
|
6.2 2 x 2 Hexatetraflexagon |
|
|
154 | (2) |
|
6.3 2 x 2 Hexatetraflexagon II |
|
|
156 | (2) |
|
6.4 2 x 3 Tetratetraflexagon |
|
|
158 | (2) |
|
|
160 | (2) |
|
|
162 | (1) |
|
|
163 | (3) |
|
6.8 Tetrahedron Hexaflexagon Rotor |
|
|
166 | (3) |
7 Fold and Cut |
|
169 | (26) |
|
|
169 | (1) |
|
|
170 | (1) |
|
|
171 | (1) |
|
|
171 | (1) |
|
|
172 | (1) |
|
|
173 | (1) |
|
7.7 Fold-and-Cut Star of David |
|
|
174 | (1) |
|
7.8 Fold-and-Cut Hollow Star of David |
|
|
174 | (1) |
|
|
175 | (1) |
|
|
175 | (1) |
|
|
176 | (1) |
|
|
176 | (2) |
|
|
178 | (17) |
|
|
178 | (1) |
|
|
179 | (1) |
|
|
180 | (2) |
|
|
182 | (1) |
|
|
183 | (2) |
|
|
185 | (1) |
|
7.7 Fold-and-Cut Star of David |
|
|
186 | (1) |
|
7.8 Fold-and-Cut Hollow Star of David |
|
|
187 | (1) |
|
|
188 | (1) |
|
|
189 | (2) |
|
|
191 | (2) |
|
|
193 | (2) |
8 Just Cutting |
|
195 | (12) |
|
8.1 A Coin through a Hole |
|
|
195 | (1) |
|
|
196 | (1) |
|
8.3 Hole through a Card with Two Cuts |
|
|
196 | (1) |
|
|
197 | (1) |
|
|
198 | (1) |
|
|
198 | (1) |
|
|
199 | (1) |
|
|
200 | (7) |
|
8.1 A Coin through a Hole |
|
|
200 | (1) |
|
|
201 | (1) |
|
8.3 Hole through a Card with Two Cuts |
|
|
202 | (1) |
|
|
203 | (1) |
|
|
204 | (1) |
|
|
205 | (1) |
|
|
206 | (1) |
9 Overlapping Paper Puzzles |
|
207 | (8) |
|
9.1 Overlapping Sheets in a Square - Different Sizes |
|
|
207 | (1) |
|
9.2 Overlapping Sheets in a Square - Equal Sizes |
|
|
208 | (1) |
|
9.3 Kissing Sheets - All Kiss Together |
|
|
209 | (1) |
|
9.4 Kissing Sheets - Couple's Kiss |
|
|
210 | (1) |
|
|
211 | (4) |
|
9.1 Overlapping Sheets in a Square - Different Sizes |
|
|
211 | (1) |
|
9.2 Overlapping Sheets in a Square - Equal Sizes |
|
|
211 | (1) |
|
9.3 Kissing Sheets - All Kiss Together |
|
|
212 | (1) |
|
9.4 Kissing Sheets - Couple's Kiss |
|
|
212 | (3) |
10 More Fun with Paper |
|
215 | (16) |
|
10.1 Torpedo (Spinning Fish) |
|
|
215 | (1) |
|
|
216 | (1) |
|
|
217 | (2) |
|
|
219 | (1) |
|
|
220 | (1) |
|
|
221 | (1) |
|
|
222 | (1) |
|
|
223 | (2) |
|
10.9 Joining Paperclips with a Dollar Bill |
|
|
225 | (1) |
|
10.10 The Upside-Down Dollar Bill |
|
|
226 | (1) |
|
|
227 | (1) |
|
10.12 A Glass on a Sheet of Paper |
|
|
228 | (1) |
|
|
229 | (2) |
|
|
229 | (1) |
|
10.12 A Glass on a Sheet of Paper |
|
|
229 | (2) |
Appendix |
|
231 | (8) |
|
A.1 Dividing a Right Angle |
|
|
231 | (2) |
|
A.2 The Fujimoto Approximation - Dividing a Sheet of Paper into in Equal Parts |
|
|
233 | (4) |
|
A.3 The 11 Nets of a Cube |
|
|
237 | (2) |
References |
|
239 | |