| Preface | xi |
| Time Travel | 1 |
| Hexes and Stars | 15 |
| Tangrams, Part 1 | 27 |
| Tangrams, Part 2 | 39 |
| Nontransitive Paradoxes | 55 |
| Combinatorial Card Problems | 71 |
| Melody-Making Machines | 85 |
| Anamorphic Art | 97 |
| The Rubber Rope and Other Problems | 111 |
| Six Sensational Discoveries | 125 |
| The Császár Polyhedron | 139 |
| Dodgem and Other Simple Games | 153 |
| Tiling with Convex Polygons | 163 |
| Tiling with Polyominoes, Polyiamonds, and Polyhexes | 177 |
| Curious Maps | 189 |
| The Sixth Symbol and Other Problems | 205 |
| Magic Squares and Cubes | 213 |
| Block Packing | 227 |
| Induction and Probability | 241 |
| Catalan Numbers | 253 |
| Fun with a Pocket Calculator | 267 |
| Tree-Plant Problems | 227 |
| Index of Names | 291 |