| Preface to the Revised Edition | |
| Preface to the First Edition | |
| Ch. 1 | Polyominoes and Checkerboards | 3 |
| Ch. 2 | Patterns and Polyominoes | 12 |
| Ch. 3 | Where Pentominoes Will Not Fit | 20 |
| Ch. 4 | Backtracking and Impossible Constructions | 30 |
| Ch. 5 | Some Theorems about Counting | 43 |
| Ch. 6 | Bigger Polyominoes and Higher Dimensions | 70 |
| Ch. 7 | Generalizations of Polyominoes | 85 |
| Ch. 8 | Tiling Rectangles with Polyominoes | 97 |
| Ch. 9 | Some Truly Remarkable Results | 111 |
| Appendix A. Answers to Exercises in Chapter 5 | 127 |
| Appendix B. Problem Compendium | 133 |
| Appendix C. Golomb's Twelve Pentomino Problems | 146 |
| Appendix D. Klamer's Konstant and the Enumeration of N-Ominoes | 152 |
| Glossary | 155 |
| Bibliography for the First Edition | 160 |
| Comprehensive Bibliography | 162 |
| Name Index | 183 |