Chapter 8. Tiling Rectangles with Polyominoes

Kapitel in diesem Buch

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