10. Gallia Est Omnis Divisa in Partes Quattuor

Chapters in this book

1. Frontmatter i
2. Contents v
3. Foreword vii
4. Preface and Acknowledgments x
5. Part I. Vignettes
6. 1. Should You Be Happy? 3
7. 2. One-Move Puzzles with Mathematical Content 11
8. 3. Minimalist Approaches to Figurative Maze Design 29
9. 4. Some ABCs of Graphs and Games 43
10. Part II. Problems Inspired by Classic Puzzles
11. 5. Solving the Tower of Hanoi with Random Moves 65
12. 6. Groups Associated to Tetraflexagons 81
13. 7. Parallel Weighings of Coins 95
14. 8. Analysis of Crossword Puzzle Difficulty Using a Random Graph Process 105
15. 9. From the Outside In 127
16. Part III. Playing Cards
17. 10. Gallia Est Omnis Divisa in Partes Quattuor 139
18. 11. Heartless Poker 149
19. 12. An Introduction to Gilbreath Numbers 163
20. Part IV. Games
21. 13. Tic-tac-toe on Affine Planes 175
22. 14. Error Detection and Correction Using SET 199
23. 15. Connection Games and Sperner’s Lemma 213
24. Part V. Fibonacci Numbers
25. 16. The Cookie Monster Problem 231
26. 17. Representing Numbers Using Fibonacci Variants 245
27. About the Editors 261
28. About the Contributors 263
29. Index 269