Contents

Introduction vii

1. Wheels 1

2. Diophantlne Analysis and Fermat's Last Theorem 10

3. The Knotted Molecule and Other Problems 20

4. Alephs and Supertasks 31

5. Nontransitive Dice and Other Probability Paradoxes 40

6. Geometrical Fallacies 51

7. The Combinatorics of Paper Folding 60

8. A Set of Quickies 74

9. Ticktacktoe Games 94

10. Plaiting Polyhedrons 106

11. The Game of Halma 115

12. Advertising Premiums 124

13. Salmon on Austin's Dog 134

14. Nim and Hackenbush 142

15. Golomb's Graceful Graphs 152

16. Charles Addams' Skier and other Problems 166

17. Chess Tasks 183

18. Slither, 3X+1, and Other Curious Questions 194

19. Mat hwe matical Tricks With Cards 206

20. The Game of Life, Part I 214

21. The Game of Life, Part II 226

22. The Game of Life, Part III 241 Name Index 259

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