Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdös. This book is ideal for students, teachers and anyone interested in recreational mathematics.

• Wonderful selection of problems from round the world with solutions • Includes a problem from Paul Erdös

### Contents

1. The remarkable wine-rack property; 2. The Restless Lion; 3. Apples and sticks; 4. A surprising result of Paul Erdös; 5. Miscellaneous gleanings; 6. An application of Tur´an's theorem; 7. Four problems from Putnam papers; 8. Topics based on problems from Quantum; 9. Two distinguished integers; 10. A property of the binomial coefficients; 11. Nine miscellaneous problems; 12. A problem in coin-tossing; 13. Semi-regular lattice polygons; 14. Six problems from the Canadian Open Mathematics Challenge; 15. Three pretty theorems in geometry; 16. Two gems from Euclidean geometry; 17. The Thue–Morse–Hedlund sequence; 18. Two miscellaneous problems; 19. A surprising property of regular polygons; 20. Three short stories in number theory; 21. Three geometry problems; 22. Three problems from the 1990 Balkan Olympiad; 23. A Japanese 'fan' problem; 24. Slicing a doughnut; 25. A problem from the 1980 Tournament of the Towns.