Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi

For 25 of his 90 years, Martin Gardner wrote 'Mathematical Games and Recreations', a monthly column for Scientific American magazine. These columns have inspired hundreds of thousands of readers to delve more deeply into the large world of mathematics. He has also made significant contributions to magic, philosophy, debunking pseudoscience, and children's literature. He has produced more than 60 books, including many best sellers, most of which are still in print. His Annotated Alice has sold more than a million copies. He continues to write a regular column for the Skeptical Inquirer magazine.

'Gardner's monthly romp through recreational math and logic ran in Scientific American for 25 years, from the Sputnik splash to the Reagan reign, and nobody has been able to match it since. 'Mathematical Games' was an orgy of right-brain tomfoolery that could be approached for superficial fun or deep insight, or both at the same time … I can't think of a better present for a clever 12-year old, bored undergraduate, restless retiree, or stay-at-home parent fearing intellectual stagnation.' David Brooks, The Telegraph

• 1. Hexaflexagons; 2. Magic with a matrix; 3. Nine problems; 4. Ticktacktoe; 5. Probability paradoxes; 6. The icosian game and the Tower of Hanoi; 7. Curious topological models; 8. The game of hex; 9. Sam Loyd: America's greatest puzzlist; 10. Mathematical card tricks; 11. Memorizing numbers; 12. Nine more problems; 13. Polyominoes; 14. Fallacies; 15. Nim and tac tix; 16. Left or right.