"Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi" is the inaugural volume in The New Martin Gardner Mathematical Library series. Based off of Gardener"s enormously popular Scientific American columns, his puzzles and challenges can now fascinate a whole new generation! Paradoxes and paper-folding, Moebius variations and mnemonics, fallacies, magic square, topological curiosities, parlor tricks, and games ancient and modern, from Polyminoes, Nim, Hex, and the Tower of Hanoi to four-dimensional ticktacktoe. These mathematical recreations, clearly and cleverly presented by Martin Gardner, delight and perplex while demonstrating principles of logic, probability, geometry, and other fields of mathematics. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries.