Gardner Martin. Penrose Tiles To Trapdoor Ciphers and the Return of Dr. Matrix

New York: W.H. Freeman, 1997. — 325 p. — ISBN 0-88385-521-6.Here is another collection drawn from Martin Gardner's 'Mathematical Games' column in Scientific American. Each chapter explores a different theme, for example fractals, surreal numbers, the sculptures of Berrocal, tiling the plane, Ramsey theory and code breaking, all combining to create a rich diet of recreational mathematics. Most chapters can be readily understood by the uninitiated: at each turn there are challenges for the reader and a wealth of references for further reading. Gardner's clarity of style and ability systematically to simplify the complex make this an excellent vehicle in which to start or continue an interest in recreational mathematics.Penrose Tiling I
Penrose Tiling II
Mandelbrot's Fractals
Conway's Surreal numbers
Back from the Klondike and Other Problems
The Oulipo
The Oulipo II
Wythoff's Nim
Pool-Ball Triangles and Other Problems
Mathematical Induction and Colored Hats
Negative Numbers
Cutting Shapes into N Congruent Putts
Trapdoor ciphers
Trapdoor ciphers II
Hyperbolas
The New Eleusis
Ramsey Theory
From Burrs to Berrocal
Sicherman Dice, the Kruskal Count and Other Curiosities
Raymond Smullyann's logic Puzzles
The Return of Dr. Matrix
Postscript
Name Index