# New Mathematical Diversions: Revised Edition

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*Martin Gardner*

Martin Gardner's Mathematical Games columns in
Scientific American inspired and entertained several
generations of mathematicians and scientists. Gardner in his
crystal-clear prose illuminated corners of mathematics, especially
recreational mathematics, that most people had no idea existed. His
playful spirit and inquisitive nature invite the reader into an
exploration of beautiful mathematical ideas along with him. These
columns were both a revelation and a gift when he wrote them; no
one—before Gardner—had written about mathematics like
this. They continue to be a marvel.

This volume, first published in 1966, contains columns originally
published from 1959–1961. This is the 1995 MAA edition and
contains an extensive postscript and bibliography from Gardner
updating the columns.

#### Table of Contents

# Table of Contents

## New Mathematical Diversions: Revised Edition

- Cover 11
- CONTENTS 88
- INTRODUCTION 1010
- The Binary System 1313
- Group Theory and Braids 2323
- Eight Problems 3434
- The Games and Puzzles of Lewis Carroll 4747
- Paper Cutting 5858
- Board Games 7070
- Packing Spheres 8282
- The Transcendental Number Pi 9191
- Victor Eigen: Mathemagician 103103
- The Four-Color Map Theorem 113113
- Mr. Apollinax Visits New York 124124
- Nine Problems 134134
- Polyominoes and Fault-Free Rectangles 150150
- Euler's Spoilers: The Discovery of an Order-10 Graeco-Latin Square 162162
- The Ellipse 173173
- The 24 Color Squares and the 30 Color Cubes 184184
- H.S.M. Coxeter 196196
- Bridg-it and Other Games 210210
- Nine More Problems 219219
- The Calculus of Finite Differences 234234
- Postscript 247247
- Bibliography 259259