# Martin Gardner’s 6th Book of Mathematical Diversions from \(*Scientific*\) \(*American*\)

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*Martin Gardner*

This is the 1984 edition, which is a reprint of the original 1971
edition, and contains columns published in the magazine from
1963–1965.

#### Table of Contents

# Table of Contents

## Martin Gardner's 6th Book of Mathematical Diversions from $Scientific$ $American$

- Cover 11
- CONTENTS 33
- Introduction 44
- The Helix 66
- Klein Bottles and Other Surfaces 1414
- Combinatorial Theory 2424
- Bouncing Balls in Polygons and Polyhedrons 3434
- Four Unusual Board Games 4444
- The Rigid Square and Eight Other Problems 5353
- Sliding-Block Puzzles 6969
- Parity Checks 7676
- Patterns and Primes 8484
- Graph Theory 9696
- The Ternary System 109109
- The Trip around the Moon and Seven Other Problems 118118
- The Cycloid: Helen of Geometry 132132
- Mathematical Magic Tricks 140140
- Word Play 148148
- The Pythagorean Theorem 157157
- Limits of Infinite Series 168168
- Polyiamonds 178178
- Tetrahedrons 188188
- Coleridge's Apples and Eight Other Problems 200200
- The Lattice of Integers 213213
- Infinite Regress 225225
- O'Gara, the Mathematical Mailman 235235
- Op Art 244244
- Extraterrestrial Communication 258258