# Book:Joseph S. Madachy/Mathematics on Vacation

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## Joseph S. Madachy:

## Contents

## Joseph S. Madachy: *Mathematics on Vacation*

Published $\text {1966}$, **Nelson**.

### Subject Matter

### Contents

- acknowledgements

- preface

- 1 GEOMETRIC DISSECTIONS

- 2 CHESSBOARD PLACEMENT PROBLEMS

- 3 FUN WITH PAPER
- geometric constructions with paper only
- flexagons
- other flexagon diversions
- solid flexagons

- 4 MAGIC AND ANTIMAGIC SQUARES
- magic squares
- miscellaneous magic configurations
- antimagic squares
- talisman squares

- 5 PUZZLES AND PROBLEMS
- problems
- answers

- 6 NUMBER RECREATIONS
- numbers and their divisors
- perfect and multiperfect numbers
- prime numbers
- amicable numbers
- $0123456789$, or digital diversions
- narcissistic numbers
- factorial products
- printer's "errors"
- automorphic numbers
- two rather large numbers

- 7 ALPHAMETICS
- alphametic puzzles
- answers

- 8 CONGLOMERATE
- the problem of the mice
- deployment
- domino recreations
- lost chords
- bounding billiard balls

- GLOSSARY
- BIBLIOGRAPHY
- INDEX

## Cited by

## Errata

### $492$ Cubed is Sum of $3$ Positive Cubes in $13$ Ways

$6$: Number Recreations: Narcissistic Numbers: Miscellaneous

*... an integer less than $1,000$ whose cube could be represented in $5$ distinct ways as the sum of the cubes of $3$ positive integers...**In the table below, three solutions to the problem are shown that have gone far beyond ...*

- $\begin {array} {ccc} & n = 492 & \\ a & b & c \\ 24 & 204 & 480 \\ 48 & 85 & 491 \\ 72 & 384 & 396 \\ 113 & 264 & 463 \\ 144 & 360 & 414 \\ 176 & 204 & 472 \\ 207 & 297 & 438 \\ 226 & 332 & 414 \\ 246 & 328 & 410 \\ 281 & 322 & 399 \\ \end {array}$