Book:Joseph S. Madachy/Mathematics on Vacation

From ProofWiki
Jump to navigation Jump to search

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