The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes

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American Mathematical Soc., 2006/05/23 - 125 ページ
Crisscross, zigzag, bowtie, devil, angel, or star: which are the longest, the shortest, the strongest, and the weakest lacings? Pondering the mathematics of shoelaces, the author paints a vivid picture of the simple, beautiful, and surprising characterizations of the most common shoelace patterns. The mathematics involved is an attractive mix of combinatorics and elementary calculus. This book will be enjoyed by mathematically minded people for as long as there are shoes to lace.Burkard Polster is a well-known mathematical juggler, magician, origami expert, bubble-master, shoelace charmer, and "Count von Count" impersonator. His previous books include A Geometrical Picture Book, The Mathematics of Juggling, and QED: Beauty in Mathematical Proof.
 

目次

OneColumn Lacings
7
Counting Lacings
19
The Shortest Lacings
29
Variations on the Shortest Lacing Problem
47
The Longest Lacings
59
The Strongest Lacings
83
The Weakest Lacings
101
A Related Mathematics
107
References
121
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