The Dots and Boxes Game: Sophisticated Child's Play

The Dots and Boxes Game: Sophisticated Child's Play

by Elwyn R. Berlekamp
     
 

ISBN-10: 1568811292

ISBN-13: 9781568811291

Pub. Date: 06/01/2000

Publisher: Taylor & Francis

The game of Dots-and-Boxes, the popular game in which two players take turns connecting an array of dots to form squares, or "boxes" has long been considered merely a child's game. In this book, however, the author reveals the surprising complexity of the game, along with advanced strategies that will allow the reader to win at any level of gameplay desired. This

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Overview

The game of Dots-and-Boxes, the popular game in which two players take turns connecting an array of dots to form squares, or "boxes" has long been considered merely a child's game. In this book, however, the author reveals the surprising complexity of the game, along with advanced strategies that will allow the reader to win at any level of gameplay desired. This book is an essential guide to the game of Dots-and-Boxes and its mathematical underpinnings. Chapters of strategy are interspersed with dozens of sample problems and their solutions. Furthermore, the strategies can be applied to several other games, such as Strings-and-Coins and Nimstring.

Product Details

ISBN-13:
9781568811291
Publisher:
Taylor & Francis
Publication date:
06/01/2000
Edition description:
New Edition
Pages:
131
Sales rank:
936,523
Product dimensions:
6.06(w) x 9.02(h) x 0.36(d)

Table of Contents

Preface
1Dots-and-Boxes - An Introduction3
2Strings-and-Coins11
3Elementary Chain Counting Problems13
4Advanced Chain Counting23
5Advanced Chain Counting Problems27
6Nimber Values for Nimstring Graphs39
7Elementary Problems with Nimbers53
8More about Nimstring, Arrays, Mutations, Vines, etc59
9Advanced Nimstring Problems69
10Playing Dots-and-Boxes with Very Close Scores75
11Dots-and-Boxes Problems with Close Scores87
12Unsolved Problems117
Bibliography125
Index127

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