The Dots and Boxes Game: Sophisticated Child's Play [Paperback]

Elwyn R. Berlekamp (Author)

Book Description

ISBN-10: 1568811292 | ISBN-13: 978-1568811291 | Publication Date: July 18, 2000

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

• Paperback: 131 pages
• Publisher: A K Peters/CRC Press (July 18, 2000)
• Language: English
• ISBN-10: 1568811292
• ISBN-13: 978-1568811291
• Product Dimensions: 9 x 6.1 x 0.4 inches
• Shipping Weight: 5.6 ounces (View shipping rates and policies)
• Average Customer Review: 2.6 out of 5 stars  See all reviews (5 customer reviews)
• Amazon Best Sellers Rank: #928,876 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

18 of 18 people found the following review helpful:

4.0 out of 5 stars Detailed analysis of a simple game, September 30, 2000

By 

Charles Ashbacher (Marion, Iowa United States) - See all my reviews
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This review is from: The Dots and Boxes Game: Sophisticated Child's Play (Paperback)

The title game of this book is the simple one where two players start with a rectangular grid of dots. They take turns connecting two adjacent dots using either a horizontal or vertical line. If the line closes a square, the player initials it and then connects two additional dots. The player with the most initialed squares at the end wins the game. There are several games that are mathematically equivalent, which makes the explanations even more interesting.
Like so many other games, the rules are simple, effective strategies for improved play are available and easy to understand, but a complete analysis is elusive and may be all but combinatorially impossible. Of course, this is what keeps our interest.
Many problems with solutions are presented with some currently unsolved situations listed at the end. While the book is interesting, the lack of detailed explanations of at least some of the solutions would have done a great deal to improve the quality of the book. Games like this have strategies that can be subtle to say the least and I found it difficult to justify the moves that the author put forward as the appropriate strategy. However, this is not to say that I ultimately found the move to be incorrect.
Humans are creatures that require games and play. The best all seem to be the ones with simple rules and complex or impossible strategies. The games described in this book are fun to play and the explanations of basic strategies are easy to understand. If this type of game interests you, then you will find the book enjoyable.

Published in Journal of Recreational Mathematics, reprinted with permission.

15 of 15 people found the following review helpful:

3.0 out of 5 stars The only book about Dots and Boxes to my knoweledge, August 4, 2002

By 

Maurizio De Leo (Milano, Italy) - See all my reviews

This review is from: The Dots and Boxes Game: Sophisticated Child's Play (Paperback)

This book is one of a kind, and will show you that the game of Dots and Boxes is far from trivial, in spite of the common idea. It will also show you some very high-quality technical stuff about this game.The main issue is that the book is born as a collection of problems, and the try to turn it into a full-fledged book wasn't completely successful. The explanations are lacking in clarity and the result is that you have a very good series of positions and problems, but not the knoweledges for solving them

12 of 13 people found the following review helpful:

1.0 out of 5 stars Incomplete, December 27, 2001

By 

James B. Apple (Charlottesville, VA United States) - See all my reviews
(REAL NAME)   

This review is from: The Dots and Boxes Game: Sophisticated Child's Play (Paperback)

Although the subject matter is enticing and the introduction thorough, the text proper falls short. The examples come with minimal, if any, explanation, leaving it to the reader to actually make conjectures and prove lemmas. This book seems to have been writtem more as a private notebook for someone who already understands the game rather than an explanation for neophytes.