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Championship-Level Play of Dots-And-Boxes

By West, Julian

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Book Id: WPLBN0000654320
Format Type: PDF eBook
File Size: 125.91 KB
Reproduction Date: 2005
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Title: Championship-Level Play of Dots-And-Boxes  
Author: West, Julian
Language: English
Subject: Science., Mathematics, Logic
Publication Date:


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West, J. (n.d.). Championship-Level Play of Dots-And-Boxes. Retrieved from

Mathematics document containing theorems and formulas.

Excerpt: Dots-and-Boxes, described in Chapter 16 of Winning Ways [Berlekamp et al. 1982], is a game played on a finite rectangular unit lattice of dots (or, individualized form, on an arbitrary graph). A move consists of joining two adjacent dots, that is, dots at distance one; if this completes one or more squares, a point (box) is awarded for each and the player retains her turn. A move after which turn does not pass to the opponent is known as a complimenting move and, under socalled normal win conditions |last player to move wins|leads to so-called loony values (explained below). However, Dots-and-Boxes does not have a normal win condition; indeed, analysis is complicated considerably by the unusual who-dies with-the-most-wins condition.


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