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Guards, Galleries, Fortresses, and the Octoplex

T. S. Michael
The College Mathematics Journal
Vol. 42, No. 3 (May 2011), pp. 191-200
DOI: 10.4169/college.math.j.42.3.191
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.42.3.191
Page Count: 10
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Guards, Galleries, Fortresses, and the Octoplex
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Abstract

Summary The art gallery problem asks for the maximum number of stationary guards required to protect the interior of a polygonal art gallery with n walls. This article explores solutions to this problem and several of its variants. In addition, some unsolved problems involving the guarding of geometric objects are presented.

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