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The Dakotas War - An Adventure in Geometry

Victor Aguilar

posted on 03 November 2017

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Soldiers are sometimes tasked with building something that they know will be targeted by the enemy – say, a munitions dump – in the middle of open farmland that paved roads have cut into rectangles. They know:


1. Their bases must be on paved roads so they can quickly move to confront enemy infantry approaching from anywhere, and so they can enfilade the roads to hit enemy vehicles.


2. Enemy aircraft are best met by anti-aircraft guns at the vertices of an equilateral triangle.


I solve this problem with geometry.