How to Move a Chair Through a Door Classic Reprint

Excerpt from How to Move a Chair Through a Door

To move a given chair through a door, a natural question is how wide the door should be. The minimum width of a passable door is called the width of the chair. The question was first raised by Gilbert Strang [str82] who studied the case of convex chairs in two and three dimensions.' We focus on the polygonal chairs in this paper but allow non-convex chairs. Although the notion of width for convex chairs is easily captured, the width of non-convex chairs admits several reasonable interpretations. We will note three possibilities in this paper.

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