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Problem of the Week 1168

Linearizing the Circle

This diagram shows how to cover any convex quadrilateral and its interior with disjoint closed line segments of positive length.

Is it possible to cover a circle and its interior in the same way?

Source: Konhauser, Velleman, Wagon, Which Way Did the Bicycle Go? #49

© Copyright 2013 Stan Wagon. Reproduced with permission.

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16 October 2013