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Problem of the Week 1168

Linearizing the Circle

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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