# Arbitrary Curves of Constant Width

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Both the circle and the Reuleaux triangle are examples of curves of constant width. Such curves, if fitted into a square, can rotate in constant contact with all four sides. Any triangle can serve as a template for a curve of constant width by putting three pairs of arcs of circles around it, centered at each of the three vertices, as shown by this Demonstration.

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Contributed by: Ed Pegg Jr (January 2013)

Open content licensed under CC BY-NC-SA

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## Permanent Citation

"Arbitrary Curves of Constant Width"

http://demonstrations.wolfram.com/ArbitraryCurvesOfConstantWidth/

Wolfram Demonstrations Project

Published: January 15 2013