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Curves of Constant Width

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation introduces the Reuleaux Triangle and shows how to construct a curve which has a constant width, as well as Barbier's Theorem and the Isoperimetric Inequality. Three dimensional shapes are also investigated to consider if there is a surface of constant width, other than the sphere.

The activity is designed to explore aspects of the subject which may not normally be encountered, to encourage new ways to approach a problem mathematically and to broaden the range of tools that an A Level mathematician can call upon if necessary.

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