Curve of Constant Width - Examples

Examples

Famous examples of a curve of constant width are the British 20p and 50p coins. Their heptagonal shape with curved sides means that the currency detector in an automated coin machine will always measure the same width, no matter which angle it takes its measurement from.

There exists a polynomial of degree 8, whose graph (i.e., set of points in for which ) is a non-circular curve of constant width. Specifically,

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