: Mathematics: curve of constant width

geometry > Euclidean geometry > plane curve > curve of constant width

curve of constant width

In geometry, a curve of constant width is a simple closed curve in the plane whose width (the distance between parallel supporting lines) is the same in all directions. The shape bounded by a curve of constant width is a body of constant width or an orbiform, the name given to these shapes by Leonhard Euler. Standard examples are the circle and the Reuleaux triangle. These curves can also be constructed using circular arcs centered at crossings of an arrangement of lines, as the involutes of certain curves, or by intersecting circles centered on a partial curve.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Curve_of_constant_width)

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