A
Reuleaux triangle is a shape formed from the intersection of three
circular disks, each having its center on the boundary of the other two. It is a
curve of constant width, the simplest and best known such curve other than the circle itself. Constant width means that the separation of every two parallel
supporting lines is the same, independent of their orientation. Because all its diameters are the same, the Reuleaux triangle is one answer to the question "Other than a circle, what shape can a
manhole cover be made so that it cannot fall down through the hole?"