Surface of constant width

A surface of constant width is a geometric shape in three-dimensional space such that any two parallel planes that intersect the surface have the same distance between them, regardless of the orientation of the planes. In other words, the distance between parallel tangents to the surface is constant, serving as a uniform measure of width. One of the classic examples of a surface of constant width is the **sphere**, where the distance between any two parallel planes that touch the sphere is equal to the diameter of the sphere.