Octasphericon

The octasphericon is a developable roller. It has a single, continuous, developable face, such that it rolls along a plane with every point on its face touching plane.

As the (8,1)-polysphericon, it can be constructed by taking the solid of rotation of a octagon by bisecting it along a octagon, rotating one half by $$\frac{\pi}{4}$$, and recombining the two halves along their octagonal faces.