Hexasphericon

The hexasphericon 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 (6,1)-polysphericon, it can be constructed by taking the solid of rotation of a hexagon by bisecting it along a hexagon, rotating one half by $$\frac{\pi}{3}$$, and recombining the two halves along their hexagonal faces.