Octasphericon

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Octasphericon
Rank3
TypeDevelopable roller
Measures (radius 1)
Central density1
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
ConvexYes
NatureTame

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 , and recombining the two halves along their octagonal faces.