Hosohedron

A hosohedron is a polyhedron made of digons or lunes, all of which sharing the same two vertices. It is degenerate if embedded in 3D Euclidean space, but it can be thought of as a tiling of the sphere.

It is the three-dimensional case of a hosotope.

Related polyhedra
The truncation of an n-gonal hosohedron is isomorphic to an n-gonal prism. Similarly, the snub of an n-gonal hosohedron is isomorphic to an n-gonal antiprism.