Uniform tessellation

In mathematics, a uniform tessellation is a tessellation of a d-dimensional space, or a (hyper)surface, such that all its vertices are identical, i.e., there is the same combination and arrangement of faces at each vertex.

When applied to Euclidean space, the tessellation is most often assumed to be by polyhedra.

When applied to surfaces, uniform tessellations are an important notion for NURBS.