All of its vertices are identical and there is the same combination and arrangement of faces at each vertex.
Its dimension can be clarified as n-honeycomb for an n-dimensional honeycomb.
Nearly all uniform tessellations can be generated by a Wythoff construction, and represented by a Coxeter–Dynkin diagram.
Wythoffian tessellations can be defined by a vertex figure.
In general an n-dimensional uniform tessellation vertex figures are define by an (n–1)-polytope with edges labeled with integers, representing the number of sides of the polygonal face at each edge radiating from the vertex.