Twenty-eight such honeycombs exist:
They can be considered the three-dimensional analogue to the uniform tilings of the plane.
Only 14 of the convex uniform polyhedra appear in these patterns:
This set can be called the regular and semiregular honeycombs. It has been called the Archimedean honeycombs by analogy with the convex uniform (non-regular) polyhedra, commonly called Archimedean solids. Recently Conway has suggested naming the set as the Architectonic tessellations and the dual honeycombs as the Catoptric tessellations.