Definition:Archimedean Polyhedron

Definition
An Archimedean polyhedron is a convex polyhedron with the following properties:
 * $(1): \quad$ Each of its faces is a regular polygon
 * $(2): \quad$ It is vertex-transitive
 * $(3): \quad$ The faces are not all congruent.
 * $(4): \quad$ It is not a regular prism or a regular antiprism.

Also defined as
The pseudo-rhombicuboctahedron is also sometimes considered along with these, but as it is not vertex-transitive it is usually excluded.

Also known as
An Archimedean polyhedron is also known as an Archimedean solid.