A regular prism consists of two regular N-sided polygons joined together
by N squares. A regular antiprism consists of two regular N-sided polygons
joined together by 2N equilateral triangles. The Square Prism and the
Triangular Antiprism are the Cube and the Octahedron, respectively.
The remaining regular prisms and antiprisms are closely related to
Archimedean solids in the sense that they are convex polyhedra whose faces
are regular polygons of two or more types that meet in the same pattern
around each vertex. The distinguishing factor is that regular prisms and
antiprisms do not have polyhedral group (tetrahedral, octahedral, or
icosahedral) rotational symmetries.