A polyhedron or plane tessellation is called semiregular if its faces are all regular polygons and its corners are alike (Walsh 1972; Coxeter 1973, pp. 4 and 58; Holden 1991, p. 41). The usual name for a semiregular polyhedron is an Archimedean solid, of which there are exactly 13. In addition, a prism or antiprism is considered semiregular if all its faces are regular polygons.
Semiregular Polyhedron
See also
Antiprism, Archimedean Solid, Polyhedron, Prism, Quasiregular Polyhedron, Regular Polyhedron, Semiregular Tessellation, TessellationExplore with Wolfram|Alpha
References
Coxeter, H. S. M. "Regular and Semi-Regular Polytopes I." Math. Z. 46, 380-407, 1940.Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, 1973.Holden, A. Shapes, Space, and Symmetry. New York: Dover, 1991.Walsh, T. R. S. "Characterizing the Vertex Neighbourhoods of Semi-Regular Polyhedra." Geometriae Dedicata 1, 117-123, 1972.Referenced on Wolfram|Alpha
Semiregular PolyhedronCite this as:
Weisstein, Eric W. "Semiregular Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SemiregularPolyhedron.html