A semiregular polyhedron, in the global symmetry convention used here, is a convex polyhedron whose faces are regular polygons of two or more types and whose symmetry group can map any polyhedron vertex to any other. These comprise the 13 Archimedean solids and the nonregular members of the regular-faced prism and antiprism families (Grünbaum 2009, pp. 91-92). A weaker convention requires only the same local arrangement of faces at each polyhedron vertex and also admits the elongated square gyrobicupola. The term is also used for plane semiregular tessellations.
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.Grünbaum, B. "An Enduring Error." Elem. Math. 64, 89-101, 2009. https://doi.org/10.4171/EM/120.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 Resource. https://mathworld.wolfram.com/SemiregularPolyhedron.html