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, Semiregular Tessellation, Tessellation## Explore 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 Polyhedron## Cite this as:

Weisstein, Eric W. "Semiregular Polyhedron."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/SemiregularPolyhedron.html