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.

**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.

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1999-05-26