Cutting off the vertices of a polyhedron with regular polygons as faces may create another polyhedron which may also have faces that are regular polygons. When the solid angles of the figure are equal, and it is called a semi-regular solid. The ancient Greek mathematician Archimedes enumerated the eighteen regular and semi-regular solids, and they are known as Archimedean solids in his honor.
This cut and taped brown paper model has a total of sixty-two faces, thirty squares, twenty regular hexagons, and twelve regular decagons. The model has on it the number XIV, Wheeler considered it the fourteenth Archimedean solid and gave it his more general number 19.
Compare MA.304723.066,1979.0102.288, 1979.0102.292., and 1979.0102.293.
Reference:
Magnus J. Wenninger, Polyhedron Models, Cambridge: The University Press, 1971, p. 30.
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