Geometric Model by A. Harry Wheeler, Fifteenth Stellation of the Icosahedron

A stellation of a regular polyhedron is a polyhedron with faces formed by extending the sides of the faces of the regular polyhedron. Extending the triangular sides of an icosahedron can produce a variety of complex polyhedra, including this one. The surface has sixty short three-sided spikes. These meet in groups of three—each meeting point might be considered as the vertex of a circumscribing regular dodecahedron.

The model is cut and folded from paper. It is Wheeler’s model 382, and number I21 in his series of icosahedra. Wenninger calls the surface the fifteenth stellation of the icosahedron.

References:

Magnus J. Wenninger, Polyhedron Models , Cambridge: The University Press, 1971, p. 62.

A. H. Wheeler, Catalog of Models , A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.

Where this page came from

This page was imported from Smithsonian National Museum of American History. Released by the Smithsonian Institution under CC0 through Smithsonian Open Access.

Nobody has written it yet — it is the source material at a new address, which is why search engines are asked to skip it and why no one earns from it. It is up for grabs: take it on, and it is yours to rewrite and to earn from.