Geometric Model by A. Harry Wheeler, 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.
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.
Currently not on view
Object Name
geometric model
date made
associated dates
Wheeler, Albert Harry
Physical Description
paper (overall material)
tan (overall color)
cut and folded (overall production method/technique)
average spatial: 9 cm x 11.5 cm x 12.5 cm; 3 17/32 in x 4 17/32 in x 4 29/32 in
place made
United States: Massachusetts, Worcester
ID Number
accession number
catalog number
Science & Mathematics
Mathematical Association of America Objects
See more items in
Medicine and Science: Mathematics
Mathematical Association of America Objects
Data Source
National Museum of American History, Kenneth E. Behring Center
Credit Line
Gift of Helen M. Wheeler
Additional Media

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