Geometric Model by A. Harry Wheeler, Stellation of the Icosadodecahedron, Described by Wheeler as a Stellated Icosahedron

Extending the sides of polygons can produce a variety of complex polyhedra, including this one. It has twelve relatively sharp points, each with five triangular edges converging. These points alone would form a twelve-pointed star that is itself a stellation of the icosahedron. In addition, there are twenty three-sided points—not as sharp. These faces alone are like those of a great stellated dodecahedron. Wenninger refers to this model as the thirteenth stellation of the icosidodecahedron.
The model is cut and folded from paper. Wheeler assigned it the number 371, and classified it as icosahedron I10. He also pointed out that the inner faces could be considered as parts of five intersecting tetrahedra.
A related model (MA*304723.204) is dated 1919, hence the approximate date assigned to this model.
Magnus J. Wenninger, Polyhedron Models, Cambridge: The University Press, 1971, p. 55, 73, 88.
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
ca 1920
Wheeler, Albert Harry
Physical Description
paper (overall material)
tan (overall color)
cut and glued (overall production method/technique)
average spatial: 14.8 cm x 19 cm x 19 cm; 5 13/16 in x 7 15/32 in x 7 15/32 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

Visitor Comments

Add a comment about this object

**Please read before submitting the form**

Have a comment or question about this object to share with the community? Please use the form below. Selected comments will appear on this page and may receive a museum response (but we can't promise). Please note that we generally cannot answer questions about the history, rarity, or value of your personal artifacts.

Have a question about anything else, or would you prefer a personal response? Please visit our FAQ or contact page.

Personal information will not be shared or result in unsolicited e-mail. See our privacy policy.

Enter the characters shown in the image.