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

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Description
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 (304723.204) is dated 1919, hence the approximate date assigned to this model.
References:
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.
Location
Currently not on view
date made
ca 1920
maker
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
paper (overall material)
tan (overall color)
cut and glued (overall production method/technique)
Measurements
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
ID Number
MA.304723.205
accession number
304723
catalog number
304723.205
Credit Line
Gift of Helen M. Wheeler
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Mathematical Association of America Objects
Data Source
National Museum of American History, Kenneth E. Behring Center

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