Geometric Model by A. Harry Wheeler, One-Sided Polyhedron

Geometric Model by A. Harry Wheeler, One-Sided Polyhedron

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This cut and glued brown plastic model can be seen as the union of five faceted octahedra or tetrahemihexahedra (models like MA.304723.380). These are arranged so that five triangular facets are on the top, five on the bottom, and ten arranged symmetrically around the sides. A tag on the model reads; 705. Another tag reads: M64. According to Wheeler, the model has sixteen vertices (e), forty-five edges (k), and twenty-five faces (f), for an Euler characteristic of e – k + f = -4.
Compare models MA.304723.412 and 1979.0102.122.
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
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
plastic (overall material)
brown (overall color)
cut and glued (overall production method/technique)
average spatial: 5 cm x 13.5 cm x 13.5 cm; 1 31/32 in x 5 5/16 in x 5 5/16 in
ID Number
accession number
catalog number
Credit Line
Gift of Helen M. Wheeler
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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