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

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

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This clear plastic is, according to maker A. Harry Wheeler, a decahedron originally designed by the German mathematician August F. Möbius (1790-1868) and described in a memoir written in 1858 but published after his death. It is a one-sided surface with six vertices, fifteen edges, and ten faces. Superficially, it has four triangular sides and four other sides faceted in complicated ways. Following the German abbreviation for vertices (e), edges (k), and faces (f), the Euler characteristic of the polyhedron is, as written on the model: e – k + f = 1. A number on the model reads: 643. A paper tag reads: M2.
Compare MA.304723.739 and Ma.304723.363. They do not appear to be identical.
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)
green (overall color)
cut and glued (overall production method/technique)
average spatial: 10 cm x 11.6 cm x 10 cm; 3 15/16 in x 4 9/16 in x 3 15/16 in
ID Number
accession number
catalog number
Credit Line
Gift of Helen M. Wheeler
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Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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