Geometric Model by A. Harry Wheeler, One-Sided Polyhedron, Dekahedron
name: label: maker
content: Wheeler, Albert Harry
notes: label: Description
content: 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.
label: Description
content: Compare MA.304723.739 and Ma.304723.363. They do not appear to be identical.
label: Description
content: Reference:
label: Description
content: A.H. Wheeler, <I>Catalog of Models</I>, A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.
label: Location
content: Currently not on view
place: label: place made
content: United States: Massachusetts, Worcester
topic: label: Subject
content: Mathematics
setName: label: See more items in
content: Medicine and Science: Mathematics
label: See more items in
content: Science & Mathematics
creditLine: label: Credit Line
content: Gift of Helen M. Wheeler
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.304723.363
label: accession number
content: 304723
label: catalog number
content: 304723.363
objectType: label: Object Name
content: Geometric Model
physicalDescription: label: Physical Description
content: plastic (overall material)
label: Physical Description
content: green (overall color)
label: Physical Description
content: cut and glued (overall production method/technique)
label: Measurements
content: 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