Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
name: label: maker
content: Wheeler, Albert Harry
notes: label: Description
content: This colorful cut and glued plastic model has tetrahedral symmetry. It might be considered as the union of four congruent pentahedra, each with one square side, two triangular sides, and two sides that are irregular quadrilaterals. The quadrilaterals and one triangle of each pentahedra meet at a vertex – the four vertices would be those of a regular tetrahedron. One quadrilateral side is coplanar with a triangle in the adjacent pentahedra and the sides are of the same color. Numerous other sides are coplanar and colored alike. A mark on the model reads: 649. Wheeler also assigned it number M8.
label: Description
content: According to Wheeler, the model has fourteen vertices (e), twenty-four edges (k) and eleven faces (f), for Euler characteristic e – k + f = 1. He reports that it was described by K. Merz in an article of June, 1938. In the Vierteljahresscrhtift der Naturforschenden Gesellschaft in Zurich..
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.304723.418
label: catalog number
content: 304723.418
label: accession number
content: 304723
objectType: label: Object Name
content: Geometric Model
physicalDescription: label: Physical Description
content: plastic (overall material)
label: Physical Description
content: blue, light (overall color)
label: Physical Description
content: red (overall color)
label: Physical Description
content: purple (overall color)
label: Physical Description
content: brown (overall color)
label: Physical Description
content: cut and glued (overall production method/technique)
label: Measurements
content: average spatial: 5.5 cm x 6.3 cm x 5.5 cm; 2 5/32 in x 2 15/32 in x 2 5/32 in