Geometric Model by A. Harry Wheeler, Cube Transformable into Four Regular Octahedra and a Faceted Cubeoctahedron, Dissected Polyhedron
name: label: maker
content: Wheeler, Albert Harry
notes: label: Description
content: This paper model comes in a paper box folded in the shape of a cube. Inside the box, arranged in the shape of a cube, are a faceted cuboctahedron, six square pyramids that fit in the facets of the cuboctahedron and eight triangular pyramids that fit over the triangular faces of the cuboctahedron. The pieces separate into the faceted cubocatahedron, four square pyramids, a square pyramid hinged to four triangular pyramids, and another square pyramid hinged to another four triangular pyramids. The four square pyramids can be arranged as two octahedra, as can both of the sets of hinged pieces. Hence the pieces of the model can be arranged either as a cube or as four regular octahedra and a faceted cuboctahedron (this form of faceted cubocatahedraon is called by Wenninger an octahemioctahedron).
label: Description
content: Wheeler numbered this model 763.
label: Description
content: Compare MA.304723.294 (larger paper model), MA.304723.296 (middle-sized paper model), MA.304273.306 (smallest paper model), and MA.304723.132.
label: Description
content: There is a drawing in 1979.3002.42 for a "cube with four removable octahedra." It is dated March 12, 1938. This is quite possibly for the plastic version of the model.
label: Description
content: Reference:
label: Description
content: Magnus J. Wenninger, <I>Polyhedron Models</I>, Cambridge: Cambridge University Press, 1971, p. 103.
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
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content: Dissected Polyhedra
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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.304723.306
label: accession number
content: 304723
label: catalog number
content: 304723.306
objectType: label: Object Name
content: Geometric Model
physicalDescription: label: Physical Description
content: paper (overall material)
label: Physical Description
content: tan (overall color)
label: Physical Description
content: cut and folded (overall production method/technique)
label: Measurements
content: average spatial: 6.5 cm x 6.5 cm x 6.5 cm; 2 9/16 in x 2 9/16 in x 2 9/16 in