Geometric Model by A. Harry Wheeler, Cube Transformable into Four Regular Octahedra and a Faceted Cuboctahedron, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Cube Transformable into Four Regular Octahedra and a Faceted Cuboctahedron, Dissected Polyhedron

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Description
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 puramids. 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.
Compare MA.304723.294, MA.304723.296, MA.304273.306, and MA.304723.132.
There is a drawing in 1979.3002.42 for a "cube with four removable octahedra." It is dated March 12, 1938.
Location
Currently not on view
Object Name
Geometric Model
date made
1931 09 29
maker
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
paper (overall material)
tan (overall color)
cut and folded (overall production method/technique)
Measurements
average spatial: 10 cm x 9.8 cm x 10.2 cm; 3 15/16 in x 3 27/32 in x 4 1/32 in
ID Number
MA.304723.294
accession number
304723
catalog number
304723.294
Credit Line
Gift of Helen M. Wheeler
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Dissected Polyhedra
Data Source
National Museum of American History
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