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

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

<< >>
Usage conditions apply
Downloads
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 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).
Wheeler numbered this model 763.
Compare MA.304723.294 (larger paper model), MA.304723.296 (middle-sized paper model), MA.304273.306 (smallest paper model), 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. This is quite possibly for the plastic version of the model.
Reference:
Magnus J. Wenninger, Polyhedron Models, Cambridge: Cambridge University Press, 1971, p. 103.
Location
Currently not on view
Object Name
Geometric Model
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: 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
ID Number
MA.304723.306
accession number
304723
catalog number
304723.306
Credit Line
Gift of Helen M. Wheeler
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Dissected Polyhedra
Science & Mathematics
Data Source
National Museum of American History
Nominate this object for photography.   

Our collection database is a work in progress. We may update this record based on further research and review. Learn more about our approach to sharing our collection online.

If you would like to know how you can use content on this page, see the Smithsonian's Terms of Use. If you need to request an image for publication or other use, please visit Rights and Reproductions.

Comments

Add a comment about this object