Geometric Model by A. Harry Wheeler, Cuboctahedron Fourth Species


Wheeler designed several models that extended the cuboctahedron (a model with eight triangular and six square faces). This is what he called the “fourth species” of the cuboctahedron. It has eight regions that are triangular pyramids facing inward and hence contribute three triangular sides each. It also has six regions that contribute eight triangular sides each. Finally, twelve more open regions have two square and two triangular sides. Many sides appear to be coplanar.

A mark on the model reads: Cuboctahedron (/) Fourth Series (/) A. Harry Wheeler (/) July-19-1932. A pencil mark reads: 13 / 38 (/) RS30.

Compare MA.304723.072 and MA.304723.073. They are not identical.

Date Made: 1932 07 19

Maker: Wheeler, Albert Harry

Location: Currently not on view

Place Made: United States: Massachusetts, Worcester

Subject: Mathematics


See more items in: Medicine and Science: Mathematics, Science & Mathematics


Exhibition Location:

Credit Line: Gift of Helen M. Wheeler

Data Source: National Museum of American History

Id Number: MA.304723.073Accession Number: 304723Catalog Number: 304723.073

Object Name: Geometric Model

Physical Description: paper (overall material)tan (overall color)cut and folded (overall production method/technique)Measurements: average spatial: 12 cm x 13.5 cm x 14 cm; 4 23/32 in x 5 5/16 in x 5 1/2 in


Record Id: nmah_1065414

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.