Geometric Model by A. Harry Wheeler, One-Sided Polyhedron


In the late 1930s and early 1940s, A. Harry Wheeler took great interest in polyhedra with interpenetrating sides, such as had been discussed by the German mathematician August F. Moebius. In this example, each of the two like-colored quadrilaterals (e.g. the two yellow sides) on the top pass through the model and appear as a white quadrilateral on the bottom. These three figures thus contribute only one side to the polygon.

A mark on the model reads: 695. This was Wheeler’s number for the model. Models MA.304723.413, MA.304723.397, and MA.304723.398 fit together. Model MA.304723.409 is a compound of four models like MA.304723.413.


Kurt Reinhardt, “Zu Moebius’ Polyhedertheorie,” Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig. Mathematisch-Physische Classe, 37, pp. 106-125. Wheeler referred to this article.

Date Made: ca 1940

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, Mathematical Association of America Objects


Exhibition Location:

Related Publication: Wheeler, A.H.. List of Wheeler Models

Credit Line: Gift of Helen M. Wheeler

Data Source: National Museum of American History

Id Number: MA.304723.413Accession Number: 304723Catalog Number: 304723.413

Object Name: Geometric Model

Physical Description: plastic (overall material)white (overall color)blue (overall color)red (overall color)yellow (overall color)cut and glued (overall production method/technique)Measurements: overall: 4 cm x 18.5 cm x 16 cm; 1 9/16 in x 7 9/32 in x 6 5/16 in


Record Id: nmah_1069221

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.