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.
Currently not on view
Object Name
geometric model
date made
ca 1940
Wheeler, Albert Harry
Physical Description
plastic (overall material)
white (overall color)
blue (overall color)
red (overall color)
yellow (overall color)
cut and glued (overall production method/technique)
overall: 4 cm x 18.5 cm x 16 cm; 1 9/16 in x 7 9/32 in x 6 5/16 in
place made
United States: Massachusetts, Worcester
ID Number
accession number
catalog number
Science & Mathematics
Mathematical Association of America Objects
See more items in
Medicine and Science: Mathematics
Mathematical Association of America Objects
Data Source
National Museum of American History, Kenneth E. Behring Center
Credit Line
Gift of Helen M. Wheeler
general reference
Wheeler, A.H.. List of Wheeler Models
Additional Media

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