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

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

<< >>
Usage conditions apply
This model might be seen aas three four-sided oblique pyramids, joined to form a three-legged model. Each pyramid has two black and one tourquois side. The tree bases are also turquoise. However, in this particular version of the model. two black faces of adjacent pyramids are in the same plane. Hence they contribute three, not six, faces to the model. Moreover, The base of a pyramid is in the same plane as two of the turquoise faces of other puramids. Hence the turquise pieces contribute three other faces, for a total of six faces. Wheeler also computes that the model has six vertices and twelve edges. This gives an Euler characteristic of 0, which characterizes a one-sided polyhedron.
A tag on the object reads: M 11. A mark reads: 652 (/) e=6 (/) k=12 (/) f=6 e-k+f=0.
Currently not on view
Object Name
Geometric Model
Other Terms
Geometric Model; One-Sided Polyhedron
Wheeler, Albert Harry
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
associated place
United States: Massachusetts, Worcester
Physical Description
plastic (overall material)
turquoise (overall color)
black (overall color)
cut and glued (overall production method/technique)
average spatial: 8.5 cm x 12.6 cm x 11.5 cm; 3 11/32 in x 4 31/32 in x 4 17/32 in
ID Number
accession number
catalog number
Credit Line
Gift of Helen M. Wheeler
See more items in
Medicine and Science: Mathematics
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.


Add a comment about this object