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

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

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This clear plastic model has a tetrahedron on the inside, without a base. The three sides have identical pentahedra attached to them. One side of each pentahedron is a trapezoid on the side of the tetrahedron, a second is a horizontal trapezoid parallel to the plane of the missing base, and two sides are triangles in the plane of adjacent sides of the underlying tetrahedron. Each pentahedron also has a trapezoid on the outside that begins at the base of the tetrahedron and slopes outward. A small equilateral triangle inside the underlying tetrahedron joins the horizontal trapezoids. A mark on the model reads: 680. Wheeler also called the model M39 in his list of one-sided polyhedra.
A.H. Wheeler, Catalog of Models, A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.
Currently not on view
Object Name
Geometric Model
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
green (overall color)
plastic (overall material)
cut and glued (overall production method/technique)
average spatial: 8 cm x 8 cm x 8 cm; 3 5/32 in x 3 5/32 in x 3 5/32 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
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