Geometric Model by A. Harry Wheeler, Immersion of a Moebius Band (One-Sided Polyhedron)

Geometric Model by A. Harry Wheeler, Immersion of a Moebius Band (One-Sided Polyhedron)

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This green translucent model is an immersion of a Moebius band into three-dimensional space. That is, the surface passes through itself along certain lines. The model is dissected into three triangles and three four-sided figures (quadrilaterals). The triangles have angles of 36, 72, and 72 degrees. The pass-through lines of the immersion meet the triangles only at their vertices. The quadrilaterals are in the shape of isosceles trapezoids, and the diagonals of the trapezoids are the pass-through lines of the immersion.
Compare 1979.0102.416 (which has a full discussion of the surface), 1979.0102.197, 1979.0102.198, 1979.0102.199, 1079.0102.200, and MA.304723.718.
Currently not on view
Object Name
Geometric Model
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
plastic (overall material)
overall: 2 cm x 7.7 cm x 6.8 cm; 25/32 in x 3 1/32 in x 2 11/16 in
ID Number
accession number
catalog number
Credit Line
Gift of Louise D. Campbell
See more items in
Medicine and Science: Mathematics
Data Source
National Museum of American History
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