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

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

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Description
The underlying structure of this plastic model is a rhombic dodecahedron with a four-sided slanting pyramid erected on each face. The triangular sides of the pyramids are not equilateral, but are congruent. The triangles are colored blue, turquoise, and black (sixteen of each). Each triangle is coplanar with one other triangle of the same color, reducing the number of faces to 24. A paper tag on the model reads: M 6. Another mark reads: 647. A third mark reads: e=18 (/) k=48 (/) f=24 (1) e-k+f= -6. Here e is the number of vertices (Wheeler used the German ecken), k is the number of edges (kanten in German) and f is the number of faces. Wheeler classified the model as M6 in his one-sided polyhedra.
Reference:
A.H. Wheeler, Catalog of Models, A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.
Location
Currently not on view
Object Name
Geometric Model
maker
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
plastic (overall material)
turquoise (overall color)
black (overall color)
blue (overall color)
cut and glued (overall production method/technique)
Measurements
average spatial: 10.3 cm x 10.6 cm x 10.6 cm; 4 1/16 in x 4 3/16 in x 4 3/16 in
ID Number
MA.304723.370
accession number
304723
catalog number
304723.370
Credit Line
Gift of Helen M. Wheeler
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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