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

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

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Description
This pink plastic model has an equilateral triangle for a base and three triangles on the sides that meet in a point. A thin pyramid with a quadrilateral base is attached to each side edge of this larger triangular pyramid. One edge of each thin pyramids coincides with an edge of the larger triangular pyramid. One short edges from each pyramid meets another thin pyramid at the top of the model. Many sides are coplanar. The entire model has white plastic threads around it. A mark on the bottom reads: 651.
According to Wheeler’s catalog, model 651 has ten vertices (e=10), eighteen edges (k=18), and nine faces, (f = 9) for an Euler characteristic of e – k + f = 1.
Models MA.304723.378 and MA.304723.362 have the same shape. Models MA.304723.377 and MA.304723.401 have the same shape. Models MA.304723.378 and MA.304723.401 are both marked 650. Models MA.304723.377 and MA.304723.362 are both marked 651.
Reference:
A.H. Wheeler, "List of Models," Mathematics Collections, Non-accession number 1979.3002.83, NMAH.
Location
Currently not on view
Object Name
Geometric Model
maker
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
plastic (overall material)
pink, speckled (overall color)
cut and glued (overall production method/technique)
Measurements
average spatial: 4 cm x 6.5 cm x 5.9 cm; 1 9/16 in x 2 9/16 in x 2 5/16 in
ID Number
MA.304723.377
accession number
304723
catalog number
304723.377
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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