Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
name: label: maker
content: Wheeler, Albert Harry
notes: label: Description
content: This pink plastic model has tetrahedral symmetry. It is the union of four congruent heptahedra. Each heptahedron has one equilateral triangle, three small triangles (with hypotenuses along the edges of the equilateral triangle), and three irregular quadrilaterals for sides. Each of the quadrilaterals is coplanar with a quadrilateral in another heptahedron. A mark on the model reads: 658.
label: Description
content: According to Wheeler, the model has eighteen vertices (e), thirty-six edges, and nineteen faces. This gives an Euler characteristic of e – k + f = -1. Wheeler also says that the model can be derived from a regular icosahedron by removing alternate octants. He attributes the construction to K. Merz of Chur, Switzerland.
label: Description
content: Reference:
label: Description
content: A.H. Wheeler, <I>Catalog of Models</I>, A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.
label: Location
content: Currently not on view
place: label: place made
content: United States: Massachusetts, Worcester
topic: label: Subject
content: Mathematics
setName: label: See more items in
content: Medicine and Science: Mathematics
label: See more items in
content: Science & Mathematics
creditLine: label: Credit Line
content: Gift of Helen M. Wheeler
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.304723.540
label: accession number
content: 304723
label: catalog number
content: 304723.540
objectType: label: Object Name
content: Geometric Model
physicalDescription: label: Physical Description
content: plastic (overall material)
label: Physical Description
content: pink (overall color)
label: Physical Description
content: cut and glued (overall production method/technique)
label: Measurements
content: average spatial: 5 cm x 6.5 cm x 6 cm; 1 31/32 in x 2 9/16 in x 2 3/8 in