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Geometric Model, Truncated Octahedron

National Museum of American History

Object Details

Benson, Harold Walter
Description
Cutting off the vertices of a polyhedron creates another polyhedron which may also have faces that are regular polygons. If one cuts off the vertices of a regular eight-sided figure known at an octahedron, one can produce this truncated octahedron, which has eight faces that are regular hexagons and six that are squares. The solid angles of the figure are equal, and it is called a semi-regular solid. The ancient Greek mathematician Archimedes enumerated the eighteen regular and semi-regular solids, and they are known as Archimedean solids in his honor. Only the skeleton of the solid is shown in this model.
Some hobbyists enjoy figuring out how to make attractive models of geometric surfaces that have long been known. Harold Walter Benson, a machinist from Chicago, made this model in the 1990s, when he was retired and living in South Carolina.
Location
Currently not on view
Credit Line
Gift of Katherine B. Benson
1990s
ID Number
1999.0130.03
catalog number
1999.0130.03
accession number
1999.0130
Object Name
Geometric Model
Physical Description
wood (overall material)
Measurements
overall: 10 cm x 12.5 cm x 12 cm; 3 15/16 in x 4 29/32 in x 4 23/32 in
place made
United States: South Carolina, Clemson
See more items in
Medicine and Science: Mathematics
Science & Mathematics
National Museum of American History
Subject
Mathematics
Record ID
nmah_694522
Metadata Usage (text)
CC0
GUID (Link to Original Record)
https://n2t.net/ark:/65665/ng49ca746a5-4071-704b-e053-15f76fa0b4fa
Geometric models: Truncated Octahedron, Truncated icosahedron, Rhombicosidodecahedron
There are restrictions for re-using this image. For more information, visit the Smithsonian's Terms of Use page .
International media Interoperability Framework
IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more.
View manifest View in Mirador Viewer

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