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Geometric Model, L. Brill No. 201. Ser. 15 No. 6, Projection of a Polytope (One Hundred Twenty Cell)

Object Details

Description
This black wire model has a regular dodecahedron at its center and a lacework of wires going out, with numerous pentagons. The outside is a regular dodecahedron, with edges measuring 21.5 cm.
In the late nineteenth century, several mathematicians thought of ways of envisioning four-dimensional surfaces in three-dimensional space. The German mathematician Victor Schlegel developed a series of wire and thread models for the purpose. The series was first published by Ludwig Brill in 1886.
This model (presently misshapen and missing its threads) represents the 120-cell. It is the analog of a regular dodecahedron (which has twelve pentagons as faces, three around each vertex). The 120-cell is built up of 120 dodecahedra, three around each edge.
This example of the model was exhibited at the Columbian Exposition, a World’s Fair held in Chicago in 1893.
Compare 1985.0112.154 and 1985.0112.159.
Reference:
L. Brill, Catalog mathematischer Modelle. . ., Darmstadt: L. Brill, 1892, p. 31, 88.
Location
Currently not on view
Data Source
National Museum of American History
maker
L. Brill
date made
1892
Credit Line
Gift of Wesleyan University
Physical Description
metal (overall material)
Measurements
overall: 48.5 cm x 59 cm x 62 cm; 19 3/32 in x 23 7/32 in x 24 13/32 in
Object Name
geometric model
geometric model
Geometric Model, L. Brill No. 201. Ser. 15 No. 6, Projection of a Polytope (One Hundred Twenty Cell)
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