Geometric Models, L. Brill Ser. 19, Models Relating to the Regular Partition of Three-Dimensional Space

Geometric Models, L. Brill Ser. 19, Models Relating to the Regular Partition of Three-Dimensional Space

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Description
Each of these three white plaster models has eight triangles and four parallelograms as top faces and an irregular octahedron for the bottom face. Various line segments are indicated.
This is one of a series of models designed by A. Schoenflies in Göttingen to illustrate the regular partition of space. Schoenflies designed “stones" which could be arranged into larger blocks (sometimes with congruent stones and sometimes using stones that were mirror images of one another). The series was first published by Brill in 1891. The block of model 1985.0112.160 appears to be made up of stones of the shape 1985.0112.175.
This example of the model was exhibited at the Columbian Exposition, a World’s Fair held in Chicago in 1893.
References:
L. Brill, Catalog mathematischer Modelle..., Darmstadt: L. Brill, 1892, pp. 46-47, 90-91.
A Schoenflies, “Uber Reguläre Gebietstheilungen des Raumes,” Nachrichten von der Königl. Gesellschaft der Wissenschaften, #9, June 27, 1888, pp. 223-237.
Göttingen Collection of Mathematical Models, presently online at http://modellsammlung.uni-goettingen.de/, accessed September 10, 2019.
Location
Currently not on view
Object Name
geometric models
geometric models
date made
1892
maker
L. Brill
place made
Germany: Hesse, Darmstadt
Physical Description
plaster (overall material)
Measurements
overall: 1.5 cm x 6 cm x 6 cm; 19/32 in x 2 3/8 in x 2 3/8 in
ID Number
1985.0112.175
catalog number
1985.0112.175
accession number
1985.0112
Credit Line
Gift of Wesleyan University
See more items in
Medicine and Science: Mathematics
Data Source
National Museum of American History
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