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

Object Details

Description
Each of these three identical white plaster models has the dimensions given. Each has a parallelogram and six triangles for faces. Several 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. In this case, the block that was originally part of this model apparently does not survive, and one only has three stones.
A model of a block and three stones at the University of Göttingen (#332 in their collection) has stones like these.
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
Data Source
National Museum of American History
maker
L. Brill
date made
1892
Credit Line
Gift of Wesleyan University
Physical Description
plaster (overall material)
Measurements
overall: 3 cm x 6.7 cm x 3 cm; 1 3/16 in x 2 5/8 in x 1 3/16 in
Object Name
geometric models
Geometric Models, L. Brill Ser. 19, Models Relating to the Regular Partition of Three-Dimensional Space
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