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

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

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This is one of a series of models designed by A. Schoenflies in Göttingen to illustrate the regular partition of space. Schoenflies designed “stones" that 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 plaster stones that comprise the object with museum number 1985.0112.177 could be arranged to form a block with museum number 1985.0112.166. These objects have no maker’s marks.
A model of this block and stones at the University of Göttingen (#329 in their collection) has two stones and a block. The Smithsonian collections include three such stones as well as a block.
This example of the model was exhibited at the Columbian Exposition, a World’s Fair held in Chicago in 1893.
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, accessed September 6, 2019.
Currently not on view
Object Name
geometric model
geometric model
date made
L. Brill
place made
Germany: Hesse, Darmstadt
Physical Description
plaster (overall material)
overall: 12 cm x 20.5 cm x 12.5 cm; 4 23/32 in x 8 1/16 in x 4 29/32 in
ID Number
catalog number
accession number
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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