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Geometric Model, L. Brill No. 213. Ser. 19 No. 3, Space-Filling Surface

Geometric Model, L. Brill No. 213. Ser. 19 No. 3, Space-Filling Surface

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Description
This white plaster model has as faces triangles, parallelograms and four-pointed stars. Some line segments are indicated. A paper tag reads: 213. It 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, as in this case). The series was first published by Brill in 1891. Plaster stones that comprise the object with museum number 1985.0112.172 could be arranged to be part of the block with museum number 1985.0112.161. A model of this block and stones at the University of Göttingen (#333 in their collection) has three differently shaped blocks made from this kind of stone. There are two of these blocks is in the Smithsonian collections.
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 6, 2019.
Location
Currently not on view
Object Name
geometric model
geometric model
date made
1892
maker
L. Brill
place made
Germany: Hesse, Darmstadt
Physical Description
plaster (overall material)
Measurements
overall: 9 cm x 14 cm x 9.5 cm; 3 17/32 in x 5 1/2 in x 3 3/4 in
ID Number
1985.0112.161
catalog number
1985.0112.161
accession number
1985.0112
Credit Line
Gift of Wesleyan University
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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