Geometric Model, L. Brill Ser. 19, Model Relating to the Regular Partition of Three-Dimensional Space
date: label: date made
content: 1892
name: label: maker
content: L. Brill
notes: label: Description
content: This white plaster model has numerous flat faces which include triangles, quadrilaterals, pentagons, a hexagon and an octagon. 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 like this one (sometimes with congruent stones and sometimes, as in this case, 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 1985.0112.168 could be arranged to form this block with museum number 1985.0112.165. The stones are marked with the letters S and C, indicating whether they adjoin congruent or mirror image stones. Three stones are mirror images of the three others. A model of this block and stones at the University of Göttingen (#327 in their collection) has six stones and a block. The Smithsonian collections also include six stones and a block.
label: Description
content: This example of the model was exhibited at the Columbian Exposition, a World’s Fair held in Chicago in 1893.
label: Description
content: References:
label: Description
content: L. Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, pp. 46-47, 90-91.
label: Description
content: A Schoenflies, “Uber Reguläre Gebietstheilungen des Raumes,” <I>Nachrichten von der Königl. Gesellschaft der Wissenschaften</I>, #9, June 27, 1888, pp. 223-237.
label: Description
content: Göttingen Collection of Mathematical Models, presently online at http://modellsammlung.uni-goettingen.de/, accessed September 6, 2019.
label: Location
content: Currently not on view
place: label: place made
content: Germany: Hesse, Darmstadt
setName: label: See more items in
content: Medicine and Science: Mathematics
creditLine: label: Credit Line
content: Gift of Wesleyan University
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1985.0112.165
label: catalog number
content: 1985.0112.165
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric model
label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: plaster (overall material)
label: Measurements
content: overall: 10 cm x 16 cm x 11 cm; 3 15/16 in x 6 5/16 in x 4 11/32 in