Geometric Models, L. Brill Ser. 19, Models 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: Each of these three identical white plaster models has the dimensions given. Each model has eight triangular faces for sides and a parallelogram for the base. There is a line segment indicated which stretches across four triangles on each model. A diagonal is indicated on the parallelogram. Two of these models can be arranged together to form a polyhedron congruent to two of model 1985.0112.0172.
label: Description
content: 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 plaster stones that comprise the object with museum number 1985.0112.174 could be arranged to form a block with museum number 1985.0112.162. A model of this block and stones at the University of Göttingen (#330 in their collection) has three stones and a block. The Smithsonian collections include three such stones (these objects) 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: 1985.0112.174
label: catalog number
content: 1985.0112.174
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric models
label: Object Name
content: geometric models
physicalDescription: label: Physical Description
content: plaster (overall material)
label: Measurements
content: overall: 3 cm x 6 cm x 6 cm; 1 3/16 in x 2 3/8 in x 2 3/8 in