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

Description:

Each of these three white plaster models has eight triangles and four parallelograms as top faces and an irregular octahedron for the bottom face. Various 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. The block of model 1985.0112.160 appears to be made up of stones of the shape 1985.0112.175.

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.

Date Made: 1892

Maker: L. Brill

Location: Currently not on view

Place Made: Germany: Hesse, Darmstadt

See more items in: Medicine and Science: Mathematics

Exhibition:

Exhibition Location:

Credit Line: Gift of Wesleyan University

Data Source: National Museum of American History

Id Number: 1985.0112.175Catalog Number: 1985.0112.175Accession Number: 1985.0112

Object Name: geometric modelsgeometric models

Physical Description: plaster (overall material)Measurements: overall: 1.5 cm x 6 cm x 6 cm; 19/32 in x 2 3/8 in x 2 3/8 in

Guid: http://n2t.net/ark:/65665/ng49ca746a5-405b-704b-e053-15f76fa0b4fa

Record Id: nmah_694053

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