Geometric Models, L. Brill No. 217 218 or 219. Ser. 19, Models Relating to the Regular Partition of Three-Dimensional Space


The dimensions given are for each of these six plaster models. All of them are eleven-sided polyhedra. Three models are identical and the other three are mirror images of the first. Each model has a hexagonal top, six square faces, and six triangular faces (in two sizes). Some of the markings are in color. Various faces and parts of faces are marked S, C, underlined S, or doubly underlined S, indicating faces they adjoin which are either parts of congruent pieces or mirror image pieces. This model resembles number #325 in the Göttingen collection. The Göttingen model has a total of two blocks and sixteen pieces.

This is part of a series of models designed by A. Schoenflies in Göttingen to illustrate the regular partition of space. Schoenflies designed “stones” like these 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.

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 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 Location:

Credit Line: Gift of Wesleyan University

Data Source: National Museum of American History

Id Number: 1985.0112.167Catalog Number: 1985.0112.167Accession Number: 1985.0112

Object Name: geometric modelgeometric models

Physical Description: plaster (overall material)Measurements: overall: 2.5 cm x 3.5 cm x 6.8 cm; 31/32 in x 1 3/8 in x 2 11/16 in


Record Id: nmah_694045

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