In the event of a government shutdown, American History will remain OPEN through at least Saturday, October 7, by using prior year funds. Visit for updates.

Geometric Model, L. Brill No. 125. Ser. 2 No. 7, Third Order Surface with Four Double Points

Geometric Model, L. Brill No. 125. Ser. 2 No. 7, Third Order Surface with Four Double Points

<< >>
Usage conditions apply
This white plaster model is of a third order surface with four real conic double points. It has a circular or near-circular base, three graceful high points, and a curved, four-sided central piece attached by wires. The surface has various red and yellow lines.
Brill began to sell this model in 1877. It was among the first models he published, and was designed by J. Bacharach, studying at the technical institute in Munich under the direction of Felix Klein.
A paper tag reads: Fläche dritter Ordnung. (/) Verl. v. L. Brill. 2. Ser. Nr. VII.
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, p.5, 79.
Fischer, Gerd, ed., Mathematical Models, vol. 1, Braunschweig / Wiesbaden: Vieweg, 1986, p. 16.
Fischer, Gerd, ed., Mathematical Models, vol. 2, Braunschweig / Wiesbaden: Vieweg, 1986, pp. 12-14.
Currently not on view
Object Name
geometric model
geometric model
date made
L. Brill
place made
Germany: Hesse, Darmstadt
Physical Description
plaster (overall material)
overall: 22.2 cm x 13 cm x 13 cm; 8 3/4 in x 5 1/8 in x 5 1/8 in
ID Number
catalog number
accession number
Credit Line
Gift of Wesleyan University
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
Nominate this object for photography.   

Our collection database is a work in progress. We may update this record based on further research and review. Learn more about our approach to sharing our collection online.

If you would like to know how you can use content on this page, see the Smithsonian's Terms of Use. If you need to request an image for publication or other use, please visit Rights and Reproductions.

Note: Comment submission is temporarily unavailable while we make improvements to the site. We apologize for the interruption. If you have a question relating to the museum's collections, please first check our Collections FAQ. If you require a personal response, please use our Contact page.