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Geometric Model, L. Brill No. 206. Ser. 17 No. 3b, Surface of Constant Positive Curvature, Sievert's Surface

Object Details

Description
This plaster model consists of four roughly spherical parts attached to one another. It represents a surface of constant positive curvature. More specifically, it is a surface of Enneper of elliptic type. The Enneper surface is a minimal surface (a surface of zero mean curvature) that intersects itself.
A paper tag on the model reads: 206. Another tag reads: Fläche von const. posit. Krűmm.-Mass [/] mit einem System ebener Krűmm.-Lin. [/] II. Cycl. Typus [/] Verl. v. L. Brill. 17. Ser. Nr. 3b.
The model was designed for Ludwig Brill by Georg H. L. Sievert in 1886. A student of Alexander Brill in Munich, Sievert spent much of his career teaching mathematics in Nuremberg and Bayreuth.
This example of the model was exhibited at the German Educational Exhibit at the Columbian Exposition, a World’s Fair held in Chicago in 1893. It there was purchased by Wesleyan University in Connecticut, and subsequently was donated to the Smithsonian.
References:
L. Brill, Catalog mathematischer Modelle. . ., Darmstadt: L. Brill,1892, p. 41, 81.
Accession file.
http://www.math.rug.nl/models/ - This website displays an example of the model sold somewhat later by Brill’s successor, Martin Schilling. Schilling sold this model as Ser. 17, No. 3.
G. Fischer, Mathematical Models,vol. I, p. 83 (Photo #87), vol. 2, pp. 38-39.
Location
Currently not on view
Data Source
National Museum of American History
maker
L. Brill
date made
1892
Credit Line
Gift of Wesleyan University
Physical Description
plaster (overall material)
Measurements
overall: 8.5 cm x 14.5 cm x 17.5 cm; 3 11/32 in x 5 23/32 in x 6 7/8 in
Object Name
geometric model
geometric model
There are restrictions for re-using this image. For more information, visit the Smithsonian's Terms of Use page .
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