The design of this plaster model follows one built Edward Kummer (1810-1893), a mathematics professor in Berlin. Examples were first published by Brill in 1883.
The model represents a cross-cap, the self-intersection of a one-sided surface. It is a Dupin cyclide with a double curve, the self-intersection of the surface with two different tangential planes. A torn paper tag reads: [. . .}6. A second tag reads: Fl. 4. Ord. mit 1 Doppelgeraden. (/) Verl. v. L. Brill. 9. Ser. Nr. 9.
This example 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. 19.
Fischer, Gerd, ed., Mathematical Models, vol. 1, Braunschweig / Wiesbaden: Vieweg, 1986, p. 108.
Fischer, Gerd, ed., Mathematical Models, vol. 2, Braunschweig / Wiesbaden: Vieweg, 1986, pp. 63-64.
Groeningen University website, accessed September 2, 2019.
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