Geometric Model, L. Brill No. 148. Ser. 10 No. 1a, Minimal Surface in Two Parts

Description:

Students at the technical high school in Munich, working under the direction of Alexander Brill, developed a series of wire models of minimal surfaces that was first published by Ludwig Brill in 1885. A minimal surface is the surface of smallest area of all the surfaces bounded by a closed curve in space. Its mean curvature is zero. Minimal surfaces are often represented by soap films, as was the intention with this model.

This, the first model in the series, is in two parts. One is a wire circle with three wire supports and the second circle of the same diameter with a handle. If the circles are held together, a soap film spans both of them. Separating the circles produces a film in the shape of a catenoid and then, when the circles are separated further, circles span the two discs separately.

This example 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, p. 21, 85.

G. Fischer, Mathematical Models: Commentary, Braunschweig / Wiesbaden: Friedr. Vieweg & Sohn, 1986, pp. 41-43.

A. T. Fomenko, The Plateau Problem, Part I, Historical Survey, New York: Gordon and Breach, 1990, pp. 22-34.

J. Plateau, Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires, vol. 1, Paris: Gauthier-Villars, 1873, pp. 93-103. This work is mentioned in the Brill catalog.

Date Made: 1892

Maker: L. Brill

Location: Currently not on view

Place Made: Germany: Hesse, Darmstadt

Subject: Mathematics

Subject:

See more items in: Medicine and Science: Mathematics, Science & Mathematics

Exhibition:

Exhibition Location:

Credit Line: Gift of Wesleyan University

Data Source: National Museum of American History

Id Number: 1985.0112.106Catalog Number: 1985.0112.106Accession Number: 1985.0112

Object Name: geometric modelgeometric model

Physical Description: metal (overall material)Measurements: overall: 7.2 cm x 8 cm x 8 cm; 2 27/32 in x 3 5/32 in x 3 5/32 in

Guid: http://n2t.net/ark:/65665/ng49ca746a5-1380-704b-e053-15f76fa0b4fa

Record Id: nmah_693982

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