Geometric Model, L. Brill No. 91. Ser. 12 No. 1, Space Curve of Fourth Order
date: label: date made
content: 1892
name: label: maker
content: L. Brill
notes: label: Description
content: This is one of four string models showing space curves of fourth order that were designed by the German mathematician Hermann Wiener (1857-1939) and first published by Ludwig Brill in 1884. The model has a metal frame painted black. The top of the frame has a small circle, the bottom a large one. Joining these with strings (all the strings of this example are missing) would produce a double cone. Joining other pieces on the top and sides would produce part of a double elliptic cone. Joining small ellipses on two opposite sides would produce an elliptic cylinder, considered as another form of cone. Joining opposites hyperbolic arcs would produce a hyperbolic cylinder, treated here as a fourth cone. Hence the model is considered as consisting of four real cones, with lines of intersection marked by beads representing a space curve of fourth order. This example of the model has no tag.
label: Description
content: This example of the model was exhibited at the Columbian Exposition, a World’s Fair held in Chicago in 1893. It came to the Smithsonian from Wesleyan University in 1985.
label: Description
content: References:
label: Description
content: L. Brill, <I>Catalog mathematischer Modelle...</I>, Darmstadt: L. Brill, 1892, p. 24, 74.
label: Description
content: There is an example of the model, produced slightly later by Martin Schilling and having strings, at the University of Utrecht. It is shown on the website https://www.uu.nl/en/research/3d-geometric-models/schilling-1201. This website was accessed August 18, 2020.
label: Location
content: Currently not on view
place: label: place made
content: Germany: Hesse, Darmstadt
topic: label: Subject
content: Mathematics
setName: label: See more items in
content: Medicine and Science: Mathematics
label: See more items in
content: Science & Mathematics
creditLine: label: Credit Line
content: Gift of Wesleyan University
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1985.0112.065
label: catalog number
content: 1985.0112.065
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric model
label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: metal (overall material)
label: Measurements
content: overall: 32.7 cm x 32 cm x 32 cm; 12 7/8 in x 12 19/32 in x 12 19/32 in