Geometric Model, M. Schilling No. 156 Ser. 28 No. 5, Tangents to a Cubic Ellipse

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This ruled surface has a black metal frame. The top and bottom are irregular quadrilaterals with curved sides, oriented in opposite directions. Two opposite sides are in the shape of quadrilaterals with curved sides. The surface is ruled with red threads.
This is one of six models designed by Walter Ludwig of Breslau on the suggestion of Felix Klein and with the participation of Frederick Schilling. It sold from 1902. The metal model, painted black, is presently in six pieces; a top, a bottom and four sides. Various tan strings remain, but the surface is largely lost. The dimensions given are for the model unassembled.
Compare 1982.0795.46.
Schilling sold the model as the "Abwickelbare Fläche der Tangenten der Raumcurve." The strings represent tangents to a third order space curve (in this case a cubic ellipse).
M. Schilling, Catalog, 1911, p. 72-74, 133.
Currently not on view
date made
Schilling, Martin
place made
Deutschland: Sachsen, Leipzig
Physical Description
metal (overall material)
thread (overall material)
overall: 36.2 cm x 41 cm x 33 cm; 14 1/4 in x 16 5/32 in x 13 in
ID Number
catalog number
accession number
Credit Line
Gift of Brown University Department of Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History


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