Ruled Surface with Chrome Frame, Intersecting Hyperboloids of One Sheet

Ruled Surface with Chrome Frame, Intersecting Hyperboloids of One Sheet

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This ruled surface has a chrome circular ring for the base and top of the frame, with three vertical supports. On both top and there also is a small round ring in the same plane as the large ring and intersecting it. Blue threads join the holes of the two large circles to form a hyperboloid of one sheet, with circular cross-section. Red threads join the small circles to form another hyperboloid of one sheet. One yellow thread is on both the red and the blue surfaces.
This is one of eight models of rules surfaces having a chrome frame given to the Smithsonian by Brown University (see MA.304722.35 through MA.304722.42). All these models are unsigned. Models of this general appearance were shown by Saul Pollock of Indiana State Teacher’s College in Terre Haute, Indiana, at the Century of Progress world’s fair, held in Chicago in 1934. A. Harry Wheeler, a mathematics teacher and maker of geometric models, visited the fair and noted Pollock’s models. Wheeler also communicated with mathematicians at Brown, and exhibited some of his models there. The models might be by Pollock, they might be copies by Wheeler.
Century of Progress, Official Handbook of Exhibits in the Division of the Basic Sciences Hall of Science, Chicago, 1934, p. 39-40, 43.
P.A. Kidwell, “American Mathematics Viewed Objectively: The Case of Geometric Models,” Vita Mathematica, ed. Ronald Calinger, Washington, DC: Mathematical Association of America, 1996, pp. 197-207.
Currently not on view
Object Name
Geometric Model
geometric model
date made
ca 1934
Physical Description
chrome (overall material)
thread (overall material)
overall: 28 cm x 29.5 cm x 23.5 cm; 11 1/32 in x 11 5/8 in x 9 1/4 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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