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Model of the Surface of Tangents to a Twisted Cubic by Richard P. Baker, Baker #140 (a Ruled Surface)

National Museum of American History

Object Details

Baker, Richard P.
Baker, Richard P.
Description
This geometric model was constructed by Richard P. Baker in the early twentieth century when he was Associate Professor of Mathematics at the University of Iowa. Baker believed that models were essential for the teaching of many parts of mathematics and physics, and over 100 of his models are in the museum collections.
When the model was constructed there was probably a copper wire representing a twisted cubic, a smooth curve in three dimensions so that each of the three variables is represented as a polynomial in a fourth variable and each of these polynomials is of degree at most three with at least one of the three a cubic polynomial. Since the blue threads represent the lines that are tangent to that, now missing, curve, the wire representing it probably ran from pieces of wood attached to the wooden base as seen on the left and right sides of the model in image NMAH-DOR2013-18269. That placement would make the twisted cubic have a shape similar to the copper wire seen in MA.211257.023.
Location
Currently not on view
Credit Line
Gift of Frances E. Baker
ca 1906-1935
ID Number
MA.211257.024
accession number
211257
catalog number
211257.024
Object Name
geometric model
Physical Description
thread (overall material)
wood (overall material)
metal (overall material)
blue (overall color)
copper (overall color)
black (overall color)
screwed, bolted & soldered (overall production method/technique)
Measurements
average spatial: 28.4 cm x 25.2 cm x 25.4 cm; 11 3/16 in x 9 29/32 in x 10 in
See more items in
Medicine and Science: Mathematics
Science & Mathematics
National Museum of American History
Subject
Mathematics
Record ID
nmah_1081132
Metadata Usage (text)
CC0
GUID (Link to Original Record)
https://n2t.net/ark:/65665/ng49ca746a9-3013-704b-e053-15f76fa0b4fa
Geometric Model by Richard P. Baker, Ruled Surface Showing Tangents to Twisted Cubic
There are restrictions for re-using this image. For more information, visit the Smithsonian's Terms of Use page .
International media Interoperability Framework
IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more.
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