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Model of a Twisted Polygon by Richard P. Baker, Baker #135

National Museum of American History

Object Details

Baker, Richard P.
Description
A twisted polygon is a closed broken line whose sides do not all lie in the same plane. This model shows four edges of such a polygon. For the three edges in the center of the model, a line segment perpendicular to two adjacent edges is indicated (these are binormals of the polygon at the point). The back of the model contains three quadrilaterals that contain two adjacent edges of the twisted polygon (that is to say, that represent part of three osculating planes of the polygon). It also contains two triangles representing planes normal to edges of the polygon at their midpoints (representing normal planes).
According to Baker’s catalog description, the model represented “osculating, normal and rectifying planes, rectifying lines” for a twisted polygon. The model sold for $2.00.
The model is presently in two pieces.
References:
R. P. Baker, Mathematical Models, Iowa City, Iowa, 1931, p. 11.
Richard P. Baker Papers, University Archives, University of Iowa, Iowa City, Iowa.
Location
Currently not on view
Credit Line
Gift of Frances E. Baker
ca 1906-1935
ID Number
MA.211257.022
accession number
211257
catalog number
211257.022
Object Name
geometric model
Other Terms
Osculating Planes and Cone with Center of Spherical Curvature.
Physical Description
metal (overall material)
white (overall color)
black (overall color)
bent and soldered (overall production method/technique)
Measurements
average spatial: 8.6 cm x 20.3 cm x 10.6 cm; 3 3/8 in x 8 in x 4 3/16 in
place made
Iraq
See more items in
Medicine and Science: Mathematics
Science & Mathematics
National Museum of American History
Subject
Mathematics
Record ID
nmah_1080286
Metadata Usage (text)
CC0
GUID (Link to Original Record)
https://n2t.net/ark:/65665/ng49ca746a9-1e47-704b-e053-15f76fa0b4fa
Model of a Twisted Polygon by Richard P. Baker, Baker No. 135
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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