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

American History Museum

Model of a Twisted Polygon by Richard P. Baker, Baker No. 135
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  • Model of a Twisted Polygon by Richard P. Baker, Baker No. 135
  • Geometric Model by Richard P. Baker, Metal Surface Showing Normal and Rectifying Planes
  • Geometric Model by Richard P. Baker, Metal Surface Showing Normal and Rectifying Planes
  • Geometric Model by Richard P. Baker, Metal Surface Showing Normal and Rectifying Planes
  • Model of a Twisted Polygon by Richard P. Baker, Baker No. 135

    Object Details

    maker

    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

    date made

    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

    Data Source

    National Museum of American History

    Subject

    Mathematics

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746a9-1e47-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1080286

    Discover More

    Mathematical model of a twisted cubic. Yellow threads are pulled, then twisted to make two cones. Red threads are arranged in a cylinder.

    Geometric Models - Models by Richard P. Baker

    Mathematical model of a twisted cubic. Yellow threads are pulled, then twisted to make two cones. Red threads are arranged in a cylinder.

    Geometric Models - Models by Richard P. Baker

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