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Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic

American History Museum

Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
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  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic
  • Ruled Surface by Richard P. Baker, Quartic Surface Developable of a Twisted Cubic

    Object Details

    maker

    Richard P. Baker

    Description

    This string model was constructed by Richard P. Baker, long on the faculty of the University of Iowa. He believed that models were essential for the teaching of many parts of mathematics and physics, and over one hundred of his models are in the museum collections.
    The blue yarn represents a curve called a twisted cubic, which cannot be contained in a plane. The tangent lines to the twisted cubic are represented by yellow threads. The mathematician Leonhard Euler had proved that the surface generated by these tangents can be flattened into a plane.
    A paper tag on the bottom of the frame reads: Quartic surface (/) developable of (/) a twisted cubic. It does not include Baker's name.
    Compare to 1985.0112.128 (a model by the German maker Ludwig Brill) and MA.211257.122 (a mirror image of this model, by Baker).

    Location

    Currently not on view

    Credit Line

    Gift of Brown University Department of Mathematics

    ID Number

    MA.304722.29

    catalog number

    304722.29

    accession number

    304722

    Object Name

    Geometric Model
    geometric model

    Physical Description

    wood (overall material)
    thread (overall material)

    Measurements

    overall: 36 cm x 36 cm x 36 cm; 14 3/16 in x 14 3/16 in x 14 3/16 in

    place made

    United States: Iowa

    See more items in

    Medicine and Science: Mathematics
    Science & Mathematics

    Data Source

    National Museum of American History

    Subject

    Mathematics
    Mathematics

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746aa-a121-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1213864

    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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