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Geometric Model by A. Harry Wheeler, One-Sided Polyhedron

American History Museum

Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
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  • Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
  • Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
  • Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
  • Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
  • Geometric Model by A. Harry Wheeler, One-Sided Polyhedron
  • Geometric Models by A. Harry Wheeler, One-Sided Polyhedra
  • Geometric Models by A. Harry Wheeler, One-Sided Polyhedra
  • Geometric Model by A. Harry Wheeler, One-Sided Polyhedron

    Object Details

    maker

    Wheeler, Albert Harry

    Description

    In the late 1930s and early 1940s, A. Harry Wheeler took great interest in polyhedra with interpenetrating sides, such as had been discussed by the German mathematician August F. Moebius. In this example, each of the two like-colored quadrilaterals (e.g. the two yellow sides) on the top pass through the model and appear as a white quadrilateral on the bottom. These three figures thus contribute only one side to the polygon.
    A mark on the model reads: 695. This was Wheeler’s number for the model. Models MA.304723.413, MA.304723.397, and MA.304723.398 fit together. Model MA.304723.409 is a compound of four models like MA.304723.413.
    Reference:
    Kurt Reinhardt, “Zu Moebius’ Polyhedertheorie,” Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig. Mathematisch-Physische Classe, 37, pp. 106-125. Wheeler referred to this article.

    Location

    Currently not on view

    Credit Line

    Gift of Helen M. Wheeler

    date made

    ca 1940

    ID Number

    MA.304723.413

    accession number

    304723

    catalog number

    304723.413

    Object Name

    Geometric Model

    Physical Description

    plastic (overall material)
    white (overall color)
    blue (overall color)
    red (overall color)
    yellow (overall color)
    cut and glued (overall production method/technique)

    Measurements

    overall: 4 cm x 18.5 cm x 16 cm; 1 9/16 in x 7 9/32 in x 6 5/16 in

    place made

    United States: Massachusetts, Worcester

    Related Publication

    Wheeler, A.H.. List of Wheeler Models

    See more items in

    Medicine and Science: Mathematics
    Science & Mathematics
    Mathematical Association of America Objects

    Data Source

    National Museum of American History

    Subject

    Mathematics

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746a9-2fc2-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1069221

    Discover More

    Figure made of 4 intersecting cubes. One is yellow, one black, one red, and one blue.

    Geometric Models - A. Harry Wheeler

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