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Geometric Model by A. Harry Wheeler, Square Transformable into Pentagon Transformable into Hexagon, Plane Dissection

American History Museum

Plane Dissection, Nine triangles, four quadrilaterals, and two pentagons that can be arranged as a square.
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  • Plane Dissection, Nine triangles, four quadrilaterals, and two pentagons that can be arranged as a square.
  • Geometric Model - Plane Dissection by A. Harry Wheeler, with Pieces Arranged as Pentagon, Square, and Hexagon

    Object Details

    maker

    Wheeler, Albert Harry

    Description

    This square is cut into fifteen pieces. These pieces have colorful plastic tops glued to wood. They fit in box with wooden base, paper lining, plastic sides and a plastic top.
    The pieces may be arranged to form a square, a pentagon or a hexagon.
    A pattern is in 1979.3002.43 (folder 1). Drawings of triangle-square-pentagon (14 pieces), triangle-square-pentagon-hexagon (26 pieces), square-pentagon-hexagon (15 pieces), triangle-square-hexagon (13 pieces)dated December 21, 1931 are in 1979.3002.43, folder 3.
    See models MA.304723.785 and MA.304723.800.
    This model apparently is not on Wheeler's list of decompositions of polygons.

    Location

    Currently not on view

    Credit Line

    Gift of Helen M. Wheeler

    date made

    ca 1931

    ID Number

    MA.304723.768

    accession number

    304723

    catalog number

    304723.768

    Object Name

    geometric model

    Physical Description

    paper (overall material)
    plastic (overall material)
    wood (overall material)
    green (overall color)
    purple (overall color)
    yellow (overall color)
    turquiose (overall color)
    white (overall color)
    brown (overall color)
    red (overall color)
    black (overall color)
    cut and glued (overall production method/technique)

    Measurements

    average spatial: 3 cm x 16 cm x 16 cm; 1 3/16 in x 6 5/16 in x 6 5/16 in

    place made

    United States: Massachusetts, Worcester

    associated place

    United States: Massachusetts, Worcester

    See more items in

    Medicine and Science: Mathematics
    Science & Mathematics
    Plane Dissections

    Data Source

    National Museum of American History

    Subject

    Mathematics

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746a9-3c1a-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1074344

    Discover More

    Wooden hinged dissection comprised of four trapezoids arranged in a square, a triangle, and a smaller square.

    Geometric Models – Plane Dissections

    Wooden hinged dissection comprised of four trapezoids arranged in a square, a triangle, and a smaller square.

    Geometric Models – Plane Dissections

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