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Geometric Model by A. Harry Wheeler, Transformation of Two Equal Rhombic Dodecahedra into Rhombic Dodecahedron of the Second Species, Dissected Polyhedron (Portion)

American History Museum

Dissected Polyhedron of A. H. Wheeler - Rhombic Dodecahedron
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  • Dissected Polyhedron of A. H. Wheeler - Rhombic Dodecahedron
  • Two Rhombic Dodecahedra, One Dissected
  • Dissected Polyhedron of A. H. Wheeler - Rhombic Dodecahedron, Disassembled
  • Geometric Model, Dissected Rhombic Dodecahedron
  • Geometric Model, Dissected Rhombic Dodecahedron
  • Geometric Model, Dissected Rhombic Dodecahedron
  • Geometric Model, Dissected Rhombic Dodecahedron
  • Two Rhombic Dodecahedra, One Dissected

    Object Details

    maker

    Wheeler, Albert Harry

    Description

    This dissected hinged paper model of a rhombic dodecahedron is divided into twelve equal pyramids with bases athat are rhombuses (and faces of the dodecahedron). Rearranged, the pyramids become the points of what Wheeler calls a rhombic dodecahedron of the second species. Taken with a second rhombic docahedron of this type, it becomes an entire rhombic dodecahedron of the second species. The second rhombic dodecahedron is 1979.0102.131. Hence the two models together form a transformation of two equal rhombic dodecahedra into a rhombic dodecahedron of the second species.
    This is one of Wheeler's earliest dated dissected polyhedra. It has his number 781.

    Location

    Currently not on view

    Credit Line

    Gift of Helen M. Wheeler

    date made

    1930 01 31

    ID Number

    MA.304723.325

    accession number

    304723

    catalog number

    304723.325

    Object Name

    Geometric Model

    Physical Description

    paper (overall material)
    tan (overall color)
    cut and folded (overall production method/technique)

    Measurements

    average spatial: 11 cm x 13.5 cm x 13.5 cm; 4 11/32 in x 5 5/16 in x 5 5/16 in

    place made

    United States: Massachusetts, Worcester

    See more items in

    Medicine and Science: Mathematics
    Dissected Polyhedra
    Science & Mathematics

    Data Source

    National Museum of American History

    Subject

    Mathematics

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746a9-1944-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1067706

    Discover More

    A tan bisected cube. The area where the cube is divided reveals alternating yellow and red, and green and red, patterns.

    Dissected Polyhedra Transformable into Other Polyhedra

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