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Cube Transformable into A Stella Octangula and Three Octahedra - Dissected Polyhedron

American History Museum

Geometric Model by A. H. Wheeler - Cube Dissected into Three Octahedra and a Stella Octungula - as Cube
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  • Geometric Model by A. H. Wheeler - Cube Dissected into Three Octahedra and a Stella Octungula - as Cube
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts
  • Dissected Polyhedron of A. H. Wheeler - Parts

    Object Details

    maker

    Wheeler, Albert Harry

    Description

    This model includes one model of a regular octahedron, two pieces which fit around the octahedron to form a stellated octahedron or stella octangula (to use Kepler's language), and three sets of four triangular pyramids hinged together. These twelve pyramids fit around the points of the octangula to complete the cube. Each set of four may also be arranged to form a regular octahedron congruent to the one inside the stellar octangula. Hence this is a dissection of the volume of a cube into a stella octangula and three octahedra.
    A mark on the object reads: 764.
    Compare MA.304723.284 (small, paper), MA.304723.308 (slightly larger, paper), MA.304723.318 (large size, paper) and MA.304723.305.

    Location

    Currently not on view

    Credit Line

    Gift of Helen M. Wheeler

    ID Number

    MA.304723.305

    accession number

    304723

    catalog number

    304723.305

    Object Name

    Geometric Model

    Physical Description

    plastic (overall material)
    tan (overall color)
    cut and taped (overall production method/technique)

    Measurements

    average spatial: 9 cm x 9 cm x 9 cm; 3 17/32 in x 3 17/32 in x 3 17/32 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/ng49ca746a9-1f39-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1067593

    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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