Skip to main content Skip to main navigation
heart-solid My Visit Donate
Home Smithsonian Institution IK development site for ODI
Press Enter to activate a submenu, down arrow to access the items and Escape to close the submenu.
    • Overview
    • Museums and Zoo
    • Entry and Guidelines
    • Museum Maps
    • Dine and Shop
    • Accessibility
    • Visiting with Kids
    • Group Visits
    • Overview
    • Exhibitions
    • Online Events
    • All Events
    • IMAX & Planetarium
    • Overview
    • Topics
    • Collections
    • Research Resources
    • Stories
    • Podcasts
    • Overview
    • For Caregivers
    • For Educators
    • For Students
    • For Academics
    • For Lifelong Learners
    • Overview
    • Become a Member
    • Renew Membership
    • Make a Gift
    • Volunteer
    • Overview
    • Our Organization
    • Our Leadership
    • Reports and Plans
    • Newsdesk
heart-solid My Visit Donate

Geometric Model by A. Harry Wheeler, Cube Transformable into a Stella Octangula and Three Regular Octahedra, Dissected Polyhedron

American History Museum

Dissected Polyhedron of A. H. Wheeler - Dissected Cube, Disassembled - Pieces Could Form Stella Octungula and Three Octahedra
There are restrictions for re-using this image. For more information, visit the Smithsonian's Terms of Use page .
International media Interoperability Framework
IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more.
View manifest View in Mirador Viewer
  • Dissected Polyhedron of A. H. Wheeler - Dissected Cube, Disassembled - Pieces Could Form Stella Octungula and Three Octahedra
  • Dissected Polyhedron of A. H. Wheeler - Dissected Cube, in Box
  • Dissected Polyhedron of A. H. Wheeler - Dissected Cube, Box Unfolded
  • Dissected Polyhedron of A. H. Wheeler - Dissected Cube, Disassembled - Pieces Could Form Stella Octungula and Three Octahedra
  • Dissected Polyhedron of A. H. Wheeler - Dissected Cube, Disassembled - Pieces Could Form Stella Octungula and Three Octahedra

    Object Details

    maker

    Wheeler, Albert Harry

    Description

    This model has a box in the shape of a cube which contains 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 a cube into a stella octangula and three octahedra.
    A mark on the object reads: Cube with (/) 4 Octahedra (2) Stella Octangula. Another mark reads: 764.
    Compare MA.304723.284 (small, paper), MA.304723.308 (slightly larger, paper), MA.304723.318 (large size, paper) and MA.304723.305. (large size, plastic).

    Location

    Currently not on view

    Credit Line

    Gift of Helen M. Wheeler

    ID Number

    MA.304723.318

    accession number

    304723

    catalog number

    304723.318

    Object Name

    Geometric Model

    Physical Description

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

    Measurements

    average spatial: 9.5 cm x 9.5 cm x 9.5 cm; 3 3/4 in x 3 3/4 in x 3 3/4 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/ng49ca746b3-2f8e-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1067673

    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

    arrow-up Back to top
    Home
    • Facebook facebook
    • Instagram instagram
    • LinkedIn linkedin
    • YouTube youtube

    • Contact Us
    • Get Involved
    • Shop Online
    • Job Opportunities
    • Equal Opportunity
    • Inspector General
    • Records Requests
    • Accessibility
    • Host Your Event
    • Press Room
    • Privacy
    • Terms of Use