Kinochoron: A Manipulable Wire Model of the 16-cell

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


    4-dimensional polytopes can be visualized by projecting them to our 3-space. The projections are usually represented either with computer-generated animations or with rigid objects. This paper deals with the possibility of representing a polychoron with a kinetic 3-dimensional model. A stereographic projection of the 16-cell is constructed with six hexagram links of wire forming Chinese crosses at the eight vertices. The symmetry of the model permits a manipulation similar to the ‘hyper-rotation’ in animations representing stereographic projections of polychora. Playing with the design offers a hands-on approach to the study of 4-dimensional geometry and the hypersphere.
    Original languageEnglish
    Title of host publicationProceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture
    EditorsGeorge Hart Gary Greenfield
    Place of PublicationPhoenix, Arizona
    PublisherTessellations Publishing
    Number of pages6
    ISBN (Print)978-1-938664-11-3
    Publication statusPublished - 2014
    MoE publication typeA4 Article in a conference publication
    EventBridges Seoul: Mathematics, Music, Art, Architecture, Culture - Gwacheon National Science Museum, Seoul, Korea, Republic of
    Duration: 14 Aug 201419 Aug 2014
    Conference number: 17


    ConferenceBridges Seoul
    Country/TerritoryKorea, Republic of
    Internet address


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