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
CountryKorea, Republic of
Internet address


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