Abstrakti
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.
Alkuperäiskieli | Englanti |
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Otsikko | Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture |
Toimittajat | George Hart Gary Greenfield |
Julkaisupaikka | Phoenix, Arizona |
Kustantaja | Tessellations Publishing |
Sivut | 191-196 |
Sivumäärä | 6 |
ISBN (painettu) | 978-1-938664-11-3 |
Tila | Julkaistu - 2014 |
OKM-julkaisutyyppi | A4 Artikkeli konferenssijulkaisussa |
Tapahtuma | Bridges Seoul: Mathematics, Music, Art, Architecture, Culture - Gwacheon National Science Museum, Seoul, Etelä-Korea Kesto: 14 elok. 2014 → 19 elok. 2014 Konferenssinumero: 17 http://bridgesmathart.org/bridges-2014/ |
Conference
Conference | Bridges Seoul |
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Maa/Alue | Etelä-Korea |
Kaupunki | Seoul |
Ajanjakso | 14/08/2014 → 19/08/2014 |
www-osoite |