Abstract
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 language | English |
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| Title of host publication | Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture |
| Editors | George Hart Gary Greenfield |
| Place of Publication | Phoenix, Arizona |
| Publisher | Tessellations Publishing |
| Pages | 191-196 |
| Number of pages | 6 |
| ISBN (Print) | 978-1-938664-11-3 |
| Publication status | Published - 2014 |
| MoE publication type | A4 Conference publication |
| Event | Bridges Seoul: Mathematics, Music, Art, Architecture, Culture - Gwacheon National Science Museum, Seoul, Korea, Republic of Duration: 14 Aug 2014 → 19 Aug 2014 Conference number: 17 http://bridgesmathart.org/bridges-2014/ |
Conference
| Conference | Bridges Seoul |
|---|---|
| Country/Territory | Korea, Republic of |
| City | Seoul |
| Period | 14/08/2014 → 19/08/2014 |
| Internet address |