Thomas, BG orcid.org/0000-0002-5461-0491, Twarock, R, Valiunas, M et al. (1 more author) (2015) Nested Polytopes with Non-crystallographic Symmetry Induced by Projection. In: Proceedings of Bridges: Mathematical Connections in Art, Music and Science 2015. Bridges: Mathematical Connections in Art, Music and Science, 29 Jul - 02 Aug 2015, University of Baltimore, USA. Tessellations Publishing, pp. 167-174. ISBN: 978-1-938664-15-1 ISSN: 1099-6702 EISSN: UNSPECIFIED
Abstract
Inspired by the structures of viruses and fullerenes in biology and chemistry, we have recently developed a method to construct nested polyhedra and, more generally, nested polytopes in multi-dimensional geometry with non-crystallographic symmetry. In this paper we review these results, presenting them from a geometrical point of view. Examples and applications in science and design are discussed.
Metadata
| Item Type: | Proceedings Paper |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | (c) 2015, The Author(s). Reproduced in accordance with the publisher's self-archiving policy. |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Systems and Design (iESD) (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 18 Aug 2015 14:34 |
| Last Modified: | 18 Nov 2020 13:54 |
| Published Version: | http://archive.bridgesmathart.org/2015/bridges2015... |
| Status: | Published |
| Publisher: | Tessellations Publishing |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89034 |

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