Binary Icosahedral Group and 600-Cell
- 주제(키워드) binary polyhedral group , icosahedron , dodecahedron , 600-cell
- 주제(기타) Multidisciplinary Sciences
- 설명문(일반) [Choi, Jihyun; Lee, Jae-Hyouk] Ewha Womans Univ, Dept Math, 52 Ewhayeodae Gil, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 MDPI
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000156497
- 본문언어 영어
- Published As http://dx.doi.org/10.3390/sym10080326
초록/요약
In this article, we have an explicit description of the binary isosahedral group as a 600-cell. We introduce a method to construct binary polyhedral groups as a subset of quaternions H via spin map of SO(3). In addition, we show that the binary icosahedral group in H is the set of vertices of a 600-cell by applying the Coxeter-Dynkin diagram of H-4.
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