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Binary Icosahedral Group and 600-Cell

Title
Binary Icosahedral Group and 600-Cell
Authors
Choi, JihyunLee, Jae-Hyouk
Ewha Authors
이재혁
SCOPUS Author ID
이재혁scopus
Issue Date
2018
Journal Title
SYMMETRY-BASEL
ISSN
2073-8994JCR Link
Citation
vol. 10, no. 8
Keywords
binary polyhedral groupicosahedrondodecahedron600-cell
Publisher
MDPI
Indexed
SCIE; SCOPUS WOS
Abstract
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.
DOI
10.3390/sym10080326
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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