Binary Icosahedral Group and 600-Cell
Department of Mathematics, Ewha Womans University 52, Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Korea
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Received: 10 July 2018 / Revised: 24 July 2018 / Accepted: 26 July 2018 / Published: 7 August 2018
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
via spin map of
. In addition, we show that the binary icosahedral group in
is the set of vertices of a 600-cell by applying the Coxeter–Dynkin diagram of
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MDPI and ACS Style
Choi, J.; Lee, J.-H. Binary Icosahedral Group and 600-Cell. Symmetry 2018, 10, 326.
Choi J, Lee J-H. Binary Icosahedral Group and 600-Cell. Symmetry. 2018; 10(8):326.
Choi, Jihyun; Lee, Jae-Hyouk. 2018. "Binary Icosahedral Group and 600-Cell." Symmetry 10, no. 8: 326.
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