Binary icosahedral group and 600-Cell

Jihyun Choi; Jae Hyouk Lee

doi:10.3390/sym10080326

Binary icosahedral group and 600-Cell

Jihyun Choi, Jae Hyouk Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 via spin map of SO(3). 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 ₄.

Original language	English
Article number	326
Journal	Symmetry
Volume	10
Issue number	8
DOIs	https://doi.org/10.3390/sym10080326
State	Published - 1 Aug 2018

Bibliographical note

Publisher Copyright:
© 2018 by the authors.

Keywords

600-cell
Binary polyhedral group
Dodecahedron
Icosahedron

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10.3390/sym10080326

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title = "Binary icosahedral group and 600-Cell",

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 via spin map of SO(3). 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 4.",

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AB - 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 SO(3). 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 4.

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KW - Binary polyhedral group

KW - Dodecahedron

KW - Icosahedron

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Binary icosahedral group and 600-Cell

Abstract

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Keywords

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