Binary icosahedral group and 600-Cell

Jihyun Choi, Jae Hyouk Lee

Research output: Contribution to journalArticlepeer-review

1 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 languageEnglish
Article number326
JournalSymmetry
Volume10
Issue number8
DOIs
StatePublished - 1 Aug 2018

Keywords

  • 600-cell
  • Binary polyhedral group
  • Dodecahedron
  • Icosahedron

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