A Very Intuitive Geometric Picture of the 24-cell, $E_8$ and $\Lambda_{16}$ Lattices Given by Using the Hopf Maps

Eric Lewin Altschuler; Antonio Perez--Garrido

A Very Intuitive Geometric Picture of the 24-cell, $E_8$ and $\Lambda_{16}$ Lattices Given by Using the Hopf Maps

Metric Geometry 2007-05-23 v1

Authors: Eric Lewin Altschuler , Antonio Perez--Garrido

Abstract

We use the Hopf fibrillation to give simple and intuitive geometric constructions of the 24-cell, $E_8$ and $\Lambda_{16}$ lattices.

Keywords

24-cell e8 lattice lambda16 lattice hopf fibration geometric construction

Cite

@article{arxiv.math/0612728,
  title  = {A Very Intuitive Geometric Picture of the 24-cell, $E_8$ and $\Lambda_{16}$ Lattices Given by Using the Hopf Maps},
  author = {Eric Lewin Altschuler and Antonio Perez--Garrido},
  journal= {arXiv preprint arXiv:math/0612728},
  year   = {2007}
}