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

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