A Very Intuitive Geometric Picture of the 24-cell, $E_8$ and   $\Lambda_{16}$ Lattices Given by Using the Hopf Maps
  We use the Hopf fibrillation to give simple and intuitive geometric constructions of the 24-cell, $E_8$ and $\Lambda_{16}$ lattices. 
Eric Lewin Altschuler and Antonio Perez--Garrido