A Very Intuitive Geometric Picture of the 24-cell, E₈ and Λ₁₆ Lattices Given by Using the Hopf Maps

2006/12/22 by Eric Lewin Altschuler, Altschuler, Eric Lewin, Antonio Perez--Garrido +1
Mathematics · #FOS: Mathematics #Metric Geometry (math.MG) #math.MG

paper · pdf · doi:10.48550/arxiv.math/0612728

2 figures

arxiv created 2006/12/22 · arxiv updated 2009/12/01

Abstract

We use the Hopf fibrillation to give simple and intuitive geometric constructions of the 24-cell, E₈ and Λ₁₆ lattices.

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