The geometry of H 4 polytopes

2020/07/01 by Tomme Denney, Da’Shay Hooker, De'janeke Johnson +3 · 1 citation
Engineering · Mathematics · Computer Science · #graph theory and CDMA systems #Finite Group Theory Research #Coding theory and cryptography #Unimodular matrix #Polytope #Mathematics #Geometry #Section (typography) #Inscribed figure #Lattice (music) #Space (punctuation) #Combinatorics #Physics

paper · doi:10.1515/advgeom-2020-0005

openalex publication_date 2020/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

Abstract We describe the geometry of an arrangement of 24-cells inscribed in the 600-cell. In Section 7 we apply our results to the even unimodular lattice E 8 and show how the 600-cell transforms E 8 /2 E 8 , an 8-space over the field F 2 , into a 4-space over F 4 whose points, lines and planes are labeled by the geometric objects of the 600-cell.

Cited by

• 600-cell [wikipedia]

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