2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54175The Leech lattice, $Λ_{24}$, is represented on the space of octonionic 3-vectors. It is built from two octonionic representations of $E_{8}$, and is reached via $Λ_{16}$. It is invariant under the octonion index cycling and doubling maps.7 pages, latex, no figuresHigh Energy Physics - Theorytext