Mereon 120 polyhedron exactly projects from the 600-cell under H3 ⊂ H4 symmetry, realizing E6, E7, E8 in its architecture.
van Hoboken,Platonic Solids, Binary Polyhedral Groups, Kleinian Singularities and Lie Algebras of Type A, D, E, Master’s Thesis, University of Amsterdam
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The Mereon System, the 600-Cell, and the Exceptional Algebras $E_6$, $E_7$, $E_8$: Exact Correspondence via $H_3 \subset H_4$ Symmetry and the Eigenform Loop
Mereon 120 polyhedron exactly projects from the 600-cell under H3 ⊂ H4 symmetry, realizing E6, E7, E8 in its architecture.