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Addendum to "Four mechanisms of emergence of the golden ratio in theHurwitz tower and the Galois asymmetry of the golden modules of the600-cell" (DOI: 10.5281/zenodo.24040098). This addendum does not correct any error in the original article: itextends its results. Specifically, it adds a new property of the dualpair {600,120} —the reinforcement of Theorem 10.2 by twistedequivariance— and updates four sections whose information is extendedby that result: the list of contributions (§1.4), the table of dualpairs (§10.3), the open questions (§12.4), and the computationalappendix (A.6). New result: there exists a permutation-with-signs Ψ thatsimultaneously satisfies Ψ D_120 Ψ⁻¹ = D_600 andΨ ρ_120(g) Ψ⁻¹ = det(g) ρ_600(g) for all g ∈ H_4. The result iscertified by exact computation in the technical noteDOI: 10.5281/zenodo.24075970 (0 discrepancies over 6,969,600 entriesfor Dirac; 0 discrepancies over 38,016,000 pairs for twistedequivariance).
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Jonás Fernández Paniagua (2026) studied this question.
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