The Icosahedral Geometry

University of Southampton

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Abstract

NOTICE OF SUPERSESSION — Paper 91 v1.0. This version supersedes v0.5 (January 2026). The structural arguments v0.5 presented — the Borwein-Eisenstein correspondence at the closure threshold of 6 = D! = |U(ℤ[ω])|; the D(D+1) = 2·D! identity at D = 3; the 30° kissing half-angle; the 3√3 − 5 solid-angle gap; the connection to Klein's icosahedral group / A₅ — have been properly developed in current-discipline papers in the 2I Universe Programme: - Paper 12, Unity as Closure Capacity: The Borwein Threshold (10.5281/zenodo.18132551)- Paper 175, The Golden Motor (10.5281/zenodo.19283645)- Paper 198, What Eisenstein Was Tracking (10.5281/zenodo.20069158)- Paper 2, 2I Foundations: The Geometric Origin of Dimensionless…

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Topics & keywords

Keywords
  • Icosahedral symmetry
  • Unit sphere
  • Vertex (graph theory)
  • Moduli
  • Unit (ring theory)
  • Order (exchange)
  • SPHERES
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