The Icosahedral Structure of Prime Distribution

We show that the prime wheel modulus 66 derives from icosahedral geometry: 66 = D! × (V − 1) where D = 3 and V = 12. The values D = 3 and V = 12 are not arbitrary but geometrically forced: the Borwein integrals establish D = 3 as the unique closure dimension where D(D+1) = 2×D!, and the kissing number k(3) = 12 = V follows from sphere packing (Keeble, 2026). The 20 wheel slots equal φ(66) = F (icosahedron faces) and partition exactly 10/10 into quadratic residues (QR) and quadratic nonresidues (QNR) mod 11. This partition is encoded in the Gauss sum g = i√11, connecting prime distribution to roots of unity. We link this to Klein's 1884 work showing A₅ (icosahedral rotations) solves the quintic equation.