What does a cosmological parameter look like in three dimensions? The UMCR introduced kβ=1.327, a dimensionless number measured from 1,701 supernovae that governs cosmic expansion. The preceding paper showed that kβ selects geometrically distinguished members from three classical icosahedral families, the first three Santillana Solids. This paper pushes further, into lower symmetries and entirely new territory. Two things emerge. First, the Crystallon R(kβ): the fourth Santillana Solid, a compact six-faced rhombohedron whose face-diagonal ratio equals kβ exactly. Its face angle of 74.00° falls within 0.25° of the ankerite-dolomite mineral series, a coincidence between a cosmological fit and carbonate crystal geometry that was not engineered. Second, the AP3L family: a previously uncataloged infinite family of convex polyhedra built from three coaxial vertex rings, with a clean universal topology V=3n, E=7n, F=4n+2. Within it live three new named solids, the Genesis Solids. The Trinhedron has exactly two edge classes with ratio φ, forced by the golden identity φ=2cos(π/5). The Cosmohedron encodes kβ as the circumradius of its medial ring. The Santillanahedron, their dual, is a trivalent solid with 22 vertices whose coordinates are all algebraic in φ, a property the geometry produces on its own, without being asked. All topology verified via Euler's formula. All metric claims derived analytically and confirmed numerically. Novelty confirmed against OEIS, Grünbaum, Johnson, Goldberg–Coxeter, and crystallographic databases.
Jean Santillana (2026) studied this question.