This paper proposes a geometric unification of the Standard Model and Cosmological Constant by modeling the universe as a kinematic 4-dimensional lattice based on the 24-Cell Octaplex. We demonstrate that the seemingly arbitrary parameters of physics are direct consequences of projecting this self-dual 4D geometry into 3D space. Specifically, we show that the Kepler Conjecture sphere-packing limit (approx. 74%) corresponds to the observed Active Energy density (Dark Energy + Baryonic Matter), wh