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This paper provides a step-by-step derivation of how the logarithmically modulated helix vortices of the Helix-Light-Vortex (HLV) theory generate a three-dimensional quasicrystal matrix. This is achieved through a higher-dimensional "cut-and-project" construction from a six-dimensional periodic parent lattice. The resulting aperiodic and deterministic structure is controlled by a triadic Spiral Time, where the retrocausal U2 mode shifts the center of the acceptance window and the stationary U3 mode sets its thickness, thus yielding memory. Fibonacci-dodecahedral (FDG) domains are shown to exist as resonance islands within this quasicrystal (QCG) host, forming a robust hybrid lattice. The document couples this geometry to a triadic Spiral Time and outlines grammar-based quantization and specific testable predictions, such as nested coherence domains and topological defects as sources of mass or inertia.