Geometric and Informational Correspondences in a Period-24 Fibonacci Residue Framework

This paper extends the finite residue framework of Paper 036 into geometric and information-structural layers. We report four exact mathematical results derived from the period-24 Fibonacci modulo-9 substrate. First, we prove a natural five-fold 24-cell resolution within the 120-vertex H_4/600-cell state space, established by a count identity of 120/24=5. Second, we define a canonical ordering of the 24-element core (HIFUMIYO_SEED24) that coincides with a 6-block BT24 structure. Third, we demonstrate two exact planar scan laws on a 5×10 grid that recover specific symbolic sequences through row-column scans and boundary corrections. Finally, we quantify the inherent projective limits of 2D grid representations, showing that while the projection is structurally informative, it remains quantitatively lossy compared to the 4D core order. Consistent with prior work, all findings are presented as exact and claim-bounded.