A Sexagesimal Harmony Algorithm Approach to Hexagonal Ice Suppression

This dataset and scientific manuscript introduce the foundational architecture of the Aliya Framework, an innovative paradigm in cryobiology that utilizes the Sexagesimal Harmony Algorithm (AAS) to overcome the structural and cytotoxic limitations of traditional biological preservation. Standard methods for mitigating ice recrystallization rely heavily on high concentrations of chemical solutes (e.g., DMSO) or the stochastic screening of evolutionary proteins, both of which introduce osmotic shock and systemic toxicity upon thawing. By shifting the computational analysis from continuous real-valued dihedral angles to discrete base-60 angular geometries (the Z60 modular ring), the Aliya Framework models a novel class of self-assembling Cyclic Sexagesimal Honeycomb Mosaics (CSHMs). The structural stability and biocompatibility of these synthetic constructs are governed by the "Balance of Maat"—implemented herein as a rigid mathematical operator that mandates net-zero local torsional stress and eliminates localized entropy generation at the protein-water interface. The manuscript provides: (1) the exact mathematical proofs and angular constraints required to synthesize these non-toxic, highly resonant ice-suppression matrices; (2) the biophysical modeling of their reversible intercalation within human lipid bilayers to preserve membrane fluidity down to -20°C; and (3) a comprehensive review of cross-industrial applications, including whole-organ transplantation, advanced germplasm biobanking, self-repairing polar infrastructure, and emergency agricultural frost prevention. This work establishes a predictable, deterministic framework for complete amorphous vitrification, transforming protein design from an empirical search into pure harmonic and geometric engineering.