The system functions through a reciprocal relationship between a physical tangent basis and a corresponding dual basis that acts as a specialized measuring stick or "mathematical sieve",. In its baseline state, this dual basis uses a sifting property to isolate specific components while ignoring movement in incorrect directions,. To maintain accuracy under extreme conditions, such as when the physical building blocks become nearly parallel, the system triggers a compensation effect where the dual vectors dynamically stretch and rotate to preserve their mathematical relationship,. Ultimately, this process ensures the conservation of orthogonality, meaning that even as the geometry shifts or animates in real-time, the extracted information remains constant and invariant despite the physical movement of the underlying frames.
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