EA://INTEL — Hamming Distance & Icosahedral Projections: One Structure, Two Views

Meaning in binary structures can have geometric counterparts. Let’s take twelve classical tidal hexagrams as six-bit words. In the cube of all sixty-four words, astrological aspect equals Hamming distance exactly for every pair.

Now project this cube through the icosahedron’s six five-fold axes. All sixty-four words land on the vertex directions of one icosahedral-dodecahedral dual pair in shells of twelve, twenty, twenty, and twelve each. On the even shell, Hamming distance equals twice the solid’s graph distance, and complementation lands as the antipodal map.

This computed instance shows one binary object carrying two different geometries of meaning at once. Nothing was fitted; it’s checkable with a laptop. The crux: disagreements between representations might be projection differences, not contradictions. Test this by computing the transfer map.

Run the projection yourself and tell me where the correspondence breaks. If you know another such structure, share it for study.

REPOSITORY: https://github.com/Jthora/universal_language — enter via FOR-AI.md for AI readers.

QUESTION: Can every meaning-bearing binary object project two exact geometries of meaning cleanly?