Encoding (64 vertices)
64
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This visualization demonstrates the geometric basis for cognitive compression across strategic articulations:
| Level | Vertices | Geometry | Examples | Function |
|---|---|---|---|---|
| Encoding | 64 | 6D Hypercube | Codons, I Ching hexagrams, MSC mode-pairs | Combinatorial address space |
| Functional | 20 | Dodecahedron vertices | Amino acids, EU Social Rights, martial arts principles | Operative building blocks |
| Catalytic | 12 | Icosahedron vertices / Dodeca faces | Vitamins, zodiac, chromatic scale, Olympian gods | Generic operational insights |
| Elemental | 6 | Octahedron vertices | De Bono's Six Hats, basic polarities | Fundamental orientations |
| Minimal | 4 | Tetrahedron vertices | Four elements, Young's L-M-T-?, MBTI dimensions | Minimal viable system |
Key insight: The 20 vertices of the dodecahedron literally frame its 12 faces. The functional level (amino acids, operative insights) frames the catalytic level (vitamins, generic insights). This is not metaphor but geometry.