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ANNEX B: TRI-HEXAGONAL ISOMORPHISM

Canonical Field Evolution under Standard Trinity Subdivision (N=18)
Research Protocol: This annex demonstrates the standard N=18 boundary configuration combining hexagonal base symmetry with trinity subdivision (6×3). This resolution enables spectral lock detection, harmonic analysis, and demonstrates scale-invariant behavior consistent with Annex A (N=6) and Annex C (N=36). The 18-sector configuration provides optimal balance between computational precision and geometric interpretability.
Canonical Field Visualization (N=18)
L2 Energy
0.00000
Shannon Entropy
4.170
Lock Ratio
1.000
Step Index
0
Coherence
100%
Scale Factor
3.00
Spectral Mode Analysis
Conservation & Scale Invariance
Conservation Law (∑ρᵢ = 1) —
Scale Invariance (vs Annex A) —
Academic Validation Dashboard
Equilibrium Convergence
E = √∑(ρᵢ - 1/N)² < 10⁻⁶ —
Spectral Lock Detection
L = |H₁|/|H₀| > 2.0 —
Entropy Validation
S ≈ log₂(18) = 4.170 —
● LIVE FIELD
Trinity Research Controls
CRR_SHA256: INITIALIZING...
N=18 | TRI-HEXAGONAL | CANONICAL KERNEL v8.0
[INIT] Annex B: Tri-Hexagonal Isomorphism Protocol
[L0] Canonical kernel N=18 initialized
[L1] Witness layer monitoring spectral structure
[L2] Trinity subdivision geometry active