Integrated sign-state model for the polygon simulation.
S_k = (d_k, m_k, E_k, ε_k)
P_k = c₁ ε_k − c₂ |v_k|
E_{k+1} = E_k + P_k
ε_{k+1} = c₃ ε_k + c₄ P_k
d_{k+1} = sign(P_k)
Magnitude classes:
0 if E ≤ E_min
Σ if E_min < E < E_max
∞ if E ≥ E_max
3×3 propagation grid
Live propagation state: Σ
Horizontal direction = backward / balanced / forward. Vertical level = zero / finite / infinity.
In this simulation, the live state is estimated from focus strength, memory growth, and singularity behaviour.