The Verdict
Experiment S2 Results ($\lambda \in [0.01 \dots 0.50]$):
- Low Penalty ($\lambda < 0.1$): Hexagonal Attractor. The
model ignores the penalty and converges to $\sqrt{3}$ (approx 1.73).
- Transition ($\lambda \approx 0.1 - 0.3$): Instability.
Entropy rises sharply.
- High Penalty ($\lambda > 0.3$): Gas Chaos. The model
abandons structure entirely ($H > 2.5$).
Conclusion: There is no stable "Square Intelligence". It is either Hexagonal or Random.