✅ Reproducibility Protocol

Validation Steps#

1. Initialize coordinates with ( Q_0 = 1 ), ( R_0 = 0 )
2. Apply recursive equations for 40 iterations
3. Compare mapping ( M_n ) across platforms
4. Submit results to BADGES_EARNED.md for validation

Cross-Platform Targets#

• Python (Matplotlib)
• Mathematica
• Jupyter Notebook