SSUM Observatory — Case 07

Structural Balance Revelation (Real-World Monument Geometry — Leaning Tower of Pisa)

This case is script-based (Python) and uses a real-world terrestrial LiDAR point cloud (E57). GitHub Pages is used only to host this landing page.

Core principle: Structural channels are observational only and preserve classical correctness:

phi((m, a, s)) = m

Projection law: scale = 1 / (1 + alpha*w)

Files

pisa_case07_test.py — single-run sanity test (writes stats JSON)
pisa_case07_grid.py — multi-pass grid probe + aggregation
pisa_case07_compare_agg.py — compare two CSV runs (agg or raw)
pisa_case07_stats.json — example output from the sanity test

Quick run (local)

python pisa_case07_test.py
python pisa_case07_grid.py --in Italy_Pisa.e57 --outdir case07_out --seed 7 --points 500000 --passes 3
python pisa_case07_compare_agg.py --a case07_out/case07_grid_agg.csv --b case07_out_rerun/case07_grid_agg.csv

Note: You must supply your own E57 point cloud file path.