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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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Exact evidence for one nine-point distance partition

../


From the repository root run:

sh
uv run --no-sync python wiki/theory/discrete_geometry/L30_nine_point_distance_rigidity/evidence/main.py

The program uses the repository's tools.Checker and Python integers and fractions. Its expected runtime is a few seconds or less. It reads configuration.json, containing the complete point list, distance classes, degeneracies, equality labels and square matrix. This mathematical input is computed from the example stated on Problem 217; the checker recomputes all its consumed data from the coordinates.

The finite domain consists of all 36 unordered pairs, all 84 triples, all 126 quadruples and all 28 equality derivatives of this one set. The determinant −1102248-1102248 is the computational input to the local uniqueness proof. The program checks neither other distance partitions nor a global nonexistence statement. Every failed obligation causes a nonzero exit, including under optimized Python. This is author evidence, not an independent examination.