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fix(adversarial): EPS fix exposed v2/v3 sofa coloring as false-edge artifact
- EPS 0.05 -> 1e-5 (adversarial review finding: 5 orders too wide) - v2 results (χ up to 24, q=1 phase boundary) were false-edge artifacts - v3 with corrected EPS: max χ=3 across all (shape,n,q) configurations - de Grey 1581-vertex graph constructs correctly (Hoffman bound χ≥3) - Gerver-like/hammersley shapes repaired (self-intersection, gaps, q-param) Build: lake build CoreFormalism.CRTSidon (3297 jobs, 0 errors)
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.openresearch/artifacts/EVAL_v3.md
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# Sidon-Sofa Coloring v3: Fine q-sweep — Negative Result
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## Finding
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With the corrected EPS tolerance (1e-5 instead of 0.05), the sofa shape
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conflict graphs are nearly empty. The earlier results (χ up to 24,
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visible q=1 phase boundary) were artifacts of the too-wide tolerance.
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## Data
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| χ | Count | % |
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|---|-------|---|
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| 1 | 106 | 57% |
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| 2 | 80 | 43% |
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| 3 | 1 | 0.5% |
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Max χ across all (shape, n, q) configurations: 3.
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## What happened
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- Adversarial review identified EPS=0.05 was unjustified (5 orders too wide)
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- At EPS=1e-5, the sofa shapes don't produce unit-distance conflicts
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dense enough to create non-trivial chromatic numbers
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- The q=1 phase boundary was a false-edge artifact
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## Conclusion
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The current shape parameterization does not produce meaningful
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unit-distance conflict graphs at a mathematically justified tolerance.
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Future work should redesign the shapes or accept the sparse result.
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## Files
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- `sidon_sofa_coloring_v3.py` — fine q-sweep script (repaired)
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- `sidon_sofa_coloring_v2.py` — base script (EPS fixed)
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- `hn_hoffman_bound.py` — de Grey graph (verified, 1581 vertices)
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