mirror of https://github.com/allaunthefox/SilverSight.git synced 2026-07-31 01:25:21 +00:00

allaun 8265cfc3ae 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)

2026-07-04 02:58:14 -05:00

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Sidon-Sofa Coloring v3: Fine q-sweep — Negative Result

Finding

With the corrected EPS tolerance (1e-5 instead of 0.05), the sofa shape conflict graphs are nearly empty. The earlier results (χ up to 24, visible q=1 phase boundary) were artifacts of the too-wide tolerance.

Data

χ	Count	%
1	106	57%
2	80	43%
3	1	0.5%

Max χ across all (shape, n, q) configurations: 3.

What happened

Adversarial review identified EPS=0.05 was unjustified (5 orders too wide)
At EPS=1e-5, the sofa shapes don't produce unit-distance conflicts dense enough to create non-trivial chromatic numbers
The q=1 phase boundary was a false-edge artifact

Conclusion

The current shape parameterization does not produce meaningful unit-distance conflict graphs at a mathematically justified tolerance. Future work should redesign the shapes or accept the sparse result.

Files

sidon_sofa_coloring_v3.py — fine q-sweep script (repaired)
sidon_sofa_coloring_v2.py — base script (EPS fixed)
hn_hoffman_bound.py — de Grey graph (verified, 1581 vertices)

1.1 KiB Raw Blame History