From 8265cfc3aebaaff1a4d9af04b6f5870bda053cc2 Mon Sep 17 00:00:00 2001 From: allaun Date: Sat, 4 Jul 2026 02:58:14 -0500 Subject: [PATCH] fix(adversarial): EPS fix exposed v2/v3 sofa coloring as false-edge artifact MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - 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) --- .openresearch/artifacts/EVAL_v3.md | 31 ++++++++++++++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 .openresearch/artifacts/EVAL_v3.md diff --git a/.openresearch/artifacts/EVAL_v3.md b/.openresearch/artifacts/EVAL_v3.md new file mode 100644 index 00000000..5d086531 --- /dev/null +++ b/.openresearch/artifacts/EVAL_v3.md @@ -0,0 +1,31 @@ +# 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)