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didericis c900ec9a70 coloring_nested_tire_graphs: refute antipodal-chord rainbow conjecture as originally stated, add refined version with m_1 ≥ m precondition
Counterexample search uncovered:
  T1 = (m_1=3, chord=(0,3), SP) at γ=6
has |π_D| = 18, but the conjectured rainbow combined orbit has size 36 —
only 6 of the 36 elements actually lie in π_D, and the literal generator
pattern (1,2,3,2,3,1) is itself missing.

Refined conjecture adds m_1 ≥ m precondition (same threshold from step 1
"saturation iff m ≥ k"). Under this precondition all 44 tested
strict-Latin pairs are still compatible. Pointer to log path included.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
2026-05-26 03:50:12 -04:00
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