Adds Sec. 2 "A conjectural Latin-style substructure" with two
conjectures: (1) for tires whose every O-face has exactly 3 B_in
edges, π_D contains the Latin-flavoured subset L (where each O-face
gets a permutation of {1,2,3}); (2) adjacent tires both satisfying (1)
have compatible projections.
Adds tire_fiber_counterexample_search.py: append-log counterexample
hunt across increasing k with deduplication for resumability. Logs
to counterexample_search.log. Smoke-test data at k≤5 shows
non-all-3 SP-model artifacts produce empty intersections (the
conjecture's "exactly 3 B_in edges per face" precondition fails),
but no strict-Latin counterexample yet.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
didericis
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