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transversal.py: a STRONG transversal (n-2 faces whose Boolean assignment single-valuedly and injectively determines the boundary) would give a constructive proof. It exists in 0/2948 disks with k>=1 -- once there is any interior vertex, fixing n-2 faces leaves boundary-visible completion freedom, so the boundary is never single-valued in them. Works only at k=0 (base case). Both elementary routes (reduction localization, direct transversal) now closed. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>