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Plan Cutting ranked a convex corner first, but a corner rounded by a small fillet had no corner vertex: its tangent joints ranked level with straight edge midpoints, so travel decided and a large part (P230323-02 plate 8, PT06, 0.015 corner fillets) started in the middle of a 64-inch edge. A start there can leave a step where the cut closes after the head has put heat into the plate; at a corner it is hidden. A convex fillet tangent to straight edges at both ends, turning less than a half circle and reaching no further along either edge than its length, now makes its two joints convex-corner entries. Each carries its reach from the sharp corner it rounds, so ranking counts it on both sides of that corner. Longer curves, half-circle ends and inside fillets keep their tangent joints. Every perimeter on that plate now starts at a corner; the problem-nest corpus has no plate below its baseline. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>