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Straight spans of one pair that meet at a corner chain into one shared path (CommonLineGeometry.Paths). Plan Cutting cuts it as one open centerline cut through its corners, pierced and left in scrap along its end legs; each member's spans run on to its own vertex at a corner, so the path is one tab run. Join Common Line slides along the main edge so the step of a Z or L also lands one kerf apart, and the plate draws the path through its corners. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>