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The material-overlap diagnostic clipped every triangle of one part against every triangle of the other, then carved each fragment by every hole triangle. Curved overlaps produced thousands of fragments, and a part sitting inside another part's cutout was slow even when clear. PlateOverlapAnalyzer now intersects each candidate pair's hole-aware material once with Clipper2, in part-local coordinates on a 1e-8 grid. Each operand is its outline minus the union of its holes (positive fill rule). Regions become connected islands: a counterclockwise outline plus clockwise Holes, including an island that both parts' holes enclose together. PolygonAreaMoments.TrySubtract gives each island's net moments. A pair is reported when its total shared area exceeds Tolerance.Epsilon. Out-of-range or nonfinite coordinates make the pair incomplete rather than clear. The overlay and the cutting inspection highlight fill outlines with their holes. On 389 real PEP-converted plates the pair, clamp-finding and issue sets are identical to the previous kernel. Pair areas are equal or up to 0.0002 larger: the kernel drops fragments below its area threshold. With material prepared, the per-plate clipping maximum fell from 2.6 s to 52 ms (total 5.0 s to 0.5 s). Engine and validation checks still use Collision.