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Four continuity cases for the patch fill. A hole in one smooth sheet (a cubic Bezier profile extruded, a square trimmed out) patched g2 and g3: every seam reaches the order, corners included, since round the hole there is one surface. The hole a three-round corner's blend face leaves, patched g2 and g3: exactly g1 over each whole seam, since at the hole's corners the rounds meet each other G1 (their curvatures differ by 1/4 or 1/8 per mm) and a patch smooth there has one curvature; the middle of each seam reaches the order (kernel test). Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>