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live_path rounds a star's outer points and leaves its inner points sharp corners, as the reference application does: a 5-point star at Star Ratio 50 % with corner radius 10 has 15 anchors instead of 20. Plain polygons keep rounding every vertex. The on-canvas corner radius widget shows knobs at the outer points only and takes its largest radius from them, so it previews the same path as shape.create.