{ "source": "analytic", "method": "tube r5 along line 20 + R5 quarter bend + line 20: V = pi r^2 L, A = 2 pi r L + 2 pi r^2 (Pappus, valid while bend radius >= r; here equal so the inner side pinches to a line); bend centroid at (R^2 + r^2/4)/R * sinc(pi/4) along the bisector", "body_count": 1, "volume_mm3": 3758.4429286578784, "area_mm2": 1660.4568041426407, "center_of_mass": [ 6.436662063480004, 0.0, 18.563337936519996 ], "bbox": { "min": [ -5.0, -5.0, 0.0 ], "max": [ 25.0, 5.0, 30.0 ] }, "faces": 5 }