{ "id": "22-split-body", "name": "Split body by angled plane", "description": "Cylinder r=20, z from -30 to 30 (symmetric extrude) split by a plane containing the X axis tilted 30 deg from XY.", "exercises": [ "extrude", "symmetric", "construction_plane_angle", "split_body" ], "units": { "length": "mm", "angle": "deg", "area": "mm2", "volume": "mm3" }, "conventions": { "world": "right-handed; Z up. XY/XZ/YZ are the origin planes.", "sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.", "point_refs": "'.start' / '.end' / '.center' reuse (share) that existing sketch point; 'at' is its position when referenced.", "extrude_direction": "positive = along sketch plane normal unless stated", "selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it." }, "parameters": [], "features": [ { "op": "sketch", "name": "Sketch1", "plane": { "ref": "XY", "origin": [ 0.0, 0.0, 0.0 ], "x_dir": [ 1.0, 0.0, 0.0 ], "y_dir": [ 0.0, 1.0, 0.0 ], "normal": [ 0.0, 0.0, 1.0 ] }, "entities": [ { "type": "circle", "center": { "at": [ 0, 0 ] }, "radius": 20, "id": "c1" } ], "constraints": [], "dimensions": [] }, { "op": "extrude", "name": "Extrude1", "operation": "new", "profiles": [ { "sketch": "Sketch1", "loops": [ { "outer": true, "curves": [ "c1" ] } ] } ], "extent": { "type": "symmetric", "distance": 30, "is_full_length": false, "meaning": "distance on each side" }, "result_bodies": [ "Cyl" ] }, { "op": "construction_plane", "name": "Tilt30", "method": "at_angle", "axis": "world X axis", "base_plane": "XY", "angle": 30, "result_origin": [ 12.125, 0.0, 0.0 ], "result_normal": [ 0.0, -0.5, 0.866025404 ] }, { "op": "split_body", "name": "Split1", "body": "Cyl", "tool": "Tilt30", "extend_tool": true, "result_bodies": [ "Cyl", "Cyl (1)" ] } ] }