{ "id": "13-combine-join", "name": "Boolean union", "description": "Box 40x40x20 at origin + cylinder r=12 h=40 at (40,20) as separate bodies, then combine join.", "exercises": [ "extrude", "combine_join" ], "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": "BoxA_sketch", "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": "line", "start": { "at": [ 0, 0 ] }, "end": { "at": [ 40, 0 ] }, "id": "l1" }, { "type": "line", "start": { "ref": "l1.end", "at": [ 40.0, 0.0 ] }, "end": { "at": [ 40, 40 ] }, "id": "l2" }, { "type": "line", "start": { "ref": "l2.end", "at": [ 40.0, 40.0 ] }, "end": { "at": [ 0, 40 ] }, "id": "l3" }, { "type": "line", "start": { "ref": "l3.end", "at": [ 0.0, 40.0 ] }, "end": { "ref": "l1.start", "at": [ 0.0, 0.0 ] }, "id": "l4" } ], "constraints": [], "dimensions": [] }, { "op": "extrude", "name": "BoxA", "operation": "new", "profiles": [ { "sketch": "BoxA_sketch", "loops": [ { "outer": true, "curves": [ "l1", "l2", "l3", "l4" ] } ] } ], "extent": { "type": "distance", "distance": 20, "direction": "positive" }, "result_bodies": [ "A" ] }, { "op": "sketch", "name": "CylSketch", "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": [ 40, 20 ] }, "radius": 12, "id": "c1" } ], "constraints": [], "dimensions": [] }, { "op": "extrude", "name": "CylB", "operation": "new", "profiles": [ { "sketch": "CylSketch", "loops": [ { "outer": true, "curves": [ "c1" ] } ] } ], "extent": { "type": "distance", "distance": 40, "direction": "positive" }, "result_bodies": [ "B" ] }, { "op": "combine", "name": "Combine1", "operation": "join", "target_body": "A", "tool_bodies": [ "B" ], "keep_tools": false } ] }