{ "id": "51-loft-rect-circle-offset", "name": "Skewed loft rectangle to circle", "description": "Loft from a 60x30 rectangle (XY, centred) to a d30 circle centred (10,5) on a plane 50 mm up.", "exercises": [ "loft", "offset_plane", "skewed" ], "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": "Bottom", "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": [ -30, -15 ] }, "end": { "at": [ 30, -15 ] }, "id": "l1" }, { "type": "line", "start": { "ref": "l1.end", "at": [ 30.0, -15.0 ] }, "end": { "at": [ 30, 15 ] }, "id": "l2" }, { "type": "line", "start": { "ref": "l2.end", "at": [ 30.0, 15.0 ] }, "end": { "at": [ -30, 15 ] }, "id": "l3" }, { "type": "line", "start": { "ref": "l3.end", "at": [ -30.0, 15.0 ] }, "end": { "ref": "l1.start", "at": [ -30.0, -15.0 ] }, "id": "l4" } ], "constraints": [], "dimensions": [] }, { "op": "construction_plane", "name": "Plane50", "method": "offset", "base": "XY", "offset": 50 }, { "op": "sketch", "name": "Top", "plane": { "ref": "construction plane Plane50", "origin": [ 0.0, 0.0, 50.0 ], "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": [ 10, 5 ] }, "radius": 15, "id": "c1" } ], "constraints": [], "dimensions": [] }, { "op": "loft", "name": "Loft1", "operation": "new", "sections": [ { "sketch": "Bottom", "loops": [ { "outer": true, "curves": [ "l1", "l2", "l3", "l4" ] } ] }, { "sketch": "Top", "loops": [ { "outer": true, "curves": [ "c1" ] } ] } ], "end_conditions": "free", "solid": true, "result_bodies": [ "Loft" ] } ] }