{ "round": 3, "transfer_project": { "title": "Household Shelf Extrusion Transfer", "goal": "Apply extrusion logic to create a valid solid for a bookshelf design using harmless household materials.", "inputs": [ {"type": "vector_2d", "name": "base_profile"}, {"type": "scalar", "name": "extrusion_distance"} ], "steps": [ "Define the base profile with explicit origin, axes, and units in millimeters.", "Extrude the constrained geometry along a specified axis to form a closed solid.", "Validate that all faces are manifold and normals point outward without self-intersection." ], "outputs": [ {"type": "solid_mesh", "name": "shelf_geometry"}, {"type": "boolean_flag", "name": "validity_check"} ], "acceptance_criteria": [ "The output solid must have exactly zero non-manifold edges and no self-intersecting faces.", "All face normals must be consistently outward-facing relative to the defined coordinate system." ] }, "boundary_cases": { "minimum": {"value": 1.0, "unit": "mm", "description": "Minimum extrusion distance ensuring a closed volume exists."}, "nominal": {"value": 50.0, "unit": "mm", "description": "Standard design length for the household shelf component."}, "maximum": {"value": 200.0, "unit": "mm", "description": "Maximum safe dimension before structural instability or tool limits are reached.", "invalid": { "condition": "negative_distance_or_zero_volume", "reason": "Extrusion distance must be strictly positive to generate a valid closed solid; zero results in no volume." }