{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-12T21:34:02Z",
    "providers": [
      "Claude"
    ],
    "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify",
    "pass": 2,
    "wave": 3,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-06T10:00:00Z",
      "ingestedAt": "2026-10-06T07:03:25+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-06T19:52:00+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q45867",
    "registryId": "vr.tr.parallelogram",
    "name": "parallelogram",
    "version": "0.2.0-wave.3",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q45867/",
  "model": {
    "registry_id": "vr.tr.parallelogram",
    "name": "parallelogram",
    "purpose": "Let an agent define the parallelogram and its properties, compute area, perimeter and angles, distinguish it from trapezoids and other quadrilaterals, and relay classic theorems and teaching approaches.",
    "definition": "A quadrilateral with two pairs of parallel sides, whose opposite sides are equal, opposite angles are equal and diagonals bisect each other; rectangles, rhombi and squares are special cases, its area is base times height, and the Varignon parallelogram formed by the midpoints of any quadrilateral sides is a classic result.",
    "what_it_is_for": "A basic shape in geometry, design and engineering.",
    "affordances": [
      "state the definition and properties",
      "compute area, perimeter and angles",
      "classify special cases",
      "relay classic theorems"
    ],
    "distinguishing_features": [
      "Two pairs of parallel sides",
      "Diagonals bisect each other",
      "Special cases: rectangle, rhombus, square",
      "Vector parallelogram law"
    ],
    "appearance": "A four-sided figure with two pairs of parallel sides, like a slanted rectangle.",
    "visual_identification": [
      "Two pairs of parallel sides",
      "Opposite sides equal, diagonals bisect each other",
      "A trapezoid has one pair of parallel sides in most definitions"
    ],
    "physical_properties": [
      {
        "quantity": "area",
        "typical_range": "base times height",
        "unit": "formula",
        "note": ""
      },
      {
        "quantity": "angle sum",
        "typical_range": "360",
        "unit": "degrees",
        "note": ""
      }
    ],
    "families_and_kinds": [
      "general parallelograms and rhomboids",
      "rectangles",
      "rhombi",
      "squares",
      "Varignon parallelogram of a quadrilateral",
      "parallelograms in vector addition and physics"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "quadrilateral",
        "why": "a four-sided polygon"
      },
      {
        "relation": "includes",
        "target": "rectangle",
        "why": "a special case"
      },
      {
        "relation": "is contrasted with",
        "target": "trapezoid",
        "why": "one pair of parallel sides"
      },
      {
        "relation": "is used in",
        "target": "vector addition",
        "why": "the parallelogram law"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "No regulation; definitions follow standard geometry, with regional differences in the definition of trapezoid"
    ],
    "failure_modes_and_hazards": [
      "Confusing height with side length in area",
      "Regional differences in trapezoid definitions",
      "Assuming right angles"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Define a parallelogram and its properties.",
        "Compute area and perimeter, showing the use of perpendicular height.",
        "Explain special cases such as rectangles, rhombi and squares."
      ],
      "must_not": [
        "Use side length in place of perpendicular height for area.",
        "Assume right angles in a general parallelogram.",
        "Ignore regional differences in how trapezoids and parallelograms are related.",
        "Present a flawed proof as correct to a learner."
      ],
      "requires_human": [
        "Using computed areas for land or construction measurements that others rely on."
      ]
    },
    "ethics": {
      "considerations": [
        "Accurate maths education builds learners' confidence and skills.",
        "Area errors in land measurement can cause disputes."
      ],
      "affected_parties": [
        "Students and learners",
        "Teachers",
        "Surveyors and builders"
      ]
    },
    "owners": {
      "steward": "Nobody owns the concept; it is held in common.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q45867: parallelogram",
      "url": "https://www.wikidata.org/wiki/Q45867",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Parallelogram",
      "url": "https://en.wikipedia.org/wiki/Parallelogram",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "define",
        "name": "Define",
        "description": "What a parallelogram is.",
        "rationale": "Definition.",
        "layers": [
          {
            "id": "definition",
            "name": "Definition",
            "description": "Definition and properties.",
            "findings": [
              {
                "id": "definition-finding",
                "name": "Definition",
                "description": "Definition.",
                "questions": [
                  {
                    "text": "What defines a parallelogram, and what properties follow?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the shape a parallelogram, a trapezoid or another quadrilateral?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "special",
            "name": "Special",
            "description": "Special cases.",
            "findings": [
              {
                "id": "special-finding",
                "name": "Special",
                "description": "Special.",
                "questions": [
                  {
                    "text": "How do rectangles, rhombi and squares relate to parallelograms?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits the special case?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Calculation.",
        "rationale": "Computation.",
        "layers": [
          {
            "id": "area",
            "name": "Area",
            "description": "Area and perimeter.",
            "findings": [
              {
                "id": "area-finding",
                "name": "Area",
                "description": "Area.",
                "questions": [
                  {
                    "text": "How are area, perimeter and angles computed from sides, heights and angles?",
                    "kind": "action"
                  },
                  {
                    "text": "What is the result for the values in question?",
                    "kind": "measurement"
                  }
                ]
              }
            ]
          },
          {
            "id": "coordinates",
            "name": "Coordinates",
            "description": "Coordinate and vector methods.",
            "findings": [
              {
                "id": "coordinates-finding",
                "name": "Coordinates",
                "description": "Coordinates.",
                "questions": [
                  {
                    "text": "How is a parallelogram handled with coordinates and vectors, including the cross product for area?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits vectors?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "theorems",
        "name": "Theorems",
        "description": "Classic results.",
        "rationale": "Theory.",
        "layers": [
          {
            "id": "varignon",
            "name": "Varignon",
            "description": "Varignon parallelogram.",
            "findings": [
              {
                "id": "varignon-finding",
                "name": "Varignon",
                "description": "Varignon.",
                "questions": [
                  {
                    "text": "What does Varignon theorem state, and how is it proved?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "law",
            "name": "Law",
            "description": "Parallelogram law.",
            "findings": [
              {
                "id": "law-finding",
                "name": "Law",
                "description": "Law.",
                "questions": [
                  {
                    "text": "What is the parallelogram law in vectors and in normed spaces?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits inner product spaces?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "learn",
        "name": "Learn",
        "description": "Teaching and use.",
        "rationale": "Study.",
        "layers": [
          {
            "id": "teach",
            "name": "Teach",
            "description": "Teaching.",
            "findings": [
              {
                "id": "teach-finding",
                "name": "Teach",
                "description": "Teaching.",
                "questions": [
                  {
                    "text": "How are parallelograms taught, and which misconceptions arise?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits geometry education?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "use",
            "name": "Use",
            "description": "Applications.",
            "findings": [
              {
                "id": "use-finding",
                "name": "Use",
                "description": "Use.",
                "questions": [
                  {
                    "text": "Where do parallelograms appear in design, engineering and physics?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits a specific application?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should the Varignon parallelogram be a separate entry?",
    "How should curriculum standards be linked?",
    "How should definitional variation be recorded?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}