{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-12T00:11:07Z",
    "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": 2,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-05T23:50:00Z",
      "ingestedAt": "2026-10-05T20:46:02+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-Q46303",
    "registryId": "vr.tr.trapezoid",
    "name": "trapezoid",
    "version": "0.2.0-wave.2",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q46303/",
  "model": {
    "registry_id": "vr.tr.trapezoid",
    "name": "trapezoid",
    "purpose": "Let an agent explain trapezoids and their definitions and properties, compute area and other measures, distinguish inclusive and exclusive definitions and British usage, and support geometry learning.",
    "definition": "A quadrilateral with at least one pair of parallel sides, called a trapezium in British usage, with special cases such as the isosceles trapezoid with equal legs, the right trapezoid with a right angle, and under the inclusive definition parallelograms as well, and with properties such as the midsegment and area formula based on the parallel sides and height; trapezoids appear in geometry education, architecture and engineering.",
    "what_it_is_for": "Quadrilaterals with parallel sides.",
    "affordances": [
      "explain definitions and properties",
      "compute area and measures",
      "clarify terminology",
      "support learning"
    ],
    "distinguishing_features": [
      "Parallel bases",
      "Legs and height",
      "Midsegment property",
      "Terminology variation"
    ],
    "appearance": "A four-sided figure with two parallel sides.",
    "visual_identification": [
      "One pair of parallel sides",
      "Special cases isosceles and right",
      "A parallelogram has two pairs; British trapezium and trapezoid are swapped"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "general trapezoids",
      "isosceles trapezoids",
      "right trapezoids",
      "bicentric and other special trapezoids",
      "parallelograms under the inclusive definition"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "convex quadrilateral",
        "why": "category"
      },
      {
        "relation": "is related to",
        "target": "triangle",
        "why": "related polygons"
      },
      {
        "relation": "is related to",
        "target": "curvature",
        "why": "another geometric entry"
      },
      {
        "relation": "is related to",
        "target": "difference",
        "why": "contrasting definitions"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "Mathematical definitions in curricula",
      "Terminology conventions by country"
    ],
    "failure_modes_and_hazards": [
      "Confusing trapezoid and trapezium across dialects",
      "Applying the exclusive definition inconsistently",
      "Area formula errors"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Compute areas, angles and sides of trapezoids, stating which definition is used.",
        "Explain the trapezoid and trapezium naming difference between dialects."
      ],
      "must_not": [
        "Mix the inclusive and exclusive definitions within one problem or answer.",
        "Mark a learner's work wrong because of a dialect naming difference.",
        "Present an area formula without checking which sides are parallel."
      ],
      "requires_human": [
        "Grading a learner's work where the definition used is disputed."
      ]
    },
    "ethics": {
      "considerations": [
        "Learners can be confused or penalised by inconsistent definitions."
      ],
      "affected_parties": [
        "Learners",
        "Teachers",
        "Engineers and drafters"
      ]
    },
    "owners": {
      "steward": "Nobody owns the concept; it is held in common by mathematics.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q46303: trapezoid",
      "url": "https://www.wikidata.org/wiki/Q46303",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Trapezoid",
      "url": "https://en.wikipedia.org/wiki/Trapezoid",
      "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 trapezoid is.",
        "rationale": "Geometry.",
        "layers": [
          {
            "id": "definition",
            "name": "Definition",
            "description": "Definitions.",
            "findings": [
              {
                "id": "definition-finding",
                "name": "Definition",
                "description": "Definitions.",
                "questions": [
                  {
                    "text": "What is a trapezoid, how do inclusive and exclusive definitions differ, and how does British trapezium usage differ?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which definition applies in this curriculum?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "special",
            "name": "Special",
            "description": "Special cases.",
            "findings": [
              {
                "id": "special-finding",
                "name": "Special",
                "description": "Special cases.",
                "questions": [
                  {
                    "text": "What are isosceles, right, bicentric and midsquare trapezoids, and what properties do they have?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits a specific case?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Calculations.",
        "rationale": "Practice.",
        "layers": [
          {
            "id": "area",
            "name": "Area",
            "description": "Area and perimeter.",
            "findings": [
              {
                "id": "area-finding",
                "name": "Area",
                "description": "Area.",
                "questions": [
                  {
                    "text": "How are the area, perimeter, midsegment and diagonals of a trapezoid computed?",
                    "kind": "action"
                  },
                  {
                    "text": "How is the height found when not given?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "prove",
            "name": "Prove",
            "description": "Proofs.",
            "findings": [
              {
                "id": "prove-finding",
                "name": "Prove",
                "description": "Proofs.",
                "questions": [
                  {
                    "text": "How are trapezoid properties proved, such as the midsegment theorem?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits Euclidean geometry?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "apply",
        "name": "Apply",
        "description": "Applications.",
        "rationale": "Context.",
        "layers": [
          {
            "id": "applications",
            "name": "Applications",
            "description": "Trapezoids in practice.",
            "findings": [
              {
                "id": "applications-finding",
                "name": "Applications",
                "description": "Applications.",
                "questions": [
                  {
                    "text": "Where do trapezoids appear in architecture, engineering and numerical integration such as the trapezoidal rule?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits the trapezoidal rule?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "generalise",
            "name": "Generalise",
            "description": "Generalisations.",
            "findings": [
              {
                "id": "generalise-finding",
                "name": "Generalise",
                "description": "Generalisations.",
                "questions": [
                  {
                    "text": "How do trapezoids generalise in higher dimensions and non-Euclidean geometry?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "learn",
        "name": "Learn",
        "description": "Teaching and history.",
        "rationale": "Education.",
        "layers": [
          {
            "id": "teach",
            "name": "Teach",
            "description": "Teaching trapezoids.",
            "findings": [
              {
                "id": "teach-finding",
                "name": "Teach",
                "description": "Teaching.",
                "questions": [
                  {
                    "text": "How can trapezoids be taught with constructions and classification exercises?",
                    "kind": "action"
                  },
                  {
                    "text": "Which misconceptions arise?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "history",
            "name": "History",
            "description": "History of the terms.",
            "findings": [
              {
                "id": "history-finding",
                "name": "History",
                "description": "History.",
                "questions": [
                  {
                    "text": "How did the terms trapezoid and trapezium develop and diverge?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits history of geometry?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should isosceles trapezoid be a separate entry?",
    "How should curriculum standards be linked?",
    "How should terminology be documented?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}