{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-13T01:51:10Z",
    "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": "2026-10-06T07:04:48+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q815741",
    "registryId": "vr.tr.geometric-shape",
    "name": "geometric shape",
    "version": "0.2.0-wave.3",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q815741/",
  "model": {
    "registry_id": "vr.tr.geometric-shape",
    "name": "geometric shape",
    "purpose": "Let an agent explain geometric shapes and their classification, relay properties and formulas for common shapes, describe how shapes are perceived and used, and distinguish geometric shape from form, pattern and the mathematical notion of shape space.",
    "definition": "The form of an object or figure as defined by its boundary, outline or surface, abstracted from position, orientation, size and material, as in two-dimensional shapes such as circles, triangles and polygons and three-dimensional shapes such as spheres, cubes and cones, treated in geometry as sets of points and classified by properties such as symmetry, convexity and dimension; shapes are studied in mathematics, perceived in psychology and used in design and engineering.",
    "what_it_is_for": "Not applicable; a geometric concept.",
    "affordances": [
      "explain the concept and classification",
      "relay properties of common shapes",
      "describe perception and use",
      "distinguish related concepts"
    ],
    "distinguishing_features": [
      "Invariant under similarity",
      "Plane and solid",
      "Classified by properties",
      "Basis of design"
    ],
    "appearance": "Outlines and solids such as circles, squares, triangles, spheres and cubes.",
    "visual_identification": [
      "Form defined by boundary, independent of size and position",
      "Plane and solid shapes, regular and irregular",
      "Size is separate; pattern is repetition; form in art includes mass and texture"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "plane shapes: polygons, circles, ellipses, curves",
      "solid shapes: polyhedra, spheres, cylinders, cones",
      "regular and irregular shapes",
      "convex and non-convex shapes",
      "fractal and organic shapes",
      "shape in statistical shape analysis"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "geometric object",
        "why": "in registry terms"
      },
      {
        "relation": "is a kind of",
        "target": "shape",
        "why": "in registry terms"
      },
      {
        "relation": "is a kind of",
        "target": "set",
        "why": "in registry terms, as a set of points"
      },
      {
        "relation": "is studied by",
        "target": "geometry",
        "why": "the field"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "ISO standards for geometric symbols and drawing",
      "No regulation of the concept"
    ],
    "failure_modes_and_hazards": [
      "Confusing shape with size or form",
      "Naming inconsistencies across languages",
      "Misapplied formulas"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Name and describe shapes by their properties, such as sides, angles and symmetry.",
        "Recognise shapes in images and state the confidence of the match."
      ],
      "must_not": [
        "Classify a shape by appearance alone when the definition depends on exact measures.",
        "Treat a shape symbol that carries meaning, such as a religious or hate symbol, as merely geometric.",
        "Mislabel safety signage shapes, such as warning triangles or stop octagons, in instructions."
      ],
      "requires_human": [
        "Deciding that a mark or symbol made of shapes is offensive or hateful for moderation."
      ]
    },
    "ethics": {
      "considerations": [
        "Shapes carry meaning in signage and symbols; misreading them can cause danger or offence.",
        "Shape recognition in images can be used to identify people or places without consent."
      ],
      "affected_parties": [
        "Students",
        "Road users reading signs",
        "Communities whose symbols use shapes"
      ]
    },
    "owners": {
      "steward": "The public: held in common as mathematical knowledge.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q815741: geometric shape",
      "url": "https://www.wikidata.org/wiki/Q815741",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Geometric shape",
      "url": "https://en.wikipedia.org/wiki/Geometric_shape",
      "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 shape is.",
        "rationale": "Mathematics.",
        "layers": [
          {
            "id": "definition",
            "name": "Definition",
            "description": "Definition.",
            "findings": [
              {
                "id": "definition-finding",
                "name": "Definition",
                "description": "Definition.",
                "questions": [
                  {
                    "text": "What is a geometric shape, and how is it abstracted from size, position and orientation?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the question about shape, size, form or pattern?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "classification",
            "name": "Classification",
            "description": "Classification.",
            "findings": [
              {
                "id": "classification-finding",
                "name": "Classification",
                "description": "Classification.",
                "questions": [
                  {
                    "text": "How are shapes classified by dimension, regularity, convexity and symmetry?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits the specific shape?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Properties and formulas.",
        "rationale": "Mathematics.",
        "layers": [
          {
            "id": "formulas",
            "name": "Formulas",
            "description": "Area, perimeter and volume.",
            "findings": [
              {
                "id": "formulas-finding",
                "name": "Formulas",
                "description": "Formulas.",
                "questions": [
                  {
                    "text": "What are the formulas for area, perimeter, surface area and volume of common shapes?",
                    "kind": "measurement"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "transformations",
            "name": "Transformations",
            "description": "Transformations.",
            "findings": [
              {
                "id": "transformations-finding",
                "name": "Transformations",
                "description": "Transformations.",
                "questions": [
                  {
                    "text": "How do transformations preserve or change shape, and what is similarity?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits geometric transformation?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "perceive",
        "name": "Perceive",
        "description": "Perception and use.",
        "rationale": "Practice.",
        "layers": [
          {
            "id": "perception",
            "name": "Perception",
            "description": "Shape perception.",
            "findings": [
              {
                "id": "perception-finding",
                "name": "Perception",
                "description": "Perception.",
                "questions": [
                  {
                    "text": "How do people perceive and recognise shapes, as psychology and vision science describe?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which sources are cited?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "design",
            "name": "Design",
            "description": "Design and engineering.",
            "findings": [
              {
                "id": "design-finding",
                "name": "Design",
                "description": "Design.",
                "questions": [
                  {
                    "text": "How are shapes used in design, architecture and engineering, including CAD?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits computer-aided design?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "context",
        "name": "Context",
        "description": "History and analysis.",
        "rationale": "Context.",
        "layers": [
          {
            "id": "history",
            "name": "History",
            "description": "History.",
            "findings": [
              {
                "id": "history-finding",
                "name": "History",
                "description": "History.",
                "questions": [
                  {
                    "text": "How did the study of shapes develop from Euclid to modern geometry?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits the history of geometry?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "analysis",
            "name": "Analysis",
            "description": "Shape analysis.",
            "findings": [
              {
                "id": "analysis-finding",
                "name": "Analysis",
                "description": "Analysis.",
                "questions": [
                  {
                    "text": "What is statistical shape analysis, and how is shape defined mathematically as a space?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits shape analysis?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should polygon and polyhedron be the primary linked entries?",
    "How should geometry references be linked?",
    "How should shape analysis in statistics be related?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}