{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-11T07:15:41Z",
    "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": 1,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-05T15:00:00Z",
      "ingestedAt": "2026-10-05T13:23:30+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "revisions": [
      {
        "at": "2026-10-06T22:50:25+00:00",
        "engine": "codex",
        "fields": [
          "distinguishing_features"
        ],
        "answering_review": "ba8f7c6c9159582192da0fc4ab9e58e4cc6c414aa28ed07e56d695ad63f098cc"
      }
    ],
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-07T10:10:30+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q37555",
    "registryId": "vr.tr.polygon",
    "name": "polygon",
    "version": "0.2.0-wave.1",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q37555/",
  "model": {
    "registry_id": "vr.tr.polygon",
    "name": "polygon",
    "purpose": "Let an agent handle polygons by sides, angles, regularity, convexity and area, and link extended notions appropriately.",
    "definition": "A plane figure bounded by a finite chain of straight line segments closing in a loop, such as triangles, quadrilaterals, pentagons and hexagons; extended notions include apeirogons and polyominoes built from squares.",
    "what_it_is_for": "Geometry, design, computer graphics, mapping and tiling.",
    "affordances": [
      "compute area and perimeter",
      "classify by sides and angles",
      "triangulate for graphics",
      "tile the plane with suitable polygons"
    ],
    "distinguishing_features": [
      "A polygon has straight sides forming a closed boundary.",
      "A simple polygon with n sides has an interior angle sum of (n - 2) x 180 degrees.",
      "Polygons can be classified by regularity and as convex or concave.",
      "Self-intersecting forms exist."
    ],
    "appearance": "Closed flat shapes with straight sides.",
    "visual_identification": [
      "Number of sides",
      "Names such as hexagon",
      "Polyominoes are shapes made of squares"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "triangles",
      "quadrilaterals",
      "regular polygons",
      "star polygons",
      "polyominoes (related)"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "plane figure",
        "why": "category"
      },
      {
        "relation": "includes",
        "target": "square",
        "why": "example"
      },
      {
        "relation": "forms faces of",
        "target": "polyhedron",
        "why": "solids"
      },
      {
        "relation": "is used in",
        "target": "computer graphics and GIS",
        "why": "applications"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "OGC Simple Features for polygons in GIS"
    ],
    "failure_modes_and_hazards": [
      "Area errors for self-intersecting polygons",
      "Winding-order errors in GIS"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Compute areas, angles and properties of polygons.",
        "Validate that polygons in map or design data are closed and not self-intersecting."
      ],
      "must_not": [
        "Present an invalid polygon as valid in map or design data others rely on.",
        "Alter property or boundary polygons without the owner's authority.",
        "Copy textbook solutions as a student's own work in graded assessment."
      ],
      "requires_human": [
        "Changing boundary polygons in land or administrative records."
      ]
    },
    "ethics": {
      "considerations": [
        "Polygons in maps define land and boundaries, so errors can affect people's property."
      ],
      "affected_parties": [
        "Students",
        "Landowners",
        "Users of mapping data"
      ]
    },
    "owners": {
      "steward": "Nobody owns it; the owner of each dataset answers for its polygons.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q37555: polygon",
      "url": "https://www.wikidata.org/wiki/Q37555",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Polygon",
      "url": "https://en.wikipedia.org/wiki/Polygon",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "shape",
        "name": "Shape",
        "description": "Which polygon.",
        "rationale": "Sides define it.",
        "layers": [
          {
            "id": "sides",
            "name": "Sides",
            "description": "Count.",
            "findings": [
              {
                "id": "sides-finding",
                "name": "Sides",
                "description": "Sides.",
                "questions": [
                  {
                    "text": "How many sides does it have?",
                    "kind": "measurement"
                  },
                  {
                    "text": "Is it regular?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "convexity",
            "name": "Convexity",
            "description": "Convex or concave.",
            "findings": [
              {
                "id": "convexity-finding",
                "name": "Convexity",
                "description": "Convexity.",
                "questions": [
                  {
                    "text": "Is it convex, concave or self-intersecting?",
                    "kind": "definition"
                  },
                  {
                    "text": "How does that affect calculations?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "measures",
        "name": "Measures",
        "description": "Area and angles.",
        "rationale": "Formulas apply.",
        "layers": [
          {
            "id": "area",
            "name": "Area",
            "description": "Formula.",
            "findings": [
              {
                "id": "area-finding",
                "name": "Area",
                "description": "Area.",
                "questions": [
                  {
                    "text": "What is its area?",
                    "kind": "measurement"
                  },
                  {
                    "text": "Which formula is used?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          },
          {
            "id": "angles",
            "name": "Angles",
            "description": "Interior sum.",
            "findings": [
              {
                "id": "angles-finding",
                "name": "Angles",
                "description": "Angles.",
                "questions": [
                  {
                    "text": "What are its interior angles?",
                    "kind": "measurement"
                  },
                  {
                    "text": "What is their sum?",
                    "kind": "measurement"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "computing",
        "name": "Computing",
        "description": "Graphics and GIS.",
        "rationale": "Polygons are data.",
        "layers": [
          {
            "id": "graphics",
            "name": "Graphics",
            "description": "Triangulation.",
            "findings": [
              {
                "id": "graphics-finding",
                "name": "Graphics",
                "description": "Graphics.",
                "questions": [
                  {
                    "text": "How is it triangulated for rendering?",
                    "kind": "action"
                  },
                  {
                    "text": "Is winding order consistent?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "gis",
            "name": "GIS",
            "description": "Geometries.",
            "findings": [
              {
                "id": "gis-finding",
                "name": "GIS",
                "description": "GIS polygons.",
                "questions": [
                  {
                    "text": "Is the polygon valid under the GIS standard?",
                    "kind": "boundary"
                  },
                  {
                    "text": "In which coordinate system?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "tiling",
        "name": "Tiling",
        "description": "Patterns.",
        "rationale": "Some polygons tile.",
        "layers": [
          {
            "id": "tiles",
            "name": "Tiles",
            "description": "Tessellation.",
            "findings": [
              {
                "id": "tiles-finding",
                "name": "Tiles",
                "description": "Tiling.",
                "questions": [
                  {
                    "text": "Can this polygon tile the plane?",
                    "kind": "boundary"
                  },
                  {
                    "text": "In which pattern?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          },
          {
            "id": "related",
            "name": "Related shapes",
            "description": "Polyominoes.",
            "findings": [
              {
                "id": "related-finding",
                "name": "Related",
                "description": "Related shapes.",
                "questions": [
                  {
                    "text": "Is a polyomino or apeirogon meant instead?",
                    "kind": "boundary"
                  },
                  {
                    "text": "Which entry fits?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should polygon types be separate entries?",
    "How should GIS polygons be linked?",
    "How should polyominoes be split off?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}