{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-12T23:35:12Z",
    "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": "2026-10-06T06:58:41+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-06T19:51:59+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q42344",
    "registryId": "vr.tr.cone",
    "name": "cone",
    "version": "0.2.0-wave.3",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q42344/",
  "model": {
    "registry_id": "vr.tr.cone",
    "name": "cone",
    "purpose": "Let an agent define cones and their kinds, compute volume, surface area and sections, relate cones to conic sections, and describe uses of the cone concept in physics and other fields.",
    "definition": "A three-dimensional geometric figure that tapers from a flat base, usually a circle, to a point called the apex, with a surface formed by lines from the apex to the base boundary, including right and oblique circular cones, elliptic cones and double cones extending through the apex; cones appear as solids in geometry and engineering, as conic sections when cut by planes, and in physics as light cones and Mach cones.",
    "what_it_is_for": "A basic solid in geometry with wide applications.",
    "affordances": [
      "define kinds of cone",
      "compute volume and area",
      "relate to conic sections",
      "describe uses in physics and engineering"
    ],
    "distinguishing_features": [
      "Apex and base",
      "Ruled surface",
      "Conic sections",
      "Physical analogues"
    ],
    "appearance": "A solid with a circular base tapering to a point, like a party hat or funnel.",
    "visual_identification": [
      "Base tapering to an apex",
      "Right, oblique, elliptic and double cones",
      "Pyramids have polygonal bases; cylinders do not taper"
    ],
    "physical_properties": [
      {
        "quantity": "volume",
        "typical_range": "one third base area times height",
        "unit": "formula",
        "note": ""
      },
      {
        "quantity": "lateral area of right circular cone",
        "typical_range": "pi r l",
        "unit": "formula",
        "note": "l is slant height"
      }
    ],
    "families_and_kinds": [
      "right and oblique circular cones",
      "elliptic cones",
      "double cones and cones in projective geometry",
      "truncated cones or frustums",
      "open and closed cones in topology and convex analysis",
      "light cones and Mach cones in physics"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "solid figure",
        "why": "in registry terms"
      },
      {
        "relation": "is a kind of",
        "target": "geometric primitive",
        "why": "in registry terms"
      },
      {
        "relation": "yields",
        "target": "conic section",
        "why": "when cut by a plane"
      },
      {
        "relation": "is related to",
        "target": "pyramid",
        "why": "the polygonal analogue"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "ISO 80000-2 notation for geometry"
    ],
    "failure_modes_and_hazards": [
      "Confusing slant height with height",
      "Confusing cone senses across fields",
      "Errors with oblique cones"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Explain the geometry of cones, including volume, surface area and conic sections.",
        "Compute cone dimensions for designs supplied by a user, stating units and assumptions."
      ],
      "must_not": [
        "Confuse slant height with height in calculations.",
        "Apply right cone formulas to oblique cones without saying so.",
        "Present results without units or checks where they feed into engineering or manufacturing.",
        "Mix the geometric sense with traffic cones, pine cones or retinal cones."
      ],
      "requires_human": [
        "Using a computed cone dimension in a structure, container or part that must be safe."
      ]
    },
    "ethics": {
      "considerations": [
        "Calculation errors can carry into products and structures.",
        "Clear teaching helps students who struggle with geometry."
      ],
      "affected_parties": [
        "Students",
        "Engineers and makers"
      ]
    },
    "owners": {
      "steward": "Nobody: a mathematical concept held in common.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q42344: cone",
      "url": "https://www.wikidata.org/wiki/Q42344",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Cone",
      "url": "https://en.wikipedia.org/wiki/Cone",
      "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 cone is.",
        "rationale": "Definition.",
        "layers": [
          {
            "id": "definition",
            "name": "Definition",
            "description": "Definition and kinds.",
            "findings": [
              {
                "id": "definition-finding",
                "name": "Definition",
                "description": "Definition.",
                "questions": [
                  {
                    "text": "What is a cone, and what kinds exist?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the solid a cone, a pyramid, a cylinder or a frustum?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "sections",
            "name": "Sections",
            "description": "Conic sections.",
            "findings": [
              {
                "id": "sections-finding",
                "name": "Sections",
                "description": "Sections.",
                "questions": [
                  {
                    "text": "How do plane cuts of a cone give circles, ellipses, parabolas and hyperbolas?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits conic section?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Computation.",
        "rationale": "Computation.",
        "layers": [
          {
            "id": "volume",
            "name": "Volume",
            "description": "Volume and area.",
            "findings": [
              {
                "id": "volume-finding",
                "name": "Volume",
                "description": "Volume.",
                "questions": [
                  {
                    "text": "How are volume, surface area and slant height computed for cones and frustums?",
                    "kind": "action"
                  },
                  {
                    "text": "What are the values for the cone in question?",
                    "kind": "measurement"
                  }
                ]
              }
            ]
          },
          {
            "id": "coordinates",
            "name": "Coordinates",
            "description": "Equations.",
            "findings": [
              {
                "id": "coordinates-finding",
                "name": "Coordinates",
                "description": "Coordinates.",
                "questions": [
                  {
                    "text": "How are cones described by equations in coordinates?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits quadric surface?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "fields",
        "name": "Fields",
        "description": "Cones across fields.",
        "rationale": "Application.",
        "layers": [
          {
            "id": "physics",
            "name": "Physics",
            "description": "Light and Mach cones.",
            "findings": [
              {
                "id": "physics-finding",
                "name": "Physics",
                "description": "Physics.",
                "questions": [
                  {
                    "text": "What are light cones in relativity and Mach cones in supersonic flow?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits the specific physics concept?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "mathematics",
            "name": "Mathematics",
            "description": "Cones in topology and analysis.",
            "findings": [
              {
                "id": "mathematics-finding",
                "name": "Mathematics",
                "description": "Mathematics.",
                "questions": [
                  {
                    "text": "What are cones in topology, convex analysis and projective geometry?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "context",
        "name": "Context",
        "description": "Uses and teaching.",
        "rationale": "Context.",
        "layers": [
          {
            "id": "uses",
            "name": "Uses",
            "description": "Engineering and everyday uses.",
            "findings": [
              {
                "id": "uses-finding",
                "name": "Uses",
                "description": "Uses.",
                "questions": [
                  {
                    "text": "Where do cones appear in engineering, design and everyday objects?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits the specific application?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "teach",
            "name": "Teach",
            "description": "Teaching.",
            "findings": [
              {
                "id": "teach-finding",
                "name": "Teach",
                "description": "Teaching.",
                "questions": [
                  {
                    "text": "How are cones taught, and which misconceptions arise?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which sources are cited?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should light cone and conic section be separate primary entries?",
    "How should geometry references be linked?",
    "The registry entry has merged aliases naming physics and topology senses; should they be split off?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}