{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-12T03:20:15Z",
    "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": "2026-10-06T00:30:00Z",
      "ingestedAt": "2026-10-05T20:51:44+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-06T19:51:57+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q2553861",
    "registryId": "vr.tr.base-q2553861",
    "name": "base",
    "version": "0.2.0-wave.2",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QTY"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q2553861/",
  "model": {
    "registry_id": "vr.tr.base-q2553861",
    "name": "base",
    "purpose": "Let an agent explain the base of a geometric figure and its role in area and volume formulas, support calculations, separate the geometric sense from bases of numbers, logarithms and chemistry, and support learning.",
    "definition": "In geometry, the side or face of a figure on which it is considered to stand or from which its height is measured, such as the base of a triangle, parallelogram or trapezoid, the base faces of a prism or cylinder, the base of a pyramid or cone, and the bases of a frustum; the choice of base is often conventional, and formulas for area and volume are expressed in terms of base and height, with the word also used for the base of a logarithm or number system in other senses.",
    "what_it_is_for": "The side or face from which a figure height is measured.",
    "affordances": [
      "explain the geometric base",
      "support calculations",
      "separate other senses",
      "support learning"
    ],
    "distinguishing_features": [
      "Conventional choice",
      "Paired with height",
      "Formula role",
      "Two- and three-dimensional"
    ],
    "appearance": "Not physical; a designated side or face of a shape.",
    "visual_identification": [
      "Side or face from which height is measured",
      "Triangles, prisms, pyramids, cones",
      "Number base, logarithm base and chemical base are other senses"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "bases of triangles and quadrilaterals",
      "bases of prisms and cylinders",
      "bases of pyramids and cones",
      "bases of frustums",
      "bases in coordinate and solid geometry"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "facet",
        "why": "category"
      },
      {
        "relation": "is a kind of",
        "target": "geometric shape",
        "why": "category"
      },
      {
        "relation": "is related to",
        "target": "plane",
        "why": "bases lying in planes"
      },
      {
        "relation": "is related to",
        "target": "triangle",
        "why": "a figure with a base"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "Mathematical terminology conventions",
      "No regulation"
    ],
    "failure_modes_and_hazards": [
      "Confusing senses of base",
      "Mismatching base and height in formulas",
      "Assuming the base must be at the bottom"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Identify the base of a figure and use it consistently with the matching height in calculations.",
        "Explain that any side or face can serve as a base depending on orientation."
      ],
      "must_not": [
        "Mix up the geometric base with the base of a number system or a chemical base.",
        "Pair a base with a height that is not perpendicular to it in an area or volume formula.",
        "Present a computed area or volume without stating which base was used."
      ],
      "requires_human": [
        "Relying on computed dimensions for construction or manufacturing decisions."
      ]
    },
    "ethics": {
      "considerations": [
        "Small errors in basic geometry propagate into wrong measurements and costs.",
        "Clear teaching of fundamentals affects who succeeds in mathematics."
      ],
      "affected_parties": [
        "Students",
        "Teachers",
        "People relying on calculations"
      ]
    },
    "owners": {
      "steward": "Nobody: a mathematical concept held in common.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q2553861: base",
      "url": "https://www.wikidata.org/wiki/Q2553861",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Base (geometry)",
      "url": "https://en.wikipedia.org/wiki/Base_%28geometry%29",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "understand",
        "name": "Understand",
        "description": "What a base is.",
        "rationale": "Geometry.",
        "layers": [
          {
            "id": "concept",
            "name": "Concept",
            "description": "Concept.",
            "findings": [
              {
                "id": "concept-finding",
                "name": "Concept",
                "description": "Concept.",
                "questions": [
                  {
                    "text": "What is the base of a geometric figure, how is it chosen, and how does it pair with height?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the geometric base or a number, logarithm or chemical base meant?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "figures",
            "name": "Figures",
            "description": "Bases of figures.",
            "findings": [
              {
                "id": "figures-finding",
                "name": "Figures",
                "description": "Figures.",
                "questions": [
                  {
                    "text": "What are the bases of triangles, parallelograms, trapezoids, prisms, pyramids, cylinders, cones and frustums?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits a specific figure?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Calculations.",
        "rationale": "Practice.",
        "layers": [
          {
            "id": "area",
            "name": "Area",
            "description": "Area formulas.",
            "findings": [
              {
                "id": "area-finding",
                "name": "Area",
                "description": "Area.",
                "questions": [
                  {
                    "text": "How are areas computed from base and height for this figure?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits area?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "volume",
            "name": "Volume",
            "description": "Volume formulas.",
            "findings": [
              {
                "id": "volume-finding",
                "name": "Volume",
                "description": "Volume.",
                "questions": [
                  {
                    "text": "How are volumes of prisms, pyramids, cylinders and cones computed from base area and height?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits volume?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "other",
        "name": "Other",
        "description": "Other senses.",
        "rationale": "Disambiguation.",
        "layers": [
          {
            "id": "numbers",
            "name": "Numbers",
            "description": "Bases of number systems and logarithms.",
            "findings": [
              {
                "id": "numbers-finding",
                "name": "Numbers",
                "description": "Numbers.",
                "questions": [
                  {
                    "text": "What are the base of a number system and the base of a logarithm?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits numeral systems?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "chemistry",
            "name": "Chemistry",
            "description": "Chemical bases.",
            "findings": [
              {
                "id": "chemistry-finding",
                "name": "Chemistry",
                "description": "Chemistry.",
                "questions": [
                  {
                    "text": "What is a base in chemistry, and how does it differ from the geometric sense?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits acids and bases?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "learn",
        "name": "Learn",
        "description": "Teaching.",
        "rationale": "Education.",
        "layers": [
          {
            "id": "teach",
            "name": "Teach",
            "description": "Teaching.",
            "findings": [
              {
                "id": "teach-finding",
                "name": "Teach",
                "description": "Teaching.",
                "questions": [
                  {
                    "text": "How can base and height be taught to avoid orientation misconceptions?",
                    "kind": "action"
                  },
                  {
                    "text": "Which misconceptions arise?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "history",
            "name": "History",
            "description": "History.",
            "findings": [
              {
                "id": "history-finding",
                "name": "History",
                "description": "History.",
                "questions": [
                  {
                    "text": "How did the terminology of base and height develop in geometry?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should other senses of base be separate entries?",
    "How should geometry resources be linked?",
    "How should formula references be linked?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}