{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-13T00:25:56Z",
    "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": "2026-10-06T07:03:55+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-06T19:51:53+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q1059659",
    "registryId": "vr.tr.johnson-solid",
    "name": "Johnson solid",
    "version": "0.2.0-wave.3",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q1059659/",
  "model": {
    "registry_id": "vr.tr.johnson-solid",
    "name": "Johnson solid",
    "purpose": "Let an agent define Johnson solids, explain the classification and naming scheme, identify specific solids by number and construction, and distinguish them from uniform polyhedra and near-misses.",
    "definition": "One of 92 strictly convex polyhedra with regular polygon faces that are not uniform, that is neither Platonic, Archimedean, prisms nor antiprisms, enumerated by Norman Johnson in 1966 and proved complete by Victor Zalgaller in 1969, including pyramids, cupolae, rotundae and their elongated, gyroelongated, augmented and diminished forms such as the elongated pentagonal pyramid, the augmented dodecahedron and the gyroelongated square bipyramid; Johnson solids are numbered J1 to J92.",
    "what_it_is_for": "Not applicable; a class of geometric solids.",
    "affordances": [
      "define and classify",
      "explain naming and construction",
      "identify specific solids",
      "distinguish from uniform polyhedra"
    ],
    "distinguishing_features": [
      "Regular faces",
      "Strict convexity",
      "Non-uniform vertices",
      "Systematic naming"
    ],
    "appearance": "Convex solids with faces that are regular triangles, squares, pentagons, hexagons, octagons or decagons.",
    "visual_identification": [
      "Convex, regular-faced, non-uniform polyhedra",
      "92 solids from J1 to J92",
      "Platonic and Archimedean solids, prisms and antiprisms are uniform and excluded"
    ],
    "physical_properties": [
      {
        "quantity": "count",
        "typical_range": "92",
        "unit": "solids",
        "note": ""
      },
      {
        "quantity": "face types",
        "typical_range": "6",
        "unit": "regular polygons",
        "note": "triangle, square, pentagon, hexagon, octagon, decagon"
      }
    ],
    "families_and_kinds": [
      "pyramids, cupolae and rotundae",
      "elongated and gyroelongated forms",
      "bipyramids and bicupolae",
      "augmented, diminished and gyrate forms of Archimedean solids",
      "irregular members such as the snub disphenoid and bilunabirotunda"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "convex polyhedron",
        "why": "in registry terms"
      },
      {
        "relation": "is contrasted with",
        "target": "Archimedean solid",
        "why": "which is uniform"
      },
      {
        "relation": "was enumerated by",
        "target": "Norman Johnson",
        "why": "in 1966"
      },
      {
        "relation": "is built from",
        "target": "regular polygon",
        "why": "faces"
      }
    ],
    "identifiers": [
      {
        "scheme": "Johnson number",
        "value_or_pattern": "J1 to J92",
        "note": ""
      }
    ],
    "standards_and_regulation": [
      "No regulation; mathematical conventions"
    ],
    "failure_modes_and_hazards": [
      "Confusing with near-miss Johnson solids",
      "Naming confusion",
      "Counting errors"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Enumerate, construct and verify the Johnson solids and their properties.",
        "Generate nets and coordinates for teaching or modelling."
      ],
      "must_not": [
        "Count a Platonic, Archimedean, prism or antiprism among them.",
        "Claim a new solid in the family or a different total than the proven enumeration.",
        "Publish geometric data without checking that faces are regular and the solid is convex.",
        "Present a generated model as verified without a check."
      ],
      "requires_human": [
        "Using a generated solid as the basis of a physical structure or product."
      ]
    },
    "ethics": {
      "considerations": [
        "A mathematical enumeration is settled, and misstating it misleads learners.",
        "Credit for the enumeration belongs to the mathematicians who proved it."
      ],
      "affected_parties": [
        "Students and teachers",
        "Modellers and designers"
      ]
    },
    "owners": {
      "steward": "Nobody: mathematical objects held in common.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q1059659: Johnson solid",
      "url": "https://www.wikidata.org/wiki/Q1059659",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Johnson solid",
      "url": "https://en.wikipedia.org/wiki/Johnson_solid",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "define",
        "name": "Define",
        "description": "Definition.",
        "rationale": "Mathematics.",
        "layers": [
          {
            "id": "definition",
            "name": "Definition",
            "description": "Definition.",
            "findings": [
              {
                "id": "definition-finding",
                "name": "Definition",
                "description": "Definition.",
                "questions": [
                  {
                    "text": "What is a Johnson solid, and what conditions define the class?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the solid a Johnson solid, a uniform polyhedron or a near-miss?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "naming",
            "name": "Naming",
            "description": "Naming scheme.",
            "findings": [
              {
                "id": "naming-finding",
                "name": "Naming",
                "description": "Naming.",
                "questions": [
                  {
                    "text": "How does the naming scheme with elongated, gyroelongated, augmented and diminished work?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits the specific solid?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "explore",
        "name": "Explore",
        "description": "The 92 solids.",
        "rationale": "Mathematics.",
        "layers": [
          {
            "id": "families",
            "name": "Families",
            "description": "Families.",
            "findings": [
              {
                "id": "families-finding",
                "name": "Families",
                "description": "Families.",
                "questions": [
                  {
                    "text": "What families make up the 92 solids, and how are they constructed?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "properties",
            "name": "Properties",
            "description": "Properties.",
            "findings": [
              {
                "id": "properties-finding",
                "name": "Properties",
                "description": "Properties.",
                "questions": [
                  {
                    "text": "What are the vertex, edge, face counts, symmetries and volumes of specific solids?",
                    "kind": "measurement"
                  },
                  {
                    "text": "Which entry fits polyhedron geometry?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "context",
        "name": "Context",
        "description": "History and proof.",
        "rationale": "Context.",
        "layers": [
          {
            "id": "history",
            "name": "History",
            "description": "History.",
            "findings": [
              {
                "id": "history-finding",
                "name": "History",
                "description": "History.",
                "questions": [
                  {
                    "text": "How did Johnson enumerate the solids, and how did Zalgaller prove completeness?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which sources are cited?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "related",
            "name": "Related",
            "description": "Related classes.",
            "findings": [
              {
                "id": "related-finding",
                "name": "Related",
                "description": "Related.",
                "questions": [
                  {
                    "text": "What are near-miss Johnson solids and higher-dimensional analogues?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits near-miss Johnson solid?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "use",
        "name": "Use",
        "description": "Models and applications.",
        "rationale": "Practice.",
        "layers": [
          {
            "id": "models",
            "name": "Models",
            "description": "Making models.",
            "findings": [
              {
                "id": "models-finding",
                "name": "Models",
                "description": "Models.",
                "questions": [
                  {
                    "text": "How are Johnson solids modelled physically and in software?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits polyhedron model?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "applications",
            "name": "Applications",
            "description": "Applications.",
            "findings": [
              {
                "id": "applications-finding",
                "name": "Applications",
                "description": "Applications.",
                "questions": [
                  {
                    "text": "Where do Johnson solids appear in chemistry, architecture and design?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits the specific application?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should each solid be a separate entry?",
    "How should reference tables be linked?",
    "The registry entry has merged aliases naming specific solids; should they be split off?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}
