{
    "model": {
        "rank": 4779,
        "code": "thing-q189791",
        "model_id": "vr.tr.diagonal",
        "name": "diagonal",
        "purpose": "Enable an agent to recognise a geometric diagonal, record the figure and convention that define it, and determine which measurements, decompositions and constructions it supports.",
        "family": "Thing Registry",
        "category": "Cross-cutting context",
        "status": "research-draft",
        "kind": "thing",
        "plane": "XCT",
        "domain": "XCT.QLT",
        "industry": "",
        "version": "",
        "url": "/models/thing/q189791/",
        "tier": 2,
        "score": 72,
        "payload": {
            "layer": "wikidata",
            "aliases": [
                "space diagonal",
                "face diagonal"
            ],
            "aliasCount": 2,
            "merged": 2,
            "knownIn": 72,
            "facets": null,
            "markers": [],
            "lexicalClass": "",
            "senseRank": null,
            "alsoRegisteredAs": "vr.tr.diagonal",
            "source": {
                "dataset": "wikidata",
                "item": "Q189791",
                "url": "https://www.wikidata.org/wiki/Q189791",
                "license": "CC0 1.0"
            }
        },
        "research": {
            "vercy": "1.0-draft",
            "publication": {
                "status": "research-draft",
                "adjudicationStatus": "unreviewed",
                "publishableCanonical": false,
                "generatedAt": "2026-09-09T20:58:50Z",
                "providers": [
                    "Codex"
                ],
                "breadth": "recalled by Codex without web access - no source was read",
                "missingProviders": [],
                "pass": 2,
                "cost": {
                    "grok": {
                        "seconds": 17.4,
                        "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a087f6-8bd2-7d73-890f-1adda114a2cd\n--------\nuser\nDescribe what is already known about one registered thing. Answer as JSON only, no prose around it.\n\nThing: diagonal\nSense to describe: (none recorded)\nDomain code: XCT.QLT\nAlso known as: (none)\n\n\nContext for this batch of 1001 things:\n# Batch 005: 1001 regist",
                        "usd": 0,
                        "recall": true
                    },
                    "codex": {
                        "seconds": 54.1,
                        "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a087f6-8bdf-7322-b45c-b041f1ad4f2a\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: diagonal\nRegistry id: vr.tr.diagonal\nPlane / domain: XCT / XCT.QLT\nRegistry definition: (none recorded)\nNames folded into this entry: (none)\n\n\nContex"
                    }
                }
            },
            "metaModel": {
                "id": "THING-Q189791",
                "registryId": "vr.tr.diagonal",
                "name": "diagonal",
                "version": "0.1.0-research.1",
                "entryKind": "thing",
                "family": "Thing Registry",
                "domain": [
                    "XCT.QLT"
                ],
                "status": "research-draft"
            },
            "canonicalUrl": "https://ver.cy/models/thing/q189791/",
            "model": {
                "registry_id": "vr.tr.diagonal",
                "name": "diagonal",
                "purpose": "Enable an agent to recognise a geometric diagonal, record the figure and convention that define it, and determine which measurements, decompositions and constructions it supports.",
                "definition": "In geometry, a diagonal is a line segment joining two nonadjacent vertices of a polygon, or two vertices of a polyhedron that do not share an edge.",
                "scope_statement": "This model owns diagonal as a geometric relation realised by a straight segment between specified vertices of a polygon or polyhedron, including the distinction between face and space diagonals; it treats apparent slant as insufficient and leaves the registry's intended coverage of algebraic senses unresolved.",
                "in_scope": [
                    "Segments joining nonadjacent vertices of a polygon",
                    "Face diagonals and space diagonals of polyhedra under an explicit convention",
                    "The host figure, endpoint identities and adjacency relations that establish diagonal status",
                    "Length, direction and position relative to the host's interior and boundary",
                    "Diagonal intersections, subdivisions and permitted geometric constructions"
                ],
                "out_of_scope": [
                    "The complete geometry and topology of the host polygon or polyhedron",
                    "Matrix diagonals, diagonal matrices and diagonal operators",
                    "Diagonal relations in Cartesian products and mathematical diagonalisation arguments",
                    "Oblique lines or strokes identified only by visual slant",
                    "Physical braces, screen sizes and other applications beyond their underlying geometric segment"
                ],
                "distinguishing_features": [
                    "A polygon diagonal joins two vertices that are not consecutive on the polygon boundary; a segment joining consecutive vertices is an edge.",
                    "A segment joining arbitrary boundary points is not a polygon diagonal unless both endpoints are qualifying vertices.",
                    "A face diagonal joins nonadjacent vertices within one face; a space diagonal requires endpoints that share no face under the convention adopted here.",
                    "Rotating a figure does not alter diagonal status, although it changes whether the segment appears slanted, horizontal or vertical.",
                    "A diagonal of a concave polygon can pass outside the polygon, so interior containment is a separate test rather than a universal defining condition."
                ],
                "characteristics": [
                    {
                        "name": "Host figure",
                        "kind": "relation",
                        "unit_or_values": "Reference to a polygon or polyhedron with defined vertices, edges and, where applicable, faces",
                        "why_it_matters": "Diagonal status is relative to a particular host and its incidence structure."
                    },
                    {
                        "name": "Endpoint pair",
                        "kind": "relation",
                        "unit_or_values": "Unordered pair of distinct host-vertex identifiers",
                        "why_it_matters": "Identifies the diagonal independently of traversal direction or drawing orientation."
                    },
                    {
                        "name": "Diagonal convention",
                        "kind": "category",
                        "unit_or_values": "Polygon diagonal; face diagonal; space diagonal; explicitly documented alternative",
                        "why_it_matters": "Prevents incompatible uses of diagonal from being silently combined."
                    },
                    {
                        "name": "Endpoint incidence",
                        "kind": "state",
                        "unit_or_values": "Adjacent vertices; nonadjacent vertices sharing a face; vertices sharing no face; unresolved",
                        "why_it_matters": "Provides the primary evidence for rejecting an edge or distinguishing face and space diagonals."
                    },
                    {
                        "name": "Segment containment",
                        "kind": "state",
                        "unit_or_values": "Relative interior inside host; on boundary; partly outside; mixed boundary contact; unresolved",
                        "why_it_matters": "Controls whether the diagonal can support an interior subdivision or path."
                    },
                    {
                        "name": "Length",
                        "kind": "measurement",
                        "unit_or_values": "Nonnegative value in the host's length unit, with metric and precision stated",
                        "why_it_matters": "Supports comparison, construction and dimensional calculations."
                    },
                    {
                        "name": "Direction relative to reference",
                        "kind": "measurement",
                        "unit_or_values": "Undirected angle modulo 180 degrees in a plane, or an unoriented direction in space",
                        "why_it_matters": "Describes orientation without confusing visual slant with diagonal identity."
                    },
                    {
                        "name": "Intersection relation",
                        "kind": "relation",
                        "unit_or_values": "Other segment reference plus shared endpoint, proper crossing, overlap, disjoint or skew",
                        "why_it_matters": "Determines compatibility with subdivisions and distinguishes projected crossings from actual intersections."
                    }
                ],
                "affordances": [
                    "Validate whether a proposed endpoint pair defines a diagonal under the recorded convention.",
                    "Enumerate qualifying diagonals without counting reversed endpoint pairs twice.",
                    "Compute diagonal lengths and directions from sufficient geometric data.",
                    "Test whether a diagonal remains within the host and is usable for subdivision.",
                    "Compare diagonals for intersection, perpendicularity, equal length or bisection.",
                    "Construct or select diagonals for triangulation or geometric inference when the required assumptions hold."
                ]
            },
            "sources": [],
            "structure": {
                "bundles": [
                    {
                        "id": "diagonal-meaning",
                        "name": "Diagonal meaning",
                        "description": "Establishes which geometric sense is intended and what evidence makes a segment a diagonal.",
                        "rationale": "The word can refer to a vertex relation, a visual direction or an algebraic arrangement, and these require different recognition rules.",
                        "layers": [
                            {
                                "id": "geometric-sense",
                                "name": "Geometric sense",
                                "description": "Records the adopted definition and separates geometric membership from appearance.",
                                "findings": [
                                    {
                                        "id": "definition-over-slant",
                                        "name": "Definition over slant",
                                        "description": "Record the convention that establishes diagonal status; a slanted appearance alone does not establish it.",
                                        "questions": [
                                            {
                                                "text": "Does diagonal mean a polygon diagonal, a face diagonal or a space diagonal in this use?",
                                                "kind": "definition",
                                                "id": "definition-over-slant-q01"
                                            },
                                            {
                                                "text": "Which source or task specifies this convention, and does it use diagonal merely to mean oblique?",
                                                "kind": "provenance",
                                                "id": "definition-over-slant-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "endpoint-qualification",
                                "name": "Endpoint qualification",
                                "description": "Tests vertex membership and nonadjacency against the chosen host.",
                                "findings": [
                                    {
                                        "id": "qualifying-vertex-pair",
                                        "name": "Qualifying vertex pair",
                                        "description": "Identify both endpoints as host vertices and establish the incidence conditions required by the adopted definition.",
                                        "questions": [
                                            {
                                                "text": "Are both endpoints distinct vertices of the same identified host figure?",
                                                "kind": "boundary",
                                                "id": "qualifying-vertex-pair-q01"
                                            },
                                            {
                                                "text": "Are the endpoints connected by an edge, and which faces, if any, contain both?",
                                                "kind": "definition",
                                                "id": "qualifying-vertex-pair-q02"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "host-incidence-and-inventory",
                        "name": "Host incidence and inventory",
                        "description": "Relates each diagonal to the host's boundary structure and the complete set of qualifying endpoint pairs.",
                        "rationale": "Coordinates alone do not identify polygon adjacency or polyhedral faces, and diagonal counts depend on these relations.",
                        "layers": [
                            {
                                "id": "boundary-and-face-structure",
                                "name": "Boundary and face structure",
                                "description": "Records the host structure needed to distinguish edges, face diagonals and space diagonals.",
                                "findings": [
                                    {
                                        "id": "host-structure-evidence",
                                        "name": "Host structure evidence",
                                        "description": "Use an explicit boundary order or face incidence record instead of inferring connectivity from the drawing.",
                                        "questions": [
                                            {
                                                "text": "What cyclic vertex order defines the polygon, or what vertex, edge and face incidences define the polyhedron?",
                                                "kind": "definition",
                                                "id": "host-structure-evidence-q01"
                                            },
                                            {
                                                "text": "Are self-intersections, holes, repeated vertices or degenerate faces present that require a special convention?",
                                                "kind": "boundary",
                                                "id": "host-structure-evidence-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "diagonal-enumeration",
                                "name": "Diagonal enumeration",
                                "description": "Identifies qualifying pairs consistently and checks the limits of counting rules.",
                                "findings": [
                                    {
                                        "id": "unique-diagonal-inventory",
                                        "name": "Unique diagonal inventory",
                                        "description": "Treat a diagonal as an unordered qualifying vertex pair and distinguish this combinatorial inventory from geometrically usable diagonals.",
                                        "questions": [
                                            {
                                                "text": "Which unordered vertex pairs satisfy the adopted diagonal definition after edge pairs are excluded?",
                                                "kind": "measurement",
                                                "id": "unique-diagonal-inventory-q01"
                                            },
                                            {
                                                "text": "Does the requested count include every qualifying pair or only diagonals that satisfy an additional interior-containment condition?",
                                                "kind": "boundary",
                                                "id": "unique-diagonal-inventory-q02"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "embedding-and-measurement",
                        "name": "Embedding and measurement",
                        "description": "Records the diagonal's metric geometry and its actual position within the host.",
                        "rationale": "A qualifying vertex pair does not by itself establish length, interior containment or intersection in three dimensions.",
                        "layers": [
                            {
                                "id": "length-and-direction",
                                "name": "Length and direction",
                                "description": "Determines what can be measured from coordinates, dimensions or constraints.",
                                "findings": [
                                    {
                                        "id": "metric-evidence",
                                        "name": "Metric evidence",
                                        "description": "Record sufficient geometric evidence and the metric before calculating a diagonal's length or direction.",
                                        "questions": [
                                            {
                                                "text": "Which endpoint coordinates or host dimensions determine the length, in what metric and units?",
                                                "kind": "measurement",
                                                "id": "metric-evidence-q01"
                                            },
                                            {
                                                "text": "If a special formula is used, what establishes its assumptions, such as a rectangle's right angle?",
                                                "kind": "provenance",
                                                "id": "metric-evidence-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "containment-and-contact",
                                "name": "Containment and contact",
                                "description": "Separates diagonal identity from interior placement and boundary contacts.",
                                "findings": [
                                    {
                                        "id": "segment-host-position",
                                        "name": "Segment-host position",
                                        "description": "Test the segment apart from its endpoints for exterior portions, boundary overlap and passage through other vertices.",
                                        "questions": [
                                            {
                                                "text": "Does the segment's relative interior lie inside the host, on its boundary or partly outside it?",
                                                "kind": "measurement",
                                                "id": "segment-host-position-q01"
                                            },
                                            {
                                                "text": "Does it pass through another host vertex or overlap an edge, and how does the chosen operation handle that case?",
                                                "kind": "boundary",
                                                "id": "segment-host-position-q02"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "diagonal-relations-and-use",
                        "name": "Diagonal relations and use",
                        "description": "Determines how diagonals interact and which geometric operations their verified properties support.",
                        "rationale": "Crossing, bisection and subdivision are frequent uses of diagonals, but none follows from the label alone.",
                        "layers": [
                            {
                                "id": "relations-between-diagonals",
                                "name": "Relations between diagonals",
                                "description": "Tests intersection and special metric relationships without generalising from familiar quadrilaterals.",
                                "findings": [
                                    {
                                        "id": "verified-diagonal-relations",
                                        "name": "Verified diagonal relations",
                                        "description": "Record actual intersections, length comparisons, angles and bisection evidence; distinguish spatial relations from their projections.",
                                        "questions": [
                                            {
                                                "text": "Do the diagonals actually intersect, share an endpoint, overlap or remain disjoint or skew?",
                                                "kind": "measurement",
                                                "id": "verified-diagonal-relations-q01"
                                            },
                                            {
                                                "text": "What measurements or established host properties justify claims of equal length, perpendicularity or mutual bisection?",
                                                "kind": "provenance",
                                                "id": "verified-diagonal-relations-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "subdivision-and-inference",
                                "name": "Subdivision and inference",
                                "description": "Connects diagonal properties to triangulation, construction and conditional deductions.",
                                "findings": [
                                    {
                                        "id": "operation-preconditions",
                                        "name": "Operation preconditions",
                                        "description": "Select a diagonal for an operation only after checking the host and containment assumptions that make that operation valid.",
                                        "questions": [
                                            {
                                                "text": "Can this diagonal subdivide the polygon as intended without leaving its interior or creating prohibited crossings?",
                                                "kind": "action",
                                                "id": "operation-preconditions-q01"
                                            },
                                            {
                                                "text": "Which additional host assumptions are required before using the diagonal's measured properties to infer the figure's type or missing dimensions?",
                                                "kind": "action",
                                                "id": "operation-preconditions-q02"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "evidence-and-external-alignment",
                        "name": "Evidence and external alignment",
                        "description": "What the world already says about this thing, gathered so the model can be checked against it.",
                        "rationale": "A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.",
                        "layers": [
                            {
                                "id": "reported-evidence",
                                "name": "Reported evidence",
                                "description": "Findings from the breadth pass, kept separate from the structural claims.",
                                "findings": [
                                    {
                                        "id": "evidence-confidence-notes",
                                        "name": "Check these first",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "No sense is recorded; this account assumes the elementary geometric meaning rather than matrix terminology or an informal slanting orientation.",
                                            "For nonconvex polyhedra, a space diagonal need not lie wholly inside the solid; check the intended convention before imposing an interior requirement.",
                                            "These are recalled mathematical facts, not findings from sources read for this entry."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-confidence-notes-q01",
                                                "text": "Which of these check these first hold for the sense of diagonal this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-kinds",
                                        "name": "Kinds and varieties",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "Polygon diagonal",
                                            "Face diagonal of a polyhedron",
                                            "Space diagonal of a polyhedron"
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-kinds-q01",
                                                "text": "Which of these kinds and varieties hold for the sense of diagonal this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-real-world-use",
                                        "name": "Real-world use",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "Dividing polygons into triangles for geometric computation and area calculation.",
                                            "Checking rectangular layouts in construction by comparing diagonal lengths alongside other geometric constraints.",
                                            "Specifying screen size by the diagonal length of the display area.",
                                            "Calculating distances across rectangular rooms, boxes and other geometric forms."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-real-world-use-q01",
                                                "text": "Which of these real-world use hold for the sense of diagonal this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-measurements",
                                        "name": "Typical measurements",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            {
                                                "quantity": "Number of diagonals in a simple polygon with n vertices",
                                                "typical_range": "Exactly n(n−3)/2 for integer n ≥ 3",
                                                "unit": "count"
                                            },
                                            {
                                                "quantity": "Diagonal length of a rectangle with side lengths a and b",
                                                "typical_range": "Exactly √(a²+b²) in Euclidean geometry",
                                                "unit": "same length unit as a and b"
                                            },
                                            {
                                                "quantity": "Space diagonal length of a rectangular cuboid with edge lengths a, b and c",
                                                "typical_range": "Exactly √(a²+b²+c²) in Euclidean geometry",
                                                "unit": "same length unit as a, b and c"
                                            }
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-measurements-q01",
                                                "text": "Which of these typical measurements hold for the sense of diagonal this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-failure-modes-and-hazards",
                                        "name": "Failure modes and hazards",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "Assuming every diagonal lies inside its polygon; diagonals of concave polygons can pass outside it.",
                                            "Treating a diagonal as necessarily inclined at 45 degrees; its angle depends on the geometry and reference direction.",
                                            "Using the rectangular diagonal formula for a general quadrilateral without establishing a right angle.",
                                            "Treating equal diagonals alone as proof that a quadrilateral is a rectangle.",
                                            "Confusing a polyhedron's face diagonals with its space diagonals."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-failure-modes-and-hazards-q01",
                                                "text": "Which of these failure modes and hazards hold for the sense of diagonal this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-neighbours",
                                        "name": "Neighbouring kinds and how to tell them apart",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            {
                                                "name": "edge",
                                                "difference": "An edge connects adjacent vertices in the boundary structure; a diagonal connects vertices that do not share an edge."
                                            },
                                            {
                                                "name": "chord",
                                                "difference": "A chord joins two points on a curve, commonly a circle; a polygon diagonal is defined by nonadjacent vertices."
                                            },
                                            {
                                                "name": "diameter",
                                                "difference": "A circle's diameter is a chord through its centre; a diagonal need not pass through a centre."
                                            },
                                            {
                                                "name": "matrix diagonal",
                                                "difference": "A matrix diagonal is a sequence of entries selected by their row and column indices, rather than a geometric segment between vertices."
                                            },
                                            {
                                                "name": "oblique orientation",
                                                "difference": "An oblique orientation describes inclination relative to a reference; a geometric diagonal is defined by its endpoints and adjacency."
                                            }
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-neighbours-q01",
                                                "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of diagonal this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    }
                ]
            },
            "openQuestions": [
                "Does vr.tr.diagonal intend the geometric vertex-to-vertex sense, an orientation quality suggested by its domain placement, or a broader mathematical concept?",
                "Which reference should govern whether polyhedral diagonal includes both face and space diagonals or reserves the term for one of them?",
                "Should this entry cover diagonals of self-intersecting polygons, polygons with holes and higher-dimensional polytopes, and under which conventions?",
                "How should qualifying endpoint pairs that pass through another vertex or overlap the boundary be classified for recognition versus subdivision?",
                "Should algebraic and Cartesian-product senses be linked to neighbouring models or represented within this entry once its authoritative registry meaning is established?"
            ],
            "statistics": {
                "bundles": 5,
                "layers": 9,
                "findings": 14,
                "questions": 22
            }
        },
        "draft": {
            "generator": "vr.draft.v3",
            "status": "draft-generated",
            "researched": false,
            "archetype": "abstract concept",
            "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.",
            "facetsInferred": true,
            "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.",
            "purpose": "Give an agent a durable, checkable way to recognise a diagonal, record what state it is in, and decide what may be done with it.",
            "whatItIs": "Enable an agent to recognise a geometric diagonal, record the figure and convention that define it, and determine which measurements, decompositions and constructions it supports.",
            "characteristics": {
                "substance": "abstract",
                "origin": "conceptual",
                "agency": "inert"
            },
            "whatYouCanDoWithIt": [
                "observed and measured"
            ],
            "distinguishingFeatures": [
                "Names folded into this entry, which a task may need to split apart again: space diagonal, face diagonal.",
                "2 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.",
                "Described in 72 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is."
            ],
            "openQuestionsForResearch": [
                "Which of the bundles below does a real task actually need, and which are ceremony?",
                "What does this thing have that the facets do not capture at all?",
                "Which neighbouring kind is most often confused with a diagonal, and on what evidence are they told apart?"
            ],
            "whatItIsMadeOf": "an abstraction with no physical instance",
            "physicalCharacter": [
                "Does nothing on its own; everything it does, something else did to it.",
                "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing."
            ],
            "whatCanBeDoneWithIt": [
                "observe it, measure it, record its state"
            ],
            "howItIsRecognised": [
                "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about."
            ],
            "relatedModels": [
                {
                    "relation": "covers",
                    "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.",
                    "targets": [
                        "space diagonal",
                        "face diagonal"
                    ]
                }
            ],
            "standing": "Described in 72 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 2 finer distinctions are held inside this entry as names rather than as separate models.",
            "structure": {
                "bundles": [
                    {
                        "id": "identity-and-classification",
                        "name": "Identity, naming and classification",
                        "description": "How an agent tells one diagonal from another, and a diagonal from things that resemble it.",
                        "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.",
                        "layers": [
                            {
                                "id": "naming-and-identifiers",
                                "name": "Names and identifiers",
                                "description": "The names this thing goes by and the identifiers that survive translation and time.",
                                "findings": [
                                    {
                                        "id": "preferred-name-and-aliases",
                                        "name": "Preferred name, aliases and local names",
                                        "description": "Which name to use, which names mean the same thing, and which merely sound similar.",
                                        "questions": [
                                            {
                                                "id": "preferred-name-and-aliases-q01",
                                                "text": "What identifies and describes the name of a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "preferred-name-and-aliases-q02",
                                                "text": "Who or what asserted this about the name of a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "preferred-name-and-aliases-q03",
                                                "text": "What may an agent decide or do once the name of a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    },
                                    {
                                        "id": "stable-identifiers",
                                        "name": "Stable identifiers and external keys",
                                        "description": "Identifiers that keep pointing at this kind of thing across systems and languages.",
                                        "questions": [
                                            {
                                                "id": "stable-identifiers-q01",
                                                "text": "What identifies and describes an identifier for a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "stable-identifiers-q02",
                                                "text": "Who or what asserted this about an identifier for a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "stable-identifiers-q03",
                                                "text": "What may an agent decide or do once an identifier for a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "classification-and-granularity",
                                "name": "Classification and granularity",
                                "description": "Where a diagonal sits among kinds, and how finely a task needs to cut it.",
                                "findings": [
                                    {
                                        "id": "kind-and-parents",
                                        "name": "Kind, parents and neighbouring kinds",
                                        "description": "The classes this thing belongs to and the ones it is next to.",
                                        "questions": [
                                            {
                                                "id": "kind-and-parents-q01",
                                                "text": "What identifies and describes the kind of a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "kind-and-parents-q02",
                                                "text": "Who or what asserted this about the kind of a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "kind-and-parents-q03",
                                                "text": "What may an agent decide or do once the kind of a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    },
                                    {
                                        "id": "distinguishing-features",
                                        "name": "Distinguishing features",
                                        "description": "What separates a diagonal from the things most often confused with it.",
                                        "questions": [
                                            {
                                                "id": "distinguishing-features-q01",
                                                "text": "What identifies and describes what distinguishes a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "distinguishing-features-q02",
                                                "text": "Who or what asserted this about what distinguishes a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "distinguishing-features-q03",
                                                "text": "What may an agent decide or do once what distinguishes a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "state-and-lifecycle",
                        "name": "State and lifecycle",
                        "description": "The states a diagonal passes through and the events that move it between them.",
                        "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.",
                        "layers": [
                            {
                                "id": "lifecycle-stages",
                                "name": "Lifecycle stages",
                                "description": "From coming into existence to ceasing to be one of these.",
                                "findings": [
                                    {
                                        "id": "stages-and-transitions",
                                        "name": "Stages and transitions",
                                        "description": "The stages worth naming and what moves a diagonal between them.",
                                        "questions": [
                                            {
                                                "id": "stages-and-transitions-q01",
                                                "text": "What identifies and describes the lifecycle of a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "stages-and-transitions-q02",
                                                "text": "Who or what asserted this about the lifecycle of a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "stages-and-transitions-q03",
                                                "text": "What may an agent decide or do once the lifecycle of a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "observations-and-status",
                                "name": "Observations and current status",
                                "description": "What is observed about a diagonal, how often and by whom.",
                                "findings": [
                                    {
                                        "id": "observation-record",
                                        "name": "Observation record",
                                        "description": "How an observation of a diagonal is recorded so that it can be superseded rather than overwritten.",
                                        "questions": [
                                            {
                                                "id": "observation-record-q01",
                                                "text": "What identifies and describes an observation of a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "observation-record-q02",
                                                "text": "Who or what asserted this about an observation of a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "observation-record-q03",
                                                "text": "What may an agent decide or do once an observation of a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "definitions-in-contest",
                        "name": "Definitions and who holds them",
                        "description": "What diagonal is taken to mean, and by whom.",
                        "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.",
                        "layers": [
                            {
                                "id": "competing-definitions",
                                "name": "Competing definitions",
                                "description": "The main readings and the traditions behind them.",
                                "findings": [
                                    {
                                        "id": "definition-map",
                                        "name": "Definitions and their holders",
                                        "description": "Each definition with the school or body that holds it.",
                                        "questions": [
                                            {
                                                "id": "definition-map-q01",
                                                "text": "Which definitions of diagonal are in use, and which tradition or body holds each?",
                                                "kind": "definition"
                                            },
                                            {
                                                "id": "definition-map-q02",
                                                "text": "What turns on the difference between them in practice?",
                                                "kind": "boundary"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "operationalisation",
                                "name": "Operationalisation",
                                "description": "How it is measured or applied when it has to be.",
                                "findings": [
                                    {
                                        "id": "operational-record",
                                        "name": "Measures and proxies",
                                        "description": "Instruments and indicators used to stand in for it.",
                                        "questions": [
                                            {
                                                "id": "operational-record-q01",
                                                "text": "How is diagonal operationalised or measured in practice, and by what instrument?",
                                                "kind": "measurement"
                                            },
                                            {
                                                "id": "operational-record-q02",
                                                "text": "What does that operationalisation leave out, and when does that matter?",
                                                "kind": "boundary"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "instances-and-use",
                        "name": "Instances, use and consequence",
                        "description": "What counts as an instance of diagonal and what follows from calling something that.",
                        "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.",
                        "layers": [
                            {
                                "id": "instances",
                                "name": "What counts as an instance",
                                "description": "Clear cases, borderline cases and non-cases.",
                                "findings": [
                                    {
                                        "id": "instance-tests",
                                        "name": "Tests for an instance",
                                        "description": "What would settle whether something falls under it.",
                                        "questions": [
                                            {
                                                "id": "instance-tests-q01",
                                                "text": "What would settle whether something is an instance of diagonal?",
                                                "kind": "boundary"
                                            },
                                            {
                                                "id": "instance-tests-q02",
                                                "text": "Which borderline cases are argued about, and on what grounds?",
                                                "kind": "definition"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "consequence",
                                "name": "Consequence of application",
                                "description": "Rights, duties or decisions that follow from the label.",
                                "findings": [
                                    {
                                        "id": "consequence-record",
                                        "name": "What the label licenses",
                                        "description": "What an agent may do once something is classified this way.",
                                        "questions": [
                                            {
                                                "id": "consequence-record-q01",
                                                "text": "What follows practically once something is treated as diagonal?",
                                                "kind": "action"
                                            },
                                            {
                                                "id": "consequence-record-q02",
                                                "text": "What must an agent not infer from the label alone?",
                                                "kind": "action"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "provenance-and-evidence",
                        "name": "Provenance, evidence and time",
                        "description": "Where every claim about a diagonal came from and when it held.",
                        "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.",
                        "layers": [
                            {
                                "id": "source-and-authority",
                                "name": "Source and authority",
                                "description": "Who said it, on what evidence, and how strongly.",
                                "findings": [
                                    {
                                        "id": "claim-provenance",
                                        "name": "Claim provenance and confidence",
                                        "description": "The authority behind each claim about a diagonal and how confident it is.",
                                        "questions": [
                                            {
                                                "id": "claim-provenance-q01",
                                                "text": "What identifies and describes a claim about a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "claim-provenance-q02",
                                                "text": "Who or what asserted this about a claim about a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "claim-provenance-q03",
                                                "text": "What may an agent decide or do once a claim about a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "time-and-versions",
                                "name": "Time, versions and supersession",
                                "description": "When a claim was true, when it was learnt, and what replaced it.",
                                "findings": [
                                    {
                                        "id": "validity-and-supersession",
                                        "name": "Validity period and supersession",
                                        "description": "How an old claim about a diagonal is retired without being erased.",
                                        "questions": [
                                            {
                                                "id": "validity-and-supersession-q01",
                                                "text": "What identifies and describes the validity of a claim about a diagonal, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "validity-and-supersession-q02",
                                                "text": "Who or what asserted this about the validity of a claim about a diagonal, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "validity-and-supersession-q03",
                                                "text": "What may an agent decide or do once the validity of a claim about a diagonal is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    }
                ]
            },
            "statistics": {
                "bundles": 5,
                "layers": 10,
                "findings": 12,
                "questions": 32
            }
        }
    }
}