{ "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-11T06:44:35Z", "providers": [ "Claude" ], "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify", "pass": 2, "wave": 1, "engine": "claude", "enrichment": { "pass": 3, "engine": "claude", "producedAt": "2026-10-05T16:30:00Z", "ingestedAt": "2026-10-05T13:22:52+00:00", "fields": [ "agent_conduct", "ethics", "owners" ] }, "revisions": [ { "at": "2026-10-06T22:36:48+00:00", "engine": "codex", "fields": [ "agent_conduct", "definition", "distinguishing_features", "purpose", "visual_identification" ], "answering_review": "1084a92d65d11414785b21d6890dd88fe74473a04448673d2f93d052af018eee" } ], "gate": { "passed": true, "version": "1.0", "at": "2026-10-07T10:10:26+00:00", "evidence": [ "completeness 1.00", "sense: Wikidata description", "2 live sources", "review by codex: pass" ] } }, "metaModel": { "id": "THING-Q164", "registryId": "vr.tr.square", "name": "square", "version": "0.2.0-wave.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QTY" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q164/", "model": { "registry_id": "vr.tr.square", "name": "square", "purpose": "Let an agent explain the square as a geometric figure, including its properties, formulas and uses.", "definition": "A plane figure with four equal sides and four right angles.", "what_it_is_for": "Geometry, measurement, design and arithmetic.", "affordances": [ "compute area and diagonal", "construct and draw it", "square a number", "use it in grids and tilings" ], "distinguishing_features": [ "A square is a regular quadrilateral.", "A square is a special case of both a rectangle and a rhombus.", "Squares can tile the plane." ], "appearance": "A four-sided shape with equal sides and right angles.", "visual_identification": [ "A square has four equal sides and four right angles.", "Other senses such as arithmetic squaring, Punnett squares or chess outposts are separate." ], "physical_properties": [ { "quantity": "area", "typical_range": "side squared", "unit": "square units", "note": "" }, { "quantity": "diagonal", "typical_range": "side times sqrt(2)", "unit": "length", "note": "" } ], "families_and_kinds": [ "geometric square", "square numbers", "unit square", "magic squares and Latin squares (related)" ], "related_models": [ { "relation": "is a kind of", "target": "rectangle", "why": "quadrilateral" }, { "relation": "is related to", "target": "cube", "why": "three dimensions" }, { "relation": "is used in", "target": "polygonal number", "why": "square numbers" }, { "relation": "is confused with", "target": "town square", "why": "public space" } ], "identifiers": [], "standards_and_regulation": [ "ISO 80000-2 notation" ], "failure_modes_and_hazards": [ "Confusing square units with linear units", "Confusing senses" ], "in_scope": [], "out_of_scope": [], "characteristics": [], "agent_conduct": { "may": [ "Compute geometric properties of squares accurately.", "Explain the geometry of the square." ], "must_not": [ "State an incorrect result as established.", "Present an approximate drawing or measurement as an exact square in a survey or plan." ], "requires_human": [ "A human must decide whether to rely on a computed area for a legal or financial decision such as a land sale." ] }, "ethics": { "considerations": [ "Mathematical results should be accurate and properly credited.", "Errors in area calculations can cost people money or land." ], "affected_parties": [ "Students and teachers", "People relying on calculations" ] }, "owners": { "steward": "Nobody: a mathematical concept held in common.", "master_systems": [] } }, "sources": [ { "id": "wikidata", "title": "Wikidata item Q164: square", "url": "https://www.wikidata.org/wiki/Q164", "url_status": "live", "what_it_supports": "identity and sense of the item", "checked_by": "wikidata-api" }, { "id": "wikipedia-en", "title": "Wikipedia: Square", "url": "https://en.wikipedia.org/wiki/Square", "url_status": "live", "what_it_supports": "general description of the item", "checked_by": "wikidata-api sitelink" } ], "structure": { "bundles": [ { "id": "geometry", "name": "Geometry", "description": "Properties.", "rationale": "Properties define the square.", "layers": [ { "id": "properties", "name": "Properties", "description": "Sides and angles.", "findings": [ { "id": "properties-finding", "name": "Properties", "description": "Geometric properties.", "questions": [ { "text": "What are its side length, area and diagonal?", "kind": "measurement" }, { "text": "Does it meet the definition?", "kind": "boundary" } ] } ] }, { "id": "construction", "name": "Construction", "description": "Drawing.", "findings": [ { "id": "construction-finding", "name": "Construction", "description": "Construction.", "questions": [ { "text": "How can it be constructed exactly?", "kind": "action" }, { "text": "With which tools?", "kind": "definition" } ] } ] } ] }, { "id": "arithmetic", "name": "Arithmetic", "description": "Squaring.", "rationale": "The arithmetic sense.", "layers": [ { "id": "operation", "name": "Operation", "description": "x squared.", "findings": [ { "id": "operation-finding", "name": "Operation", "description": "Squaring.", "questions": [ { "text": "What is the square of this number?", "kind": "measurement" }, { "text": "Is it a perfect square?", "kind": "boundary" } ] } ] }, { "id": "roots", "name": "Roots", "description": "Square roots.", "findings": [ { "id": "roots-finding", "name": "Roots", "description": "Square roots.", "questions": [ { "text": "What is its square root?", "kind": "measurement" }, { "text": "Is it rational?", "kind": "boundary" } ] } ] } ] }, { "id": "use", "name": "Use", "description": "Applications.", "rationale": "Squares appear in design and measurement.", "layers": [ { "id": "area", "name": "Area units", "description": "Square metres.", "findings": [ { "id": "area-finding", "name": "Area", "description": "Area units.", "questions": [ { "text": "How are square units used in area?", "kind": "definition" }, { "text": "Are units consistent?", "kind": "boundary" } ] } ] }, { "id": "tiling", "name": "Tiling", "description": "Grids.", "findings": [ { "id": "tiling-finding", "name": "Tiling", "description": "Tiling.", "questions": [ { "text": "How do squares tile surfaces?", "kind": "definition" }, { "text": "How many are needed?", "kind": "measurement" } ] } ] } ] }, { "id": "senses", "name": "Senses", "description": "Disambiguation.", "rationale": "Many things are called square.", "layers": [ { "id": "other", "name": "Other senses", "description": "Town square, Punnett square.", "findings": [ { "id": "other-finding", "name": "Senses", "description": "Other senses.", "questions": [ { "text": "Which sense of square is meant?", "kind": "boundary" }, { "text": "Is there a better entry?", "kind": "action" } ] } ] }, { "id": "teaching", "name": "Teaching", "description": "Explaining.", "findings": [ { "id": "teaching-finding", "name": "Teaching", "description": "Teaching.", "questions": [ { "text": "How can squares be taught clearly?", "kind": "action" }, { "text": "What misconceptions are common?", "kind": "boundary" } ] } ] } ] } ] }, "openQuestions": [ "Should square numbers be a separate entry?", "How should the town square sense be split off?", "How should related squares (Punnett, magic) be linked?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }