{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.square","code":"thing-q164","url":"https://ver.cy/models/thing/q164/","name":"square","alternateNames":["unit square","outpost","Room square","punnett square","knight outpost"],"kind":"thing","status":"published","version":"0.2.0-wave.1","language":"en","classifiers":{"family":"Thing Registry","category":"Cross-cutting context","entryKind":"thing","plane":"XCT","domain":["XCT.QTY"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"A plane figure with four equal sides and four right angles.","purpose":"Let an agent explain the square as a geometric figure, including its properties, formulas and uses.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["A square is a regular quadrilateral.","A square is a special case of both a rectangle and a rhombus.","Squares can tile the plane."],"structure":{"bundles":[{"id":"geometry","name":"Geometry","description":"Properties.","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.","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.","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.","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"}]}]}]}]},"agentConduct":{"may":["Compute geometric properties of squares accurately.","Explain the geometry of the square."],"mustNot":["State an incorrect result as established.","Present an approximate drawing or measurement as an exact square in a survey or plan."],"requiresHuman":["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."],"affectedParties":["Students and teachers","People relying on calculations"]},"owners":{"steward":"Nobody: a mathematical concept held in common.","roles":[],"masterSystems":[]},"relations":[{"target":"Q1187914","type":"parent","note":"registry parent class"},{"target":"Q209","type":"parent","note":"registry parent class"},{"target":"Q213723","type":"parent","note":"registry parent class"},{"target":"Q268132","type":"parent","note":"registry parent class"},{"target":"Q41159","type":"parent","note":"registry parent class"},{"target":"Q7333618","type":"parent","note":"registry parent class"},{"target":"rectangle","type":"related","note":"quadrilateral"},{"target":"cube","type":"related","note":"three dimensions"},{"target":"polygonal number","type":"related","note":"square numbers"},{"target":"town square","type":"related","note":"public space"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.square","Wikidata: Q164 (https://www.wikidata.org/wiki/Q164)"]},"properties":{"applicability":"not-applicable","items":["area: side squared square units","diagonal: side times sqrt(2) length"]},"recognition":{"applicability":"optional","items":["A square has four equal sides and four right angles.","Other senses such as arithmetic squaring, Punnett squares or chess outposts are separate.","A four-sided shape with equal sides and right angles."]},"capabilities":{"applicability":"required","items":["compute area and diagonal","construct and draw it","square a number","use it in grids and tilings"]},"hazards":{"applicability":"required","items":["Confusing square units with linear units","Confusing senses"]},"interfaces":{"applicability":"required","items":["ISO 80000-2 notation"]},"context":{"applicability":"required","items":["Geometry, measurement, design and arithmetic.","geometric square","square numbers","unit square","magic squares and Latin squares (related)"]}},"sources":[{"title":"Wikidata item Q164: square","url":"https://www.wikidata.org/wiki/Q164","note":"identity and sense of the item"},{"title":"Wikipedia: Square","url":"https://en.wikipedia.org/wiki/Square","note":"general description of the item"}],"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?"],"resources":{"spec":"/models/things/publications/thing-q164/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q164/spec.json"],"providers":["Claude"],"researchStatus":"unreviewed","generatedAt":"2026-09-11T06:44:35Z","builder":"tools/build_cards.py@1.0.0"},"completeness":{"sections":{"classifiers":"filled","whatItIs":"filled","purpose":"filled","distinguishingFeatures":"filled","structure":"filled","agentConduct":"filled","ethics":"filled","owners":"filled","relations":"filled","interaction.identity":"filled","interaction.properties":"not-applicable","interaction.recognition":"filled","interaction.capabilities":"filled","interaction.hazards":"filled","interaction.interfaces":"filled","interaction.context":"filled","sources":"filled"},"notes":{"_gate":"Published through the thing publication gate 1.0 on 2026-10-07T10:10:26+00:00: completeness 1.00; sense: Wikidata description; 2 live sources; review by codex: pass","interaction.properties":"Plane XCT: no invented physical properties."},"score":1.0}}