{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.rectangle","code":"thing-q209","url":"https://ver.cy/models/thing/q209/","name":"rectangle","alternateNames":["oblong","minimum bounding rectangle","subrectangular","dynamic rectangle"],"kind":"thing","status":"published","version":"0.2.0-wave.2","language":"en","classifiers":{"family":"Thing Registry","category":"Cross-cutting context","entryKind":"thing","plane":"XCT","domain":["XCT.QLT"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"A quadrilateral with four right angles, whose opposite sides are equal and parallel and whose diagonals are equal and bisect each other, including the square as the special case with equal sides and the oblong with unequal sides, and used in concepts such as the minimum bounding rectangle in computing and dynamic rectangles in design; the rectangle is one of the most common shapes in construction, design, screens and mathematics.","purpose":"Let an agent explain the rectangle and its properties, support calculations of area, perimeter and diagonals, describe uses in design, computing and construction, and support learning.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["Right angles","Equal diagonals","Simple formulas","Ubiquitous shape"],"structure":{"bundles":[{"id":"understand","name":"Understand","description":"What a rectangle is.","layers":[{"id":"definition","name":"Definition","description":"Definition and properties.","findings":[{"id":"definition-finding","name":"Definition","description":"Definition.","questions":[{"text":"What defines a rectangle, and what properties of sides, angles and diagonals follow?","kind":"definition"},{"text":"Which entry fits quadrilaterals?","kind":"action"}]}]},{"id":"kinds","name":"Kinds","description":"Squares, oblongs and ratios.","findings":[{"id":"kinds-finding","name":"Kinds","description":"Kinds.","questions":[{"text":"How do squares, oblongs and dynamic rectangles such as the golden rectangle differ?","kind":"definition"},{"text":"Which entry fits the golden ratio?","kind":"action"}]}]}]},{"id":"compute","name":"Compute","description":"Calculations.","layers":[{"id":"calculate","name":"Calculate","description":"Area, perimeter and diagonals.","findings":[{"id":"calculate-finding","name":"Calculate","description":"Calculation.","questions":[{"text":"What are the area, perimeter and diagonal of this rectangle?","kind":"action"},{"text":"Which entry fits area?","kind":"action"}]}]},{"id":"coordinates","name":"Coordinates","description":"Coordinates and bounding boxes.","findings":[{"id":"coordinates-finding","name":"Coordinates","description":"Coordinates.","questions":[{"text":"How are rectangles represented in coordinates, and how are minimum bounding rectangles computed?","kind":"action"},{"text":"Which entry fits computational geometry?","kind":"action"}]}]}]},{"id":"apply","name":"Apply","description":"Applications.","layers":[{"id":"design","name":"Design","description":"Design and construction.","findings":[{"id":"design-finding","name":"Design","description":"Design.","questions":[{"text":"How do rectangles and aspect ratios shape paper sizes, screens, buildings and layouts?","kind":"provenance"},{"text":"Which entry fits paper sizes?","kind":"action"}]}]},{"id":"tiling","name":"Tiling","description":"Tiling and packing.","findings":[{"id":"tiling-finding","name":"Tiling","description":"Tiling.","questions":[{"text":"How are rectangles used in tiling, packing and layout problems?","kind":"provenance"},{"text":"Which entry fits packing problems?","kind":"action"}]}]}]},{"id":"learn","name":"Learn","description":"Teaching.","layers":[{"id":"teach","name":"Teach","description":"Teaching.","findings":[{"id":"teach-finding","name":"Teach","description":"Teaching.","questions":[{"text":"How can rectangles and their properties be taught to children?","kind":"action"},{"text":"Which misconceptions arise?","kind":"provenance"}]}]},{"id":"history","name":"History","description":"History.","findings":[{"id":"history-finding","name":"History","description":"History.","questions":[{"text":"How did rectangles feature in ancient geometry and measurement?","kind":"provenance"},{"text":"Which references are standard?","kind":"provenance"}]}]}]}]},"agentConduct":{"may":["Define a rectangle and compute its area, perimeter and diagonals.","Use bounding rectangles in computing with coordinates stated.","Explain that a square is a special rectangle."],"mustNot":["Treat a quadrilateral as a rectangle without checking its angles.","Use rectangle measurements to misstate land or floor areas in sales or contracts.","Confuse inclusive and exclusive edges of rectangles in code without saying so.","Present dynamic rectangles or golden proportions as proven rules of beauty."],"requiresHuman":["Using measured areas for sales, taxes or rents."]},"ethics":{"considerations":["Area figures decide prices and taxes; errors cost people money.","Claims about ideal proportions are often presented as more proven than they are."],"affectedParties":["Students","Buyers and tenants","Software users"]},"owners":{"steward":"Nobody: a mathematical object held in common.","roles":[],"masterSystems":[]},"relations":[{"target":"Q117400683","type":"parent","note":"registry parent class"},{"target":"Q1194115","type":"parent","note":"registry parent class"},{"target":"Q12218380","type":"parent","note":"registry parent class"},{"target":"Q2543717","type":"parent","note":"registry parent class"},{"target":"Q36810","type":"parent","note":"registry parent class"},{"target":"Q3801534","type":"parent","note":"registry parent class"},{"target":"convex cyclic quadrilateral","type":"related","note":"category"},{"target":"isosceles trapezoid","type":"related","note":"category"},{"target":"hypercube","type":"related","note":"the square as a two-dimensional hypercube"},{"target":"base","type":"related","note":"rectangular bases of solids"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.rectangle","Wikidata: Q209 (https://www.wikidata.org/wiki/Q209)"]},"properties":{"applicability":"not-applicable","items":[]},"recognition":{"applicability":"optional","items":["Four right angles, opposite sides equal","Square as special case","A parallelogram lacks right angles; a rhombus has equal sides without right angles","A four-sided shape with right angles."]},"capabilities":{"applicability":"required","items":["explain properties","support calculations","describe uses","support learning"]},"hazards":{"applicability":"required","items":["Confusing rectangle with parallelogram","Assuming all rectangles are oblongs","Aspect ratio confusion"]},"interfaces":{"applicability":"required","items":["Mathematical conventions","Paper and screen size standards based on rectangles","No regulation"]},"context":{"applicability":"required","items":["Quadrilateral with four right angles.","squares","oblongs","golden and other dynamic rectangles","bounding rectangles in computing","rectangles in tiling and packing"]}},"sources":[{"title":"Wikidata item Q209: rectangle","url":"https://www.wikidata.org/wiki/Q209","note":"identity and sense of the item"},{"title":"Wikipedia: Rectangle","url":"https://en.wikipedia.org/wiki/Rectangle","note":"general description of the item"}],"openQuestions":["Should the square be a separate entry?","How should geometry resources be linked?","How should design ratio resources be linked?"],"resources":{"spec":"/models/things/publications/thing-q209/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q209/spec.json"],"providers":["Claude"],"researchStatus":"unreviewed","generatedAt":"2026-09-12T04:08:37Z","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 2026-10-06T19:51:56+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}}