{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.symmetry","code":"thing-q12485","url":"https://ver.cy/models/thing/q12485/","name":"symmetry","alternateNames":["radial symmetric","bilateral symmetry","Order and disorder","octahedral symmetry","translational symmetry","zygomorphy","tetrahedral symmetry","Bäcklund transform","rotational symmetry","symmetry in biology","icosahedral symmetry","plane symmetry"],"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.QLT"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"The property of an object, pattern or system remaining unchanged under a transformation such as reflection, rotation, translation or scaling; central in mathematics, physics, chemistry, biology and art.","purpose":"Let an agent handle symmetry by type, group, examples and applications across disciplines.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["Invariance under transformation","Described by group theory","Found across nature","Linked to conservation laws in physics"],"structure":{"bundles":[{"id":"type","name":"Type","description":"Which symmetry.","layers":[{"id":"kind","name":"Kind","description":"Reflection, rotation.","findings":[{"id":"kind-finding","name":"Kind","description":"Symmetry type.","questions":[{"text":"What symmetries does this object have?","kind":"definition"},{"text":"What is the order of rotational symmetry?","kind":"measurement"}]}]},{"id":"group","name":"Group","description":"Symmetry group.","findings":[{"id":"group-finding","name":"Group","description":"Symmetry group.","questions":[{"text":"Which symmetry group describes it?","kind":"definition"},{"text":"How is it notated?","kind":"definition"}]}]}]},{"id":"science","name":"Science","description":"Applications.","layers":[{"id":"chemistry","name":"Chemistry","description":"Molecules and crystals.","findings":[{"id":"chemistry-finding","name":"Chemistry","description":"Chemical symmetry.","questions":[{"text":"What point group or space group applies?","kind":"provenance"},{"text":"What does it imply for properties?","kind":"definition"}]}]},{"id":"physics","name":"Physics","description":"Conservation laws.","findings":[{"id":"physics-finding","name":"Physics","description":"Physical symmetry.","questions":[{"text":"Which conservation law corresponds to this symmetry?","kind":"definition"},{"text":"Is the symmetry broken?","kind":"boundary"}]}]}]},{"id":"biology","name":"Biology","description":"Body plans.","layers":[{"id":"body","name":"Body plan","description":"Bilateral or radial.","findings":[{"id":"body-finding","name":"Body plan","description":"Body symmetry.","questions":[{"text":"Is the organism bilaterally or radially symmetric?","kind":"definition"},{"text":"How did this evolve, according to sources?","kind":"provenance"}]}]},{"id":"flowers","name":"Flowers","description":"Zygomorphy.","findings":[{"id":"flowers-finding","name":"Flowers","description":"Floral symmetry.","questions":[{"text":"Is the flower radially symmetric or zygomorphic?","kind":"definition"},{"text":"How does it affect pollination?","kind":"provenance"}]}]}]},{"id":"design","name":"Design","description":"Art.","layers":[{"id":"art","name":"Art","description":"Patterns.","findings":[{"id":"art-finding","name":"Art","description":"Art and pattern.","questions":[{"text":"How is symmetry used in this art tradition?","kind":"provenance"},{"text":"Which wallpaper group applies?","kind":"definition"}]}]},{"id":"teaching","name":"Teaching","description":"Learning.","findings":[{"id":"teaching-finding","name":"Teaching","description":"Teaching.","questions":[{"text":"Which activities help learners find lines of symmetry?","kind":"action"},{"text":"Which misconceptions arise?","kind":"boundary"}]}]}]}]},"agentConduct":{"may":["Explain symmetry and its uses in mathematics, physics, art and biology.","Detect or describe symmetry in images, structures or data it is authorized to process."],"mustNot":["Present symmetry of a face or body as a measure of a person's worth or health.","Claim a symmetry holds in data or a physical system without checking it.","Overstate symmetry-based arguments as proof of design or purpose."],"requiresHuman":["Using facial symmetry scores in decisions about real people."]},"ethics":{"considerations":["Beauty scoring based on symmetry can stigmatise people with facial differences.","Broken symmetries in models can hide real effects if assumed away."],"affectedParties":["People with facial or bodily differences","Students","Researchers relying on models"]},"owners":{"steward":"Nobody owns the concept; it is held in common.","roles":[],"masterSystems":[]},"relations":[{"target":"Q937228","type":"parent","note":"registry parent class"},{"target":"property","type":"related","note":"category"},{"target":"symmetry group","type":"related","note":"mathematics"},{"target":"crystal and molecule","type":"related","note":"examples"},{"target":"conservation law","type":"related","note":"physics"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.symmetry","Wikidata: Q12485 (https://www.wikidata.org/wiki/Q12485)"]},"properties":{"applicability":"not-applicable","items":[]},"recognition":{"applicability":"optional","items":["Mirror lines and rotation centres","Repeating tilings","Symmetry in social or legal senses is figurative","Mirror-image halves, rotational repeats or repeating patterns."]},"capabilities":{"applicability":"required","items":["identify symmetry types","find symmetry groups","explain symmetry in molecules, crystals and organisms","use symmetry in design"]},"hazards":{"applicability":"required","items":["Assuming approximate symmetry is exact","Confusing symmetry types"]},"interfaces":{"applicability":"required","items":["International Tables for Crystallography"]},"context":{"applicability":"required","items":["Describing patterns, simplifying problems and understanding laws of nature.","reflection (bilateral) symmetry","rotational and radial symmetry","translational symmetry","point group and space group symmetry","physical symmetries in laws"]}},"sources":[{"title":"Wikidata item Q12485: symmetry","url":"https://www.wikidata.org/wiki/Q12485","note":"identity and sense of the item"},{"title":"Wikipedia: Symmetry","url":"https://en.wikipedia.org/wiki/Symmetry","note":"general description of the item"}],"openQuestions":["Should symmetry types be separate entries?","How should point groups be linked?","How should biological symmetry be linked?"],"resources":{"spec":"/models/things/publications/thing-q12485/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q12485/spec.json"],"providers":["Claude"],"researchStatus":"unreviewed","generatedAt":"2026-09-11T10:31:22Z","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 2026-10-06T19:51:53+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}}