Published
symmetry
vr.tr.symmetry · thing-q12485
Let an agent handle symmetry by type, group, examples and applications across disciplines.
Thing Registry Cross-cutting context XCT.QLT
Bundle → Layer → Finding → QuestionsClassifiersWhat it isWhy it existsDistinguishing featuresWhat robots and AI may and may not doMoral aspectsOwnersLinks to other meta-modelsIdentity and identifiersDirect propertiesRecognitionCapabilities and actionsHazards and failure modesStandards and interfacesContext of useSources
Bundle → Layer → Finding → Questions Filled
4 bundles · 8 layers · 8 findings · 16 questions
Type Which symmetry.
Kind
Reflection, rotation.
Kind
Symmetry type.
- What symmetries does this object have? definition
- What is the order of rotational symmetry? measurement
Group
Symmetry group.
Group
Symmetry group.
- Which symmetry group describes it? definition
- How is it notated? definition
Science Applications.
Chemistry
Molecules and crystals.
Chemistry
Chemical symmetry.
- What point group or space group applies? provenance
- What does it imply for properties? definition
Physics
Conservation laws.
Physics
Physical symmetry.
- Which conservation law corresponds to this symmetry? definition
- Is the symmetry broken? boundary
Biology Body plans.
Body plan
Bilateral or radial.
Body plan
Body symmetry.
- Is the organism bilaterally or radially symmetric? definition
- How did this evolve, according to sources? provenance
Flowers
Zygomorphy.
Flowers
Floral symmetry.
- Is the flower radially symmetric or zygomorphic? definition
- How does it affect pollination? provenance
Design Art.
Art
Patterns.
Art
Art and pattern.
- How is symmetry used in this art tradition? provenance
- Which wallpaper group applies? definition
Teaching
Learning.
Teaching
Teaching.
- Which activities help learners find lines of symmetry? action
- Which misconceptions arise? boundary
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- thing
- Plane
- XCT
- Domain
- XCT.QLT
- Other names and narrower kinds
- 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
What it is Filled
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.
Why it exists Filled
Let an agent handle symmetry by type, group, examples and applications across disciplines.
Distinguishing features Filled
- Invariance under transformation
- Described by group theory
- Found across nature
- Linked to conservation laws in physics
What robots and AI may and may not do Filled
Must not
- 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.
Only with a human decision
- Using facial symmetry scores in decisions about real people.
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.
Moral aspects Filled
- Beauty scoring based on symmetry can stigmatise people with facial differences.
- Broken symmetries in models can hide real effects if assumed away.
Who is affected
- People with facial or bodily differences
- Students
- Researchers relying on models
Owners Filled
Steward
Nobody owns the concept; it is held in common.
Links to other meta-models Filled
parent
- Q937228 - registry parent class
related
- property - category
- symmetry group - mathematics
- crystal and molecule - examples
- conservation law - physics
What else AI and robots need to interact with it Filled
Identity and identifiers required Filled
- Vercy registry: vr.tr.symmetry
- Wikidata: Q12485 (https://www.wikidata.org/wiki/Q12485)
Direct properties not applicable Not applicable
Not applicable
Plane XCT: no invented physical properties.
Recognition optional Filled
- Mirror lines and rotation centres
- Repeating tilings
- Symmetry in social or legal senses is figurative
- Mirror-image halves, rotational repeats or repeating patterns.
Capabilities and actions required Filled
- identify symmetry types
- find symmetry groups
- explain symmetry in molecules, crystals and organisms
- use symmetry in design
Hazards and failure modes required Filled
- Assuming approximate symmetry is exact
- Confusing symmetry types
Standards and interfaces required Filled
- International Tables for Crystallography
Context of use required Filled
- 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 Filled
- Wikidata item Q12485: symmetry - identity and sense of the item
- Wikipedia: Symmetry - general description of the item
Open questions
- Should symmetry types be separate entries?
- How should point groups be linked?
- How should biological symmetry be linked?
Machine files
Provenance
thing registry research (pass 2) · unreviewed
Built from: models/things/publications/thing-q12485/spec.json