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Research draft

geometric shape

vr.tr.geometric-shape · thing-q815741

Let an agent explain geometric shapes and their classification, relay properties and formulas for common shapes, describe how shapes are perceived and used, and distinguish geometric shape from form, pattern and the mathematical notion of shape space.

Thing Registry Cross-cutting context XCT.QLT

Research draft, second pass

A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.

Researched by: Claude

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

Define What a shape is.

Definition

Definition.

Definition

Definition.

  1. What is a geometric shape, and how is it abstracted from size, position and orientation? definition
  2. Is the question about shape, size, form or pattern? boundary

Classification

Classification.

Classification

Classification.

  1. How are shapes classified by dimension, regularity, convexity and symmetry? definition
  2. Which entry fits the specific shape? action
Compute Properties and formulas.

Formulas

Area, perimeter and volume.

Formulas

Formulas.

  1. What are the formulas for area, perimeter, surface area and volume of common shapes? measurement
  2. Which references are standard? provenance

Transformations

Transformations.

Transformations

Transformations.

  1. How do transformations preserve or change shape, and what is similarity? provenance
  2. Which entry fits geometric transformation? action
Perceive Perception and use.

Perception

Shape perception.

Perception

Perception.

  1. How do people perceive and recognise shapes, as psychology and vision science describe? provenance
  2. Which sources are cited? provenance

Design

Design and engineering.

Design

Design.

  1. How are shapes used in design, architecture and engineering, including CAD? provenance
  2. Which entry fits computer-aided design? action
Context History and analysis.

History

History.

History

History.

  1. How did the study of shapes develop from Euclid to modern geometry? provenance
  2. Which entry fits the history of geometry? action

Analysis

Shape analysis.

Analysis

Analysis.

  1. What is statistical shape analysis, and how is shape defined mathematically as a space? provenance
  2. Which entry fits shape analysis? action

Classifiers Filled

Family
Thing Registry
Category
Cross-cutting context
Entry kind
thing
Plane
XCT
Domain
XCT.QLT

What it is Filled

The form of an object or figure as defined by its boundary, outline or surface, abstracted from position, orientation, size and material, as in two-dimensional shapes such as circles, triangles and polygons and three-dimensional shapes such as spheres, cubes and cones, treated in geometry as sets of points and classified by properties such as symmetry, convexity and dimension; shapes are studied in mathematics, perceived in psychology and used in design and engineering.

Why it exists Filled

Let an agent explain geometric shapes and their classification, relay properties and formulas for common shapes, describe how shapes are perceived and used, and distinguish geometric shape from form, pattern and the mathematical notion of shape space.

Distinguishing features Filled

  • Invariant under similarity
  • Plane and solid
  • Classified by properties
  • Basis of design

What robots and AI may and may not do Filled

Must not

  • Classify a shape by appearance alone when the definition depends on exact measures.
  • Treat a shape symbol that carries meaning, such as a religious or hate symbol, as merely geometric.
  • Mislabel safety signage shapes, such as warning triangles or stop octagons, in instructions.

Only with a human decision

  • Deciding that a mark or symbol made of shapes is offensive or hateful for moderation.

May

  • Name and describe shapes by their properties, such as sides, angles and symmetry.
  • Recognise shapes in images and state the confidence of the match.

Moral aspects Filled

  • Shapes carry meaning in signage and symbols; misreading them can cause danger or offence.
  • Shape recognition in images can be used to identify people or places without consent.

Who is affected

  • Students
  • Road users reading signs
  • Communities whose symbols use shapes

Owners Filled

Steward

The public: held in common as mathematical knowledge.

Links to other meta-models Filled

parent

  • Q123410745 - registry parent class
  • Q207961 - registry parent class
  • Q36161 - registry parent class
  • Q80071 - registry parent class

related

  • geometric object - in registry terms
  • shape - in registry terms
  • set - in registry terms, as a set of points
  • geometry - the field

What else AI and robots need to interact with it Filled

Identity and identifiers required Filled

  • Vercy registry: vr.tr.geometric-shape
  • Wikidata: Q815741 (https://www.wikidata.org/wiki/Q815741)

Direct properties not applicable Not applicable

Not applicable

Plane XCT: no invented physical properties.

Recognition optional Filled

  • Form defined by boundary, independent of size and position
  • Plane and solid shapes, regular and irregular
  • Size is separate; pattern is repetition; form in art includes mass and texture
  • Outlines and solids such as circles, squares, triangles, spheres and cubes.

Capabilities and actions required Filled

  • explain the concept and classification
  • relay properties of common shapes
  • describe perception and use
  • distinguish related concepts

Hazards and failure modes required Filled

  • Confusing shape with size or form
  • Naming inconsistencies across languages
  • Misapplied formulas

Standards and interfaces required Filled

  • ISO standards for geometric symbols and drawing
  • No regulation of the concept

Context of use required Filled

  • Not applicable; a geometric concept.
  • plane shapes: polygons, circles, ellipses, curves
  • solid shapes: polyhedra, spheres, cylinders, cones
  • regular and irregular shapes
  • convex and non-convex shapes
  • fractal and organic shapes
  • shape in statistical shape analysis

Sources Filled

  1. Wikidata item Q815741: geometric shape - identity and sense of the item
  2. Wikipedia: Geometric shape - general description of the item

Open questions

  • Should polygon and polyhedron be the primary linked entries?
  • How should geometry references be linked?
  • How should shape analysis in statistics be related?

Machine files

Card as JSON Specification Card backlog vercy.card/1

Provenance

thing registry research (pass 2) · unreviewed

Built from: models/things/publications/thing-q815741/spec.json