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Published

cube

vr.tr.cube · thing-q812880

Let an agent explain cubes as geometric solids, their properties and uses, and distinguish this sense from the arithmetic operation, puzzles and fictional objects.

Thing Registry Cross-cutting context XCT.QTY
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

Geometry Properties.

Measures

Volume and area.

Measures

Measures.

  1. What are its volume and surface area? measurement
  2. What is its space diagonal? measurement

Symmetry

Symmetry group.

Symmetry

Symmetry.

  1. What symmetries does it have? definition
  2. How does it relate to the octahedron? definition
Arithmetic Cubing.

Operation

x cubed.

Operation

Cubing.

  1. What is the cube of this number? measurement
  2. Is it a perfect cube? boundary

Cube roots

Inverse.

Roots

Cube roots.

  1. What is its cube root? measurement
  2. Is it rational? boundary
Use Applications.

Volume units

Cubic metres.

Volume

Volume units.

  1. How are cubic units used? definition
  2. Are units consistent? boundary

Nets

Construction.

Nets

Nets.

  1. Which nets fold into a cube? definition
  2. How many exist? measurement
Puzzles Related objects.

Puzzles

Rubik-type and Bedlam.

Puzzles

Puzzle cubes.

  1. Which puzzle is meant? definition
  2. Is it a separate entry? action

Fiction

Game objects.

Fiction

Fictional cubes.

  1. Is a fictional object meant? boundary
  2. Should it be split off? action

Classifiers Filled

Family
Thing Registry
Category
Cross-cutting context
Entry kind
thing
Plane
XCT
Domain
XCT.QTY
Other names and narrower kinds
Bedlam cube, Weighted Companion Cube, magic cube, unit cube, Prince Rupert's cube, Multimagic cube, perfect magic cube

What it is Filled

A three-dimensional solid bounded by six equal square faces, with twelve edges and eight vertices.

Why it exists Filled

Let an agent explain cubes as geometric solids, their properties and uses, and distinguish this sense from the arithmetic operation, puzzles and fictional objects.

Distinguishing features Filled

  • Regular hexahedron, a Platonic solid
  • Special case of rectangular prism
  • Tiles space
  • Cube number is the arithmetic sense

What robots and AI may and may not do Filled

Must not

  • State an incorrect result as established.
  • Confuse cubic and linear units in volume calculations.

Only with a human decision

  • Relying on a computed volume for safety or payment decisions.

May

  • Compute volumes and other geometric properties of cubes accurately.
  • Explain the geometry of the cube.

Moral aspects Filled

  • Volume errors can cause wrong doses, loads or charges.
  • Mathematical results should be accurate and credited.

Who is affected

  • Students and teachers
  • People relying on calculations

Owners Filled

Steward

Nobody: a mathematical concept held in common.

Links to other meta-models Filled

parent

  • Q10925338 - registry parent class
  • Q188745 - registry parent class
  • Q213723 - registry parent class
  • Q2485866 - registry parent class
  • Q262959 - registry parent class
  • Q3100536 - registry parent class

related

  • polyhedron - Platonic solid
  • square - two dimensions
  • fictional cubes - games

contains

  • face - six faces

What else AI and robots need to interact with it Filled

Identity and identifiers required Filled

  • Vercy registry: vr.tr.cube
  • Wikidata: Q812880 (https://www.wikidata.org/wiki/Q812880)

Direct properties not applicable Not applicable

  • volume: edge cubed cubic units
  • surface area: 6 times edge squared square units

Plane XCT: no invented physical properties.

Recognition optional Filled

  • A cube has six equal square faces.
  • A cube has twelve equal edges and eight vertices.
  • Puzzles and fictional cubes are related senses.
  • A box-shaped solid with square faces.

Capabilities and actions required Filled

  • compute volume and surface area
  • construct nets
  • cube a number
  • use in puzzles and design

Hazards and failure modes required Filled

  • Confusing cubic and square units

Standards and interfaces required Filled

  • ISO 80000-2 notation

Context of use required Filled

  • Geometry, measurement, packaging and arithmetic.
  • geometric cube
  • cube numbers
  • unit cube
  • puzzle cubes and magic cubes

Sources Filled

  1. Wikidata item Q812880: cube - identity and sense of the item
  2. Wikipedia: Cube - general description of the item

Open questions

  • Should cube numbers be a separate entry?
  • How should puzzles be linked?
  • How should fictional cubes be split off?

Machine files

Card as JSON Specification Card backlog vercy.card/1

Provenance

thing registry research (pass 2) · unreviewed

Built from: models/things/publications/thing-q812880/spec.json