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square

vr.tr.square · thing-q164

Let an agent explain the square as a geometric figure, including its properties, formulas and uses.

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.

Properties

Sides and angles.

Properties

Geometric properties.

  1. What are its side length, area and diagonal? measurement
  2. Does it meet the definition? boundary

Construction

Drawing.

Construction

Construction.

  1. How can it be constructed exactly? action
  2. With which tools? definition
Arithmetic Squaring.

Operation

x squared.

Operation

Squaring.

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

Roots

Square roots.

Roots

Square roots.

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

Area units

Square metres.

Area

Area units.

  1. How are square units used in area? definition
  2. Are units consistent? boundary

Tiling

Grids.

Tiling

Tiling.

  1. How do squares tile surfaces? definition
  2. How many are needed? measurement
Senses Disambiguation.

Other senses

Town square, Punnett square.

Senses

Other senses.

  1. Which sense of square is meant? boundary
  2. Is there a better entry? action

Teaching

Explaining.

Teaching

Teaching.

  1. How can squares be taught clearly? action
  2. What misconceptions are common? boundary

Classifiers Filled

Family
Thing Registry
Category
Cross-cutting context
Entry kind
thing
Plane
XCT
Domain
XCT.QTY
Other names and narrower kinds
unit square, outpost, Room square, punnett square, knight outpost

What it is Filled

A plane figure with four equal sides and four right angles.

Why it exists Filled

Let an agent explain the square as a geometric figure, including its properties, formulas and uses.

Distinguishing features Filled

  • A square is a regular quadrilateral.
  • A square is a special case of both a rectangle and a rhombus.
  • Squares can tile the plane.

What robots and AI may and may not do Filled

Must not

  • State an incorrect result as established.
  • Present an approximate drawing or measurement as an exact square in a survey or plan.

Only with a human decision

  • A human must decide whether to rely on a computed area for a legal or financial decision such as a land sale.

May

  • Compute geometric properties of squares accurately.
  • Explain the geometry of the square.

Moral aspects Filled

  • Mathematical results should be accurate and properly credited.
  • Errors in area calculations can cost people money or land.

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

  • Q1187914 - registry parent class
  • Q209 - registry parent class
  • Q213723 - registry parent class
  • Q268132 - registry parent class
  • Q41159 - registry parent class
  • Q7333618 - registry parent class

related

  • rectangle - quadrilateral
  • cube - three dimensions
  • polygonal number - square numbers
  • town square - public space

What else AI and robots need to interact with it Filled

Identity and identifiers required Filled

  • Vercy registry: vr.tr.square
  • Wikidata: Q164 (https://www.wikidata.org/wiki/Q164)

Direct properties not applicable Not applicable

  • area: side squared square units
  • diagonal: side times sqrt(2) length

Plane XCT: no invented physical properties.

Recognition optional Filled

  • A square has four equal sides and four right angles.
  • Other senses such as arithmetic squaring, Punnett squares or chess outposts are separate.
  • A four-sided shape with equal sides and right angles.

Capabilities and actions required Filled

  • compute area and diagonal
  • construct and draw it
  • square a number
  • use it in grids and tilings

Hazards and failure modes required Filled

  • Confusing square units with linear units
  • Confusing senses

Standards and interfaces required Filled

  • ISO 80000-2 notation

Context of use required Filled

  • Geometry, measurement, design and arithmetic.
  • geometric square
  • square numbers
  • unit square
  • magic squares and Latin squares (related)

Sources Filled

  1. Wikidata item Q164: square - identity and sense of the item
  2. Wikipedia: Square - general description of the item

Open questions

  • Should square numbers be a separate entry?
  • How should the town square sense be split off?
  • How should related squares (Punnett, magic) be linked?

Machine files

Card as JSON Specification Card backlog vercy.card/1

Provenance

thing registry research (pass 2) · unreviewed

Built from: models/things/publications/thing-q164/spec.json