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polygon

vr.tr.polygon · thing-q37555

Let an agent handle polygons by sides, angles, regularity, convexity and area, and link extended notions appropriately.

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

Shape Which polygon.

Sides

Count.

Sides

Sides.

  1. How many sides does it have? measurement
  2. Is it regular? boundary

Convexity

Convex or concave.

Convexity

Convexity.

  1. Is it convex, concave or self-intersecting? definition
  2. How does that affect calculations? boundary
Measures Area and angles.

Area

Formula.

Area

Area.

  1. What is its area? measurement
  2. Which formula is used? definition

Angles

Interior sum.

Angles

Angles.

  1. What are its interior angles? measurement
  2. What is their sum? measurement
Computing Graphics and GIS.

Graphics

Triangulation.

Graphics

Graphics.

  1. How is it triangulated for rendering? action
  2. Is winding order consistent? boundary

GIS

Geometries.

GIS

GIS polygons.

  1. Is the polygon valid under the GIS standard? boundary
  2. In which coordinate system? definition
Tiling Patterns.

Tiles

Tessellation.

Tiles

Tiling.

  1. Can this polygon tile the plane? boundary
  2. In which pattern? definition

Related shapes

Polyominoes.

Related

Related shapes.

  1. Is a polyomino or apeirogon meant instead? boundary
  2. Which entry fits? action

Classifiers Filled

Family
Thing Registry
Category
Cross-cutting context
Entry kind
thing
Plane
XCT
Domain
XCT.QLT
Other names and narrower kinds
apeirogon, pseudogon, ◊, teragon, polyomino, dodecomino, decomino, hexomino, heptomino, octomino, tromino, nonomino

What it is Filled

A plane figure bounded by a finite chain of straight line segments closing in a loop, such as triangles, quadrilaterals, pentagons and hexagons; extended notions include apeirogons and polyominoes built from squares.

Why it exists Filled

Let an agent handle polygons by sides, angles, regularity, convexity and area, and link extended notions appropriately.

Distinguishing features Filled

  • A polygon has straight sides forming a closed boundary.
  • A simple polygon with n sides has an interior angle sum of (n - 2) x 180 degrees.
  • Polygons can be classified by regularity and as convex or concave.
  • Self-intersecting forms exist.

What robots and AI may and may not do Filled

Must not

  • Present an invalid polygon as valid in map or design data others rely on.
  • Alter property or boundary polygons without the owner's authority.
  • Copy textbook solutions as a student's own work in graded assessment.

Only with a human decision

  • Changing boundary polygons in land or administrative records.

May

  • Compute areas, angles and properties of polygons.
  • Validate that polygons in map or design data are closed and not self-intersecting.

Moral aspects Filled

  • Polygons in maps define land and boundaries, so errors can affect people's property.

Who is affected

  • Students
  • Landowners
  • Users of mapping data

Owners Filled

Steward

Nobody owns it; the owner of each dataset answers for its polygons.

Links to other meta-models Filled

parent

  • Q4365210 - registry parent class
  • Q4381515 - registry parent class
  • Q7520906 - registry parent class
  • Q78262214 - registry parent class

related

  • plane figure - category
  • square - example
  • polyhedron - solids
  • computer graphics and GIS - applications

What else AI and robots need to interact with it Filled

Identity and identifiers required Filled

  • Vercy registry: vr.tr.polygon
  • Wikidata: Q37555 (https://www.wikidata.org/wiki/Q37555)

Direct properties not applicable Not applicable

Not applicable

Plane XCT: no invented physical properties.

Recognition optional Filled

  • Number of sides
  • Names such as hexagon
  • Polyominoes are shapes made of squares
  • Closed flat shapes with straight sides.

Capabilities and actions required Filled

  • compute area and perimeter
  • classify by sides and angles
  • triangulate for graphics
  • tile the plane with suitable polygons

Hazards and failure modes required Filled

  • Area errors for self-intersecting polygons
  • Winding-order errors in GIS

Standards and interfaces required Filled

  • OGC Simple Features for polygons in GIS

Context of use required Filled

  • Geometry, design, computer graphics, mapping and tiling.
  • triangles
  • quadrilaterals
  • regular polygons
  • star polygons
  • polyominoes (related)

Sources Filled

  1. Wikidata item Q37555: polygon - identity and sense of the item
  2. Wikipedia: Polygon - general description of the item

Open questions

  • Should polygon types be separate entries?
  • How should GIS polygons be linked?
  • How should polyominoes 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-q37555/spec.json