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Configuration (geometry)

In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such that each point is incident to the same number of lines and each line is incident to the same number of points.

Examples, Overview & The number of (n3) configurations

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Explore the main themes, entities and connections around Configuration (geometry). Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Examples

TrianglePolygonComplete quadranglePasch configurationComplete quadrilateral
24 related topics

Overview

MathematicsProjective geometryPointsArrangement of linesIncident
21 related topics

The number of (n3) configurations

1031229OEIS
4 related topics

Unconventional configurations

SpaceMöbius configurationReye's configurationMiquel configuration
4 related topics

Topics to explore

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Overview

Notation

Examples

Duality of configurations

The number of (n3) configurations

  • 10 10 (number)
  • 31 31 (number)
  • 229 229 (number)
  • OEIS On-Line Encyclopedia of Integer Sequences

Constructions of symmetric configurations

Unconventional configurations

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Configuration (geometry)

Nodes67
Edges66
Triples0
Avg. degree1.97
Density0.029851
Components1

How this topic connects Entity context

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Important terminology Word statistics

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Important terminology

configurations configuration points lines line plane projective geometry symmetric doi 10 two point planes incidence number instance one finite mathematics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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