Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Internal and external angles: Extension to polyhedra, Extension to crossed polygons & Properties

In geometry, an angle of a polygon is formed by two adjacent sides. For a simple polygon (non-self-intersecting), regardless of whether it is convex or non-convex, this angle is called an internal angle (or interior angle) if a point within the angle is in the interior of the polygon. A polygon has exactly one internal angle per vertex.

Language: English [EN]
Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.
100%
More settings
100% 100% 100% 100% 100%

Internal and external angles topic overview

The analysis highlights Extension to polyhedra, Extension to crossed polygons and Properties as prominent areas in the source structure around Internal and external angles.

Related topics
24
Source areas
4
Connected nodes
28
Extracted relationships
2
Related term clusters
23
Bridge connections
28

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 10 topics
Extension to polyhedra · 8 topics
Extension to crossed polygons · 4 topics
Properties · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Start with your topic. Discover where to go next.

Explore different angles and find fresh ideas to shape your next piece of content.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Properties

Extension to crossed polygons

Extension to polyhedra

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Internal and external angles connects Entity context

See recurring relationship patterns around Internal and external angles before inspecting the individual extracted relationships.

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

angle polygon sum angles interior vertex internal exterior one simple radians convex 360 180 called external polyhedron degrees two formed

Internal and external angles relationships Subject–Predicate–Object triples

TTTA extracted 2 structured relationships around Internal and external angles. Examples in this analysis include star polygons by using the concept of directed angles → instance of → Extension to crossed polygonsThe interior angle concept can be extended in a consistent way to crossed polygons and angular defect → instance of → also known by other names. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
star polygons by using the concept of directed anglesinstance ofExtension to crossed polygonsThe interior angle concept can be extended in a consistent way to crossed polygons0.80text
angular defectinstance ofalso known by other names0.80text

Related concept clusters Related term clusters

The concept neighborhoods around Internal and external angles bring nearby vocabulary together. In this analysis, examples include Simple, Polygon and Radians. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Internal and external angles
    • Simple
    • Polygon
    • Radians
    • Vertices
    • Vertex
    • Crossed
    • Polygons
    • Interior
    • 2π
    • Extended
    • Formed
    • Side
  • internal and external angles
    • Sum
    • Simple
    • Interior
    • Polygon
    • Radians
    • Exterior
    • One
    • Vertices
    • Degrees
    • Vertex
    • Crossed
    • Polygons
  • angle
    • Vertex
    • Interior
    • Internal
    • One
    • Polygon
    • Exterior
    • Sum
    • Crossed
    • Polygons
    • Simple
    • Associated
    • Called
  • simple polygon
    • Simple
    • Called
    • Internal
    • One
    • Radians
    • External
    • Number
    • Sides
    • Convex
    • Two
    • Sum
    • Degrees
  • vertex
    • Angle
    • Associated
    • Facets
    • One
    • Two
    • Internal
    • Radians
    • Sum
    • Exterior
    • 2π
    • External
    • Side
  • straight angle
    • Vertex
    • Interior
    • Internal
    • One
    • Polygon
    • Exterior
    • Sum
    • Crossed
    • Polygons
    • Simple
    • Associated
    • Called
  • vertical angles
    • Sum
    • Interior
    • Radians
    • Exterior
    • Vertices
    • Degrees
    • Simple
    • Vertex
    • 2π
    • Extended
    • Number
    • Using
  • directed angles
    • Sum
    • Interior
    • Radians
    • Exterior
    • Vertices
    • Degrees
    • Simple
    • Vertex
    • 2π
    • Extended
    • Number
    • Using

Connections between topic areas Semantic bridges

For Internal and external angles, one of the stronger structural bridges in this analysis connects Internal and external angles with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Internal and external angles — Overview · splits 18 ⟂ 11
Internal and external angles — Extension to polyhedra · splits 20 ⟂ 9
Internal and external angles — Extension to crossed polygons · splits 24 ⟂ 5
Internal and external angles — Properties · splits 26 ⟂ 3

Map overview Semantic statistics

Internal and external angles

Nodes29
Edges28
Triples2
Avg. degree1.93
Density0.068966
Components1

Source & methodology

TTTA analyzes the structure around Internal and external angles to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Extension to polyhedra, Extension to crossed polygons & Properties, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Internal and external angles · EN edition · Analysis: TopicsToTalkAbout

For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.

Monitor your Domain Rating with FrogDR