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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.
The analysis highlights Extension to polyhedra, Extension to crossed polygons and Properties as prominent areas in the source structure around Internal and external angles.
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.
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.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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See recurring relationship patterns around Internal and external angles before inspecting the individual extracted relationships.
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angle polygon sum angles interior vertex internal exterior one simple radians convex 360 180 called external polyhedron degrees two formed
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.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| 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 | 0.80 | text |
| angular defect | instance of | also known by other names | 0.80 | text |
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.
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.
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