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In geometry, a simple polygon is a polygon that does not intersect itself and has no holes. That is, it is a piecewise-linear Jordan curve consisting of finitely many line segments. These polygons include as special cases the convex polygons, star-shaped polygons, and monotone polygons.
The analysis highlights Definitions, Computational problems and Overview as prominent areas in the source structure around Simple polygon.
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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The extracted context around Simple polygon shows recurring relationship patterns in the source. For example, Simple polygon → Although, Constructing, NP-complete, Pick's, Point, Simple Another extracted example is Simple polygon → According, Christoffel, Connecting, Every, Riemann, Schwarz. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
polygon simple vertices displaystyle line interior point polygons every vertex two one theorem convex points sides time segments geometry also
TTTA extracted 22 structured relationships around Simple polygon. Examples in this analysis include Simple polygon → is a → polygon that does not intersect itself and has no holes and Simple polygon → is a → closed curve in the Euclidean plane consisting of straight line segments. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Simple polygon | is a | polygon that does not intersect itself and has no holes | 0.90 | text |
| Simple polygon | is a | closed curve in the Euclidean plane consisting of straight line segments | 0.90 | text |
| Simple polygon | related to Computational problems | Point | 0.60 | section |
| Simple polygon | related to Computational problems | Simple | 0.60 | section |
| Simple polygon | related to Computational problems | Pick's | 0.60 | section |
| Simple polygon | related to Computational problems | Constructing | 0.60 | section |
| Simple polygon | related to Computational problems | Although | 0.60 | section |
| Simple polygon | related to Computational problems | NP-complete | 0.60 | section |
| Simple polygon | related to Definitions | Euclidean | 0.60 | section |
| Simple polygon | related to Definitions | Two | 0.60 | section |
| Simple polygon | related to Definitions | Edges | 0.60 | section |
| Simple polygon | related to Properties | Thus | 0.60 | section |
The concept neighborhoods around Simple polygon bring nearby vocabulary together. In this analysis, examples include Simple, Interior and Displaystyle. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Simple polygon, one of the stronger structural bridges in this analysis connects Simple polygon 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 Simple polygon to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Definitions, Computational problems & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Simple polygon · EN edition · Analysis: TopicsToTalkAbout
