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Simple polygon

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.

Definitions, Computational problems & Overview

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Overview

Definitions

Properties

Computational problems

Related constructions

Advanced semantic analysis

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Map overview Semantic statistics

Simple polygon

Nodes68
Edges67
Triples42
Avg. degree1.97
Density0.029412
Components1

How this topic connects Entity context

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Simple polygon

Top relations

related to Computational problems · 11
Simple polygon → Although, Constructing, In, It, NP-complete, Pick's, Point, Simple, The, These, This
related to Definitions · 7
Simple polygon → An, Edges, Euclidean, No, Some, The, Two
related to Related constructions · 7
Simple polygon → According, Christoffel, Connecting, Every, Riemann, Schwarz, These
related to Properties · 6
Simple polygon → Every, For, If, The, Thus, When
related to External links · 4
Simple polygon → Eric, MathWorld, Simple, Weisstein
related to Special cases · 3
Simple polygon → Another, Equivalently, Every
is a · 2
Simple polygon → closed curve in the Euclidean plane consisting of straight line segments, polygon that does not intersect itself and has no holes
see also · 2
Simple polygon → Carpenter's, Nagy

Important terminology Word statistics

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Important terminology

polygon simple vertices displaystyle line interior point polygons every vertex two one theorem convex points sides time segments geometry also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Simple polygonis apolygon that does not intersect itself and has no holes0.90text
Simple polygonis aclosed curve in the Euclidean plane consisting of straight line segments0.90text
Simple polygonrelated to Computational problemsIn0.60section
Simple polygonrelated to Computational problemsPoint0.60section
Simple polygonrelated to Computational problemsIt0.60section
Simple polygonrelated to Computational problemsSimple0.60section
Simple polygonrelated to Computational problemsThese0.60section
Simple polygonrelated to Computational problemsPick's0.60section
Simple polygonrelated to Computational problemsThe0.60section
Simple polygonrelated to Computational problemsConstructing0.60section
Simple polygonrelated to Computational problemsThis0.60section
Simple polygonrelated to Computational problemsAlthough0.60section

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    Min side: 3
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