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Polygonal chain

In geometry, a polygonal chain is a connected series of line segments. More formally, a polygonal chain ⁠ P {\displaystyle P} ⁠ is a curve specified by a sequence of points ( A 1 , A 2 , … , A n ) {\displaystyle (A_{1},A_{2},\dots ,A_{n})} called its vertices. The curve itself consists of the line segments connecting the consecutive vertices.

Applications, Variations & Parametrization

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Explore the main themes, entities and connections around Polygonal chain. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Variations

Parametrization

From point sets

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Polygonal chain

Nodes38
Edges37
Triples15
Avg. degree1.95
Density0.052632
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Polygonal chain

Top relations

has application · 5
Polygonal chain → Douglas, In, Peucker, Polygonal, Ramer
related to Monotone · 3
Polygonal chain → Every, In, The
see also · 3
Polygonal chain → Bézier, Chain, Link
related to Parametrization · 2
Polygonal chain → Each, For
is a · 1
Polygonal chain → connected series of line segments
related to Closed · 1
Polygonal chain → Often

Important terminology Word statistics

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Important terminology

polygonal chain segments polygon line closed chains monotone curve vertices points used called simple also geometry often linear connected sequence

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polygonal chainis aconnected series of line segments0.90text
Polygonal chainhas applicationPolygonal0.60section
Polygonal chainhas applicationIn0.60section
Polygonal chainhas applicationRamer0.60section
Polygonal chainhas applicationDouglas0.60section
Polygonal chainhas applicationPeucker0.60section
Polygonal chainrelated to ClosedOften0.60section
Polygonal chainrelated to MonotoneEvery0.60section
Polygonal chainrelated to MonotoneIn0.60section
Polygonal chainrelated to MonotoneThe0.60section
Polygonal chainrelated to ParametrizationEach0.60section
Polygonal chainrelated to ParametrizationFor0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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