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Angular defect

In geometry, the angular defect or simply defect (also called deficit or deficiency) is the failure of some angles to add up to the expected amount of 360° or 180°, when such angles in the Euclidean plane would. The opposite notion is the excess.

Overview, Positive defects on non-convex figures & Defect of a vertex

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

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Overview

Defect of a vertex

Examples

Descartes' theorem on total angular defect

Positive defects on non-convex figures

Bibliography

Advanced semantic analysis

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Map overview Semantic statistics

Angular defect

Nodes40
Edges39
Triples4
Avg. degree1.95
Density0.05
Components1

How this topic connects Entity context

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Angular defect

Top relations

related to External links · 4
Angular defect → Angular, Eric, MathWorld, Weisstein

Important terminology Word statistics

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Important terminology

defect polyhedron vertex angles curvature positive convex total vertices add defects 360 excess theorem euler characteristic sum euclidean 180 point

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Angular defectrelated to External linksWeisstein0.60section
Angular defectrelated to External linksEric0.60section
Angular defectrelated to External linksAngular0.60section
Angular defectrelated to External linksMathWorld0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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