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Focal surface

For a surface in three dimension the focal surface, surface of centers or evolute is formed by taking the centers of the curvature spheres, which are the tangential spheres whose radii are the reciprocals of one of the principal curvatures at the point of tangency. Equivalently it is the surface formed by the centers of the circles which osculate the…

Special cases, Singularities & Overview

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Overview

Special cases

Singularities

Advanced semantic analysis

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Map overview Semantic statistics

Focal surface

Nodes25
Edges24
Triples14
Avg. degree1.92
Density0.08
Components1

How this topic connects Entity context

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Focal surface

Top relations

related to Special cases · 8
Focal surface → Dupin, It, More, One, The, The Dupin, Torus, Two
related to Singularities · 6
Focal surface → At, Away, Generically, The, There, Where

Important terminology Word statistics

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Important terminology

surface focal point two one points principal curvature curvatures consists whose centers formed normal corresponding evolute dupin surfaces umbilic three

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Focal surfacerelated to SingularitiesAway0.60section
Focal surfacerelated to SingularitiesAt0.60section
Focal surfacerelated to SingularitiesThere0.60section
Focal surfacerelated to SingularitiesWhere0.60section
Focal surfacerelated to SingularitiesGenerically0.60section
Focal surfacerelated to SingularitiesThe0.60section
Focal surfacerelated to Special casesThe0.60section
Focal surfacerelated to Special casesIt0.60section
Focal surfacerelated to Special casesTorus0.60section
Focal surfacerelated to Special casesMore0.60section
Focal surfacerelated to Special casesDupin0.60section
Focal surfacerelated to Special casesThe Dupin0.60section

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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