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Developable surface

In mathematics, a developable surface (historically called a torse) is a smooth surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. it can be bent without stretching or compression). Conversely, it is a surface which can be made by transforming a plane (i.e. "folding", "bending"…

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Overview

Properties

Non-developable surface

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Developable surface

Nodes64
Edges63
Triples44
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

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Developable surface

Top relations

related to Relation to ruled surfaces · 7
Developable surface → Consider, Generically, In, It, The, This, When
related to Normal · 6
Developable surface → Each, Given, In, Take, The, These
related to Polar · 6
Developable surface → Equivalently, For, Given, Polar, The, These
related to External links · 5
Developable surface → Eric, Examples, MathWorld, Rhino3DE, Weisstein
related to Tangent · 4
Developable surface → As, Developable, The, This
has application · 3
Developable surface → Developable, Earth, Many
related to Basic examples · 3
Developable surface → Cylinders, Planes, The
related to Non-developable surface · 3
Developable surface → Gaussian, Most, Non-developable
related to Examples · 2
Developable surface → Spheres, The
related to Geodesics · 2
Developable surface → The, This

Important terminology Word statistics

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Important terminology

developable surface surfaces curve plane displaystyle space line tangent polar ruled smooth gamma one rolling family regression normal cylinder planes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
ductwork to shipbuilding.Relatedlyinstance ofranging from textiles to sheet metal0.80text
in classical differential geometryinstance ofranging from textiles to sheet metal0.80text
a development is the rolling of one smooth surface over another in Euclidean spaceinstance ofranging from textiles to sheet metal0.80text
Developable surfacehas applicationDevelopable0.60section
Developable surfacehas applicationMany0.60section
Developable surfacehas applicationEarth0.60section
Developable surfacerelated to Basic examplesThe0.60section
Developable surfacerelated to Basic examplesCylinders0.60section
Developable surfacerelated to Basic examplesPlanes0.60section
Developable surfacerelated to ExamplesSpheres0.60section
Developable surfacerelated to ExamplesThe0.60section
Developable surfacerelated to External linksWeisstein0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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