Surface
Related Interpreter »Notable mathematical surfaces.
[prop]
gives the value of a specified property.
[{propi,…}]
gives the value of a list of properties.
EntityClass["Surface",{propispeci,…}]
represents a class of entities with values of propi defined by speci.
Sample Entities
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Sample Entity Classes
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Properties
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AlgebraicDegree algebraic degree AlgebraicEquation algebraic equation AlternateNames alternate names AreaElement area element AssociatedPeople associated people CartesianEquation Cartesian equation Centroid centroid of solid ChristoffelSymbolOfTheSecondKind Christoffel symbol of the second kind ChromaticNumber (map) chromatic number Classes classes CrossSections cross sections EntityClasses entity classes EntityTypeList entity type list EulerCharacteristic Euler characteristic FilledRegion filled region FirstFundamentalForm coefficients of the first fundamental form GaussianCurvature Gaussian curvature GeneralizedDiameter generalized diameter Genus genus Graphics3D 3‐D graphics Image image ImplicitGaussianCurvature implicit Gaussian curvature ImplicitMeanCurvature implicit mean curvature ImplicitNormalVector implicit normal vector InertiaTensor moment of inertia tensor of solid LineSegmentLengthCDF CDF of lengths LineSegmentLengthMean mean line segment length LineSegmentLengthPDF PDF of lengths MeanCurvature mean curvature MetricTensor metric tensor Name name NodeCount number of nodes NormalVector normal vector ParameterRange parameter range Parameters parameters ParametricEquations parametric equations PrincipalCurvatures principal curvatures PunctureCount number of punctures RelatedWolframLanguageSymbols related Wolfram Language symbols RicciTensor Ricci tensor RiemannTensor Riemann tensor SecondFundamentalForm coefficients of the second fundamental form SemialgebraicDescription semialgebraic description SingularPoints singular points SportObjects sport objects SurfaceArea surface area VariableConstraints variable constraints VariableDescriptions variable descriptions Variables variables VectorLength vector length Volume volume of solid
Details
- "Surface" entities include named mathematical surfaces.
- "Surface" entity classes include mathematical classifications based on curvature, algebraic degree, geometric characteristics and topology.
- Some properties are available for the "Surface" entity type as a whole and can be given using the form EntityValue["Surface",property]. Such properties include:
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"Properties" the list of available properties "PropertyCanonicalNames" the standard names of available properties "SampleEntities" a sample list of available entities (typically of length 10) "SampleEntityClasses" a sample list of available entity classes (typically of length 10) "EntityCount" number of entities available "Entities" the list of available entities "EntityCanonicalNames" the standard names of available entities "EntityClasses" the list of available entity classes "EntityClassCanonicalNames" the standard names of available entity classes "PropertyClasses" the list of available property classes "PropertyClassCanonicalNames" the standard names of available property classes "PropertyCount" number of properties available - The following annotations can be used in the third argument of EntityValue["Surface",property,annotation]:
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"EntityAssociation" an association of entities and entity-property values "PropertyAssociation" an association of properties and entity-property values "EntityPropertyAssociation" an association in which the specified entities are keys, and values are a nested association of properties and entity-property values "PropertyEntityAssociation" an association in which the specified properties are keys, and values are a nested association of entities and entity-property values "Dataset" a dataset in which the specified entities are keys, and values are an association of property names and entity-property values - The following annotations can be used in the second argument of EntityValue[property,annotation]:
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"Description" a brief textual description of the property
for entity discovery: