SurfaceData
✖
SurfaceData
gives a list of property values for the specified surface entities.
gives the specified annotation associated with the given property.
Details
- SurfaceData[] gives a list of all surface entities.
- SurfaceData["Properties"] gives a list of available properties.
- SurfaceData["SampleEntities"] gives a list of sample entities.
- The specified entity in SurfaceData can be an Entity, EntityClass, entity canonical name, or list thereof.
- The specified property can be an EntityProperty, EntityPropertyClass, property canonical name, or list of properties.
- Properties that do not apply or are not known in a particular case are indicated by Missing[…].
- Properties include:
-
"AlgebraicDegree" algebraic degree "AlgebraicEquation" algebraic equation "AlternateNames" alternate names "AssociatedPeople" associated people "CartesianEquation" Cartesian equation "Centroid" centroid of solid "ChristoffelSymbolOfTheSecondKind" Christoffel symbol of the second kind "ChromaticNumber" chromatic number "Classes" classes "EulerCharacteristic" Euler characteristic "FilledRegion" filled region "FirstFundamentalForm" coefficients of the first fundamental form "GaussianCurvature" Gaussian curvature "GeneralizedDiameter" generalized diameter "Genus" genus "Graphics3D" 3D graphics expression "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 "Parameters" parameters "ParametricEquations" parametric equations "PrincipalCurvatures" principal curvatures "PunctureCount" number of punctures "RelatedWolframLanguageSymbols" related symbols in the Wolfram Language "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" description of variables "Variables" variables "VectorLength" vector length "Volume" volume of solid
Examples
open allclose allBasic Examples (8)Summary of the most common use cases
https://wolfram.com/xid/0enwk3pz2-o8t4yd
Return a list of sample surface entities:
https://wolfram.com/xid/0enwk3pz2-fvv9w9
Use to discover properties of a surface:
https://wolfram.com/xid/0enwk3pz2-0ocw82
Display an image of a surface:
https://wolfram.com/xid/0enwk3pz2-4rk2d3
https://wolfram.com/xid/0enwk3pz2-eh0aiu
Return people associated with a surface:
https://wolfram.com/xid/0enwk3pz2-t3xwl7
Find a list of sample entity classes of surfaces:
https://wolfram.com/xid/0enwk3pz2-j69kd
Find surfaces in a given class:
https://wolfram.com/xid/0enwk3pz2-dzzkrj
Properties & Relations (2)Properties of the function, and connections to other functions
Using SurfaceData is equivalent to calling EntityValue on the corresponding entity and property:
https://wolfram.com/xid/0enwk3pz2-mpzww1
https://wolfram.com/xid/0enwk3pz2-t49foq
Evaluate SurfaceData with "Classes" argument:
https://wolfram.com/xid/0enwk3pz2-5b2e8w
The above is equivalent to evaluating EntityClassList of the entity type "Surface":
https://wolfram.com/xid/0enwk3pz2-lx5erw
Possible Issues (1)Common pitfalls and unexpected behavior
Entity classes cannot be given as bare strings:
https://wolfram.com/xid/0enwk3pz2-ja63ev
Specifying an explicit EntityClass works as intended:
https://wolfram.com/xid/0enwk3pz2-4ulfxs
This is equivalent to calling EntityList on the EntityClass:
https://wolfram.com/xid/0enwk3pz2-rcn0sz
Neat Examples (2)Surprising or curious use cases
Color a surface according to its Gaussian curvature:
https://wolfram.com/xid/0enwk3pz2-6728bp
https://wolfram.com/xid/0enwk3pz2-nwhlmm
https://wolfram.com/xid/0enwk3pz2-u2fkmu
Display Peano's image on Peano's surface:
https://wolfram.com/xid/0enwk3pz2-up6930
Wolfram Research (2014), SurfaceData, Wolfram Language function, https://reference.wolfram.com/language/ref/SurfaceData.html (updated 2016).
Text
Wolfram Research (2014), SurfaceData, Wolfram Language function, https://reference.wolfram.com/language/ref/SurfaceData.html (updated 2016).
Wolfram Research (2014), SurfaceData, Wolfram Language function, https://reference.wolfram.com/language/ref/SurfaceData.html (updated 2016).
CMS
Wolfram Language. 2014. "SurfaceData." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2016. https://reference.wolfram.com/language/ref/SurfaceData.html.
Wolfram Language. 2014. "SurfaceData." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2016. https://reference.wolfram.com/language/ref/SurfaceData.html.
APA
Wolfram Language. (2014). SurfaceData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SurfaceData.html
Wolfram Language. (2014). SurfaceData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SurfaceData.html
BibTeX
@misc{reference.wolfram_2024_surfacedata, author="Wolfram Research", title="{SurfaceData}", year="2016", howpublished="\url{https://reference.wolfram.com/language/ref/SurfaceData.html}", note=[Accessed: 07-January-2025
]}
BibLaTeX
@online{reference.wolfram_2024_surfacedata, organization={Wolfram Research}, title={SurfaceData}, year={2016}, url={https://reference.wolfram.com/language/ref/SurfaceData.html}, note=[Accessed: 07-January-2025
]}