Notable mathematical solids.

Entity["Solid",name] or

represents an entity of type "Solid".

[prop]

gives the value of a specified property.

[{propi,}]

gives the value of a list of properties.

EntityClass["Solid",{propispeci,}]

represents a class of entities with values of propi defined by speci.

Sample Entities

Sample Entity Classes

Properties

  • AlternateNamesalternate names
    AssociatedPeopleassociated people
    Boundaryboundary
    BoundaryMeshRegionboundary mesh representation
    BoundarySurfaceboundary surface
    BoundingBoxbounding box corners
    Centroidcentroid
    Circumcentercircumcenter
    Circumdiametercircumdiameter
    Circumradiuscircumradius
    Circumspherecircumsphere
    Classesclasses
    Concaveconcave
    ConstantWidthconstant width
    Convexconvex
    ConvexityCoefficientconvexity coefficient
    CrossSectionscross sections
    EntityClassesentity classes
    FaceCountnumber of faces
    GeneralizedDiametergeneralized diameter
    Graphics3D3D graphics
    Heightheight
    Hexahedronhexahedron
    Imageimage
    ImplicitRegionimplicit region
    Incenterincenter
    Inequalitiesdefining inequalities
    InertiaTensormoment of inertia tensor
    Inradiusinradius
    Insphereinsphere
    LateralSurfaceArealateral surface area
    LineSegmentLengthCDFCDF of lengths
    LineSegmentLengthMeanmean line segment length
    LineSegmentLengthPDFPDF of lengths
    MeanCylindricalRadiusmean cylindrical radius
    MeanSphericalRadiusmean spherical radius
    MeanSquareCylindricalRadiusmean square cylindrical radius
    MeanSquareSphericalRadiusmean square spherical radius
    MeshRegionmesh representation
    Namename
    Parallelepipedparallelepiped
    Parametersparameters
    ParametricRegionparametric region
    Polyhedronpolyhedron
    RealWorldExamplesreal world examples
    Regionregion
    RegularPolyhedronregular polyhedron
    RelatedWolframLanguageSymbolsrelated Wolfram Language symbols
    SlantHeightslant height
    SolidOfRevolutionsolid of revolution
    SportObjectssport objects
    SurfaceAreasurface area
    Tetrahedrontetrahedron
    TetrahedronVolumeMeanmean tetrahedron volume
    TriangleAreaCDFCDF of triangle areas
    TriangleAreaMeanmean triangle area
    TriangleAreaPDFPDF of triangle areas
    VariableConstraintsvariable constraints
    VariableDescriptionsvariable descriptions
    Variablesvariables
    VertexCountnumber of vertices
    Verticesvertices
    Volumevolume

Details

  • "Solid" entities include named mathematical solids, i.e. closed, filled, three-dimensional regions.
  • "Solid" entity classes include mathematical classifications based on geometric and topological characteristics.
  • Some properties are available for the "Solid" entity type as a whole and can be given using the form EntityValue["Solid",property]. Such properties include:
  • "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["Solid",property,annotation]:
  • "Source"source information for the property
    "Date"the date associated with the entity-property value (if any)
    "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]:
  • "Qualifiers"the list of possible qualifiers for the property
    "QualifierValues"the list of possible values that can be given to each qualifier
    "DefaultQualifierValues"the list of default values for the property's qualifiers
    "Description"a brief textual description of the property
    "Definition"a detailed textual definition of the property
    "PhysicalQuantity"the physical quantity associated with the entity-property value
    "Unit"the unit associated with the entity-property value
  • A qualifier value of Automatic indicates that an applicable format of values can be used; e.g. for the "Date" qualifier, this includes a proper date or date span.

Examples

Basic Examples  (4)

Use for entity discovery:

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Find a property value for an entity:

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Retrieve a dataset of all available properties for an entity:

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Retrieve all tabulated convex solids of revolution:

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