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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

  • AlternateNames alternate names
    AssociatedPeople associated people
    Boundary boundary
    BoundaryMeshRegion boundary mesh representation
    BoundarySurface boundary surface
    BoundingBox bounding box corners
    Centroid centroid
    Circumcenter circumcenter
    Circumdiameter circumdiameter
    Circumradius circumradius
    Circumsphere circumsphere
    Classes classes
    Concave concave
    ConstantWidth constant width
    Convex convex
    ConvexityCoefficient convexity coefficient
    CoordinateBounds coordinate bounds
    CrossSections cross sections
    EntityClasses entity classes
    EntityTypeList entity type list
    FaceCount number of faces
    GeneralizedDiameter generalized diameter
    Graphics3D 3D graphics
    Height height
    Hexahedron hexahedron
    Image image
    ImplicitRegion implicit region
    Incenter incenter
    Inequalities defining inequalities
    InertiaTensor moment of inertia tensor
    Inradius inradius
    Insphere insphere
    LateralSurfaceArea lateral surface area
    LineSegmentLengthCDF CDF of lengths
    LineSegmentLengthMean mean line segment length
    LineSegmentLengthPDF PDF of lengths
    MeanCylindricalRadius mean cylindrical radius
    MeanSphericalRadius mean spherical radius
    MeanSquareCylindricalRadius mean square cylindrical radius
    MeanSquareSphericalRadius mean square spherical radius
    MeshRegion mesh representation
    Name name
    Parallelepiped parallelepiped
    Parameters parameters
    ParametricRegion parametric region
    Polyhedron polyhedron
    RealWorldExamples real world examples
    Region region
    RegularPolyhedron regular polyhedron
    RelatedWolframLanguageSymbols related Wolfram Language symbols
    SlantHeight slant height
    SolidOfRevolution solid of revolution
    SpecialCases special cases
    SportObjects sport objects
    SurfaceArea surface area
    Tetrahedron tetrahedron
    TetrahedronVolumeMean mean tetrahedron volume
    TriangleAreaCDF CDF of triangle areas
    TriangleAreaMean mean triangle area
    TriangleAreaPDF PDF of triangle areas
    Ungula ungula
    VariableConstraints variable constraints
    VariableDescriptions variable descriptions
    Variables variables
    VertexCount number of vertices
    Vertices vertices
    Volume volume

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]:
  • "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]:
  • "Description" a brief textual description of the property

Examples

Basic Examples  (4)

Use for entity discovery:

Find a property value for an entity:

Retrieve a dataset of all available properties for an entity:

Retrieve all tabulated convex solids of revolution:

See Also

Entity Types: Polyhedron   Lamina   Surface   SpaceCurve   PlaneCurve

Interpreter Types: Solid   ComputedSolid

History

Introduced in 2019 (12.0)

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