Notable filled regions in the plane.

Entity["Lamina",name] or

represents an entity of type "Lamina".

[prop]

gives the value of a specified property.

[{propi,}]

gives the value of a list of properties.

EntityClass["Lamina",{propispeci,}]

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

Sample Entities

Sample Entity Classes

Properties

  • AlternateNamesalternate names
    AngleCountnumber of angles
    Apothemapothem
    Areaarea
    AreaMomentOfInertiaTensorarea moment of inertia tensor
    AreaMomentOfInertiaXXarea moment of inertia about the
    AreaMomentOfInertiaXYproduct moment of inertia
    AreaMomentOfInertiaYYarea moment of inertia about the
    AreaMomentOfInertiaZZpolar moment of inertia
    AssociatedEntitiesassociated entities
    AssociatedPeopleassociated people
    Boundaryboundary
    BoundaryCurveboundary curve
    BoundaryDiagramboundary diagram
    BoundaryMeshRegionboundary mesh representation
    BoundingBoxbounding box corners
    Centroidcentroid
    Circumcentercircumcenter
    CircumcenterOfMasscircumcenter of mass
    Circumcirclecircumcircle
    Circumdiametercircumdiameter
    Circumradiuscircumradius
    Classesclasses
    ConvexityCoefficientconvexity coefficient
    DiagonalCountnumber of diagonals
    DiagonalizedAreaMomentOfInertiaTensordiagonalized area moment of inertia tensor
    DiagonalLengthsdiagonal lengths
    Diagramdiagram
    EdgeCountnumber of edges
    EdgeLengthsside lengths
    EntityClassesentity classes
    GeneralizedDiametergeneralized diameter
    Graphicsgraphics
    Heightheight
    HoleCountnumber of holes
    Hypotenusehypotenuse
    Imageimage
    ImplicitRegionimplicit region
    Incenterincenter
    Incircleincircle
    Inequalitiesdefining inequalities
    Inradiusinradius
    InteriorAnglesinterior angles
    InteriorAngleSuminterior angle sum
    LineOfSymmetryCountnumber of lines of symmetry
    LineSegmentLengthCDFCDF of lengths
    LineSegmentLengthMeanmean line segment length
    LineSegmentLengthPDFPDF of lengths
    MajorAxismajor axis
    MeshRegionmesh representation
    MinorAxisminor axis
    Namename
    Parametersparameters
    ParametricRegionparametric region
    Perimeterperimeter
    RadiiOfGyrationradii of gyration about coordinate axes
    RadiusOfGyrationXradius of gyration about the
    RadiusOfGyrationYradius of gyration about the
    RealWorldExamplesreal world examples
    Regionregion
    RelatedWolframLanguageSymbolsrelated Wolfram Language symbols
    RightAngleCountnumber of right angles
    Sagittasagitta
    SectionModulisection moduli
    SectionModulusXsection modulus about the
    SectionModulusYsection modulus about the
    SemimajorAxissemimajor axis
    SemiminorAxissemiminor axis
    SportObjectssport objects
    TorsionalRigidityMultipliertorsional rigidity multiplier for solid bar
    TriangleAreaCDFCDF of triangle areas
    TriangleAreaMeanmean triangle area
    TriangleAreaPDFPDF of triangle areas
    TriangulationCountnumber of triangulations
    VariableConstraintsvariable constraints
    VariableDescriptionsvariable descriptions
    Variablesvariables
    VertexCountnumber of vertices
    Verticesvertices

Details

  • "Lamina" entities include common named planar regions as well as a number of special shapes from popular culture.
  • "Lamina" entity classes include mathematical classifications based on convexity, boundary shape and number of sides.
  • Some properties are available for the "Lamina" entity type as a whole and can be given using the form EntityValue["Lamina",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["Lamina",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 polygonal laminae with 4 edges:

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View schematic diagrams:

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