Notable space curves.

Entity["SpaceCurve",name] or

represents an entity of type "SpaceCurve".

[prop]

gives the value of a specified property.

[{propi,}]

gives the value of a list of properties.

EntityClass["SpaceCurve",{propispeci,}]

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

Sample Entities

Sample Entity Classes

Properties

  • AlternateNamesalternate names
    ArcLengtharc length
    ArcLengthFunctionarc length function
    AssociatedPeopleassociated people
    BinormalVectorbinormal vector
    Classesclasses
    Curvaturecurvature
    EntityClassesentity classes
    Graphics3D3D graphics
    Imageimage
    ImplicitEquationsimplicit equations
    Namename
    NaturalParametricEquationsnatural parametric equations
    NormalVectornormal vector
    Parametersparameters
    ParametricEquationsparametric equations
    Periodperiod
    TangentVectortangent vector
    Torsiontorsion
    TotalCurvaturetotal curvature
    VariableConstraintsvariable constraints
    VariableDescriptionsvariable descriptions
    Variablesvariables
    VectorLengthvector length

Details

  • "SpaceCurve" entities include notable mathematical curves embedded in Euclidean 3-space.
  • "SpaceCurve" entity classes include mathematical classifications, such as "Parametric" and "Spiral".
  • Some properties are available for the "SpaceCurve" entity type as a whole and can be given using the form EntityValue["SpaceCurve",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["SpaceCurve",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 tabulated spiral space curves:

Visualize:

Introduced in 2019
 (12.0)