ThreeSpace(R)

space.spad line 278 [edit on github]

• R : Ring

The domain ThreeSpace is used for creating three dimensional objects using functions for defining points, curves, polygons, constructs and the subspaces containing them.

= : (%, %) -> Boolean

from BasicType

check : % -> %

from ThreeSpaceCategory(R)

closedCurve : (%, List(List(R))) -> %

from ThreeSpaceCategory(R)

closedCurve : (%, List(Point(R))) -> %

from ThreeSpaceCategory(R)

closedCurve : List(Point(R)) -> %

from ThreeSpaceCategory(R)

closedCurve : % -> List(Point(R))

from ThreeSpaceCategory(R)

closedCurve? : % -> Boolean

from ThreeSpaceCategory(R)

coerce : % -> OutputForm

from ThreeSpaceCategory(R)

components : % -> List(%)

from ThreeSpaceCategory(R)

composite : List(%) -> %

from ThreeSpaceCategory(R)

composites : % -> List(%)

from ThreeSpaceCategory(R)

copy : % -> %

from ThreeSpaceCategory(R)

create3Space : () -> %

from ThreeSpaceCategory(R)

create3Space : SubSpace(3, R) -> %

from ThreeSpaceCategory(R)

curve : (%, List(List(R))) -> %

from ThreeSpaceCategory(R)

curve : (%, List(Point(R))) -> %

from ThreeSpaceCategory(R)

curve : List(Point(R)) -> %

from ThreeSpaceCategory(R)

curve : % -> List(Point(R))

from ThreeSpaceCategory(R)

curve? : % -> Boolean

from ThreeSpaceCategory(R)

enterPointData : (%, List(Point(R))) -> NonNegativeInteger

from ThreeSpaceCategory(R)

latex : % -> String

from SetCategory

lllip : % -> List(List(List(NonNegativeInteger)))

from ThreeSpaceCategory(R)

lllp : % -> List(List(List(Point(R))))

from ThreeSpaceCategory(R)

llprop : % -> List(List(SubSpaceComponentProperty))

from ThreeSpaceCategory(R)

lp : % -> List(Point(R))

from ThreeSpaceCategory(R)

lprop : % -> List(SubSpaceComponentProperty)

from ThreeSpaceCategory(R)

merge : (%, %) -> %

from ThreeSpaceCategory(R)

merge : List(%) -> %

from ThreeSpaceCategory(R)

mesh : (%, List(List(List(R))), Boolean, Boolean) -> %

from ThreeSpaceCategory(R)

mesh : (%, List(List(List(R))), List(SubSpaceComponentProperty), SubSpaceComponentProperty) -> %

from ThreeSpaceCategory(R)

mesh : (%, List(List(Point(R))), Boolean, Boolean) -> %

from ThreeSpaceCategory(R)

mesh : (%, List(List(Point(R))), List(SubSpaceComponentProperty), SubSpaceComponentProperty) -> %

from ThreeSpaceCategory(R)

mesh : List(List(Point(R))) -> %

from ThreeSpaceCategory(R)

mesh : (List(List(Point(R))), Boolean, Boolean) -> %

from ThreeSpaceCategory(R)

mesh : % -> List(List(Point(R)))

from ThreeSpaceCategory(R)

mesh? : % -> Boolean

from ThreeSpaceCategory(R)

modifyPointData : (%, NonNegativeInteger, Point(R)) -> %

from ThreeSpaceCategory(R)

numberOfComponents : % -> NonNegativeInteger

from ThreeSpaceCategory(R)

numberOfComposites : % -> NonNegativeInteger

from ThreeSpaceCategory(R)

objects : % -> Record(points : NonNegativeInteger, curves : NonNegativeInteger, polygons : NonNegativeInteger, constructs : NonNegativeInteger)

from ThreeSpaceCategory(R)

point : (%, List(R)) -> %

from ThreeSpaceCategory(R)

point : (%, NonNegativeInteger) -> %

from ThreeSpaceCategory(R)

point : (%, Point(R)) -> %

from ThreeSpaceCategory(R)

point : Point(R) -> %

from ThreeSpaceCategory(R)

point : % -> Point(R)

from ThreeSpaceCategory(R)

point? : % -> Boolean

from ThreeSpaceCategory(R)

polygon : (%, List(List(R))) -> %

from ThreeSpaceCategory(R)

polygon : (%, List(Point(R))) -> %

from ThreeSpaceCategory(R)

polygon : List(Point(R)) -> %

from ThreeSpaceCategory(R)

polygon : % -> List(Point(R))

from ThreeSpaceCategory(R)

polygon? : % -> Boolean

from ThreeSpaceCategory(R)

subspace : % -> SubSpace(3, R)

from ThreeSpaceCategory(R)

~= : (%, %) -> Boolean

from BasicType

ThreeSpaceCategory(R)

BasicType

CoercibleTo(OutputForm)

SetCategory