Overview of the PolyhedralSets Package
Description
List of PolyhedralSets Package Commands
List of Commands in the ZPolyhedralSets Subpackage
List of Commands in the ExampleSets Subpackage
Accessing the PolyhedralSets Package Commands
Compatibility
A polyhedral set is a set of points bounded by linear constraints. It can be represented as a system of linear equalities and non-strict inequalities (called its H-Representation) or as sum of the convex combination of a set of vertices and the conical combination of a set of rays (called its V-Representation). This package provides commands for working with polyhedral sets whose relations or vertices and rays have rational coefficients.
Creating polyhedral sets
Standard constructor
PolyhedralSet
Three dimensional example sets
Cube
Octahedron
Tetrahedron
TruncatedTetrahedron
TruncatedOctahedron
Cuboctahedron
Example sets of arbitrary dimension
Hypercube
Simplex
RandomSolid
RandomSet
UniversalSet
EmptySet
Hyperoctant
Visualizing sets
Plot
Graph
Display
PrintLevel
Set operators
intersect
subset
in
Equal
Calculating related sets
Faces
Facets
Vertices
Edges
DualSet
SplitIntoSimplices
AffineHull
CharacteristicCone
ConvexHull
IntegerHull
LinearitySpace
Properties of a Set
Coordinates
Relations
VerticesAndRays
InteriorPoint
Dimension
IsBounded
IsEmpty
IsUniversalSet
IsFace
IsInInterior
LocatePoint
ID
Volume
Area
Length
Transforming Sets
LinearTransformation
Project
Translate
The ZPolyhedralSets subpackage provides a collection of commands for computing with Z-polyhedral sets. A Z-polyhedral set is the intersection of a polyhedral set with an integer lattice.
EnumerateIntegerPoints
IntegerPointDecomposition
IsContained
IsIntegerPointOf
Lattice
PlotIntegerPoints3d
The ExampleSets subpackage provides a collection of examples that can be used with commands in the PolyhedralSets package.
Each command in the PolyhedralSets package can be accessed by using either the long form or the short form of the command name in the command calling sequence.
The long form, PolyhedralSets:-command, is always available. The short form can be used after loading the package.
The PolyhedralSets package was introduced in Maple 2015.
For more information on Maple 2015 changes, see Updates in Maple 2015.
See Also
RegularChains[SemiAlgebraicSetTools][LinearSolve]
geometry
geom3d
simplex
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