Overview of the PolyhedralSets Package - Maple Programming Help

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Overview of the PolyhedralSets Package

 

Description

List of PolyhedralSets Package Commands

Accessing the PolyhedralSets Package Commands

Compatibility

Description

• 

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.

List of PolyhedralSets Package Commands

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

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

 

Accessing the PolyhedralSets Package Commands

• 

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.  For example, if p is a polyhedral set you can use either PolyhedralSets[IsBounded](p) or with(PolyhedralSets); then IsBounded(p).

• 

Because the underlying implementation of the PolyhedralSets package is a module, it is possible to use the form PolyhedralSets:-command to access a command from the package. For more information, see Module Members.

Compatibility

• 

The PolyhedralSets package was introduced in Maple 2015.

• 

For more information on Maple 2015 changes, see Updates in Maple 2015.

See Also

RegularChains[LinearSolve]

geometry

geom3d

simplex