PolyhedralSets
Faces
get the faces of a polyhedral set
ID
get the identifier of a polyhedral set
Calling Sequence
Parameters
Description
Examples
Compatibility
Faces(polyset)
Faces(polyset, dimension = d)
Faces(polyset, faceid = id)
ID(polyset)
polyset
-
polyhedral set
dimension
(optional) integer greater than or equal to , dimension of faces to be returned, defaults to one less than the dimension of polyset to return its facets
faceid
(optional) integer or a set or list of integers indexing faces of polyset
The calling sequences Faces(polyset) and Faces(polyset, dimension = d) return a list of polyhedral sets that are -faces of polyset. Faces(polyset) uses a default value of dimension = Dimension(polyset) - 1, returning the facets of polyset. If there are no faces of dimension d (e.g. asking for vertices of a half-space), an empty list is returned.
The PolyhedralSets[Vertices] (or, PolyhedralSets[Vertexes]) command is shorthand for Faces(polyset, dimension = 0). Similarly, PolyhedralSets[Edges] is shorthand for Faces(polyset, dimension = 1), and PolyhedralSets[Facets] is shorthand for Faces(polyset).
A particular face can be retrieved via Faces(polyset, faceid = id). The identification number id corresponds to those displayed on the graph returned by PolyhedralSets[Graph].
The ID number of a given set can alternatively by obtained with the ID command. This returns an integer that identifies a set relative to its faces. Two unrelated polyhedral sets can have the same ID number, but the faces of a given polyhedral set will always have unique ID numbers.
Get the facets of a tetrahedron
Plot the faces individually (which will give them each a different color).
The edges of the 5 dimensional simplex are:
ID numbers are used to identify the faces of a given set, but different unrelated sets may have the same ID number.
The faces of a set form a universe, within which the ID numbers uniquely identify members of the graph of the set.
The PolyhedralSets[Faces] and PolyhedralSets[ID] commands were introduced in Maple 2015.
For more information on Maple 2015 changes, see Updates in Maple 2015.
See Also
PolyhedralSets[VerticesAndRays]
PolyhedralSets[Dimension]
PolyhedralSets[Graph]
GraphTheory
GraphTheory[DrawGraph]
PolyhedralSets[PolyhedralSet]
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