split a polyhedral set into simplices
polyhedral set representing a vertex, list of rationals, Vector or list/set of equations of the form coordinate = value; point where polyset will be split
This command splits the polyhedral set polyset into simplices, returning a list of polyhedral sets whose union is polyset. Only bounded polyhedral sets, that is to say polytopes, can be divided into simplices.
If point is provided, it will be a vertex of all the simplices when polyset is split. If point is omitted, an arbitrary vertex of polyset is chosen for the splitting point.
Splitting the cube into simplices gives a list of tetrahedrons.
The volume of the cube is equal to the sum of the volume of the simplices.
Plot the simplices with transparency to see the internal structure of the sets.
The PolyhedralSets[SplitIntoSimplices] command was introduced in Maple 2015.
For more information on Maple 2015 changes, see Updates in Maple 2015.
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