SplitIntoSimplices - Maple Help
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PolyhedralSets

  

SplitIntoSimplices

  

split a polyhedral set into simplices

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

SplitIntoSimplices(polyset)

SplitIntoSimplices(polyset, point)

Parameters

polyset

-

polyhedral set

point

-

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

Description

• 

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.

Examples

Splitting the cube into simplices gives a list of tetrahedrons.

(1)

The volume of the cube is equal to the sum of the volume of the simplices.

(2)

(3)

(4)

Plot the simplices with transparency to see the internal structure of the sets.

Compatibility

• 

The PolyhedralSets[SplitIntoSimplices] command was introduced in Maple 2015.

• 

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

See Also

PolyhedralSets

PolyhedralSets[PolyhedralSet]

 


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