faces(SimplicialComplex) -- Compute all faces of a simplicial complex.

Synopsis

Usage:
faces(C)
Function: faces
Inputs:
- C, a simplicial complex
Optional inputs:
- useFaceClass => ..., -- Option to return faces in the class Face
Outputs:
- a mutable hash table

Description

Return a list of lists of the faces of a simplicial complex.

i1 : K=QQ;

i2 : R=K[x_1..x_5];

i3 : C=simplicialComplex monomialIdeal (x_1*x_2,x_3*x_4*x_5)

o3 = | x_2x_4x_5 x_1x_4x_5 x_2x_3x_5 x_1x_3x_5 x_2x_3x_4 x_1x_3x_4 |

o3 : SimplicialComplex

i4 : fc=faces(C,useFaceClass=>true)

o4 = MutableHashTable{...4...}

o4 : MutableHashTable

i5 : fc#2

o5 = {x  x  x  , x  x  x  , x  x  x  , x  x  x  , x  x  x  , x  x  x  }
       1  3  4    1  3  5    1  4  5    2  3  4    2  3  5    2  4  5

o5 : List