The class of faces of simplicial complexes on the variables of a polynomial ring. The faces are lists of variables of the PolynomialRing
The maximal faces can be obtained from a simplicial Complex by the method facets
i1 : K=QQ; |
i2 : R=K[x_0..x_4]; |
i3 : face {x_0,x_1} o3 = x x 0 1 o3 : face with 2 vertices |
i4 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0); o4 : Ideal of R |
i5 : D =idealToComplex I o5 = {x x , x x , x x , x x , x x } 2 4 0 3 0 2 1 3 1 4 o5 : complex with 5 facets on the vertices x x x x x 0 1 2 3 4 |
i6 : fc=facets D o6 = {x x , x x , x x , x x , x x } 2 4 0 3 0 2 1 3 1 4 o6 : List |
i7 : fc#0 o7 = x x 2 4 o7 : face with 2 vertices |