polyhedralComplex(Matrix,Matrix,Matrix,List) -- Constructing a polyhedral complex.

Synopsis

Usage:
PC = polyhedralComplex(V,R,N,L)
Function: polyhedralComplex
Inputs:
- V, a matrix, Matrix containing the vertices as columns
- R, a matrix, Matrix containing rays as columns.
- N, a matrix, Matrix containing generators of the lineality space as columns
- L, a list, List contiaining lists with indices of the vertices of the maximal cells.
Outputs:
- PC, an object of class PolyhedralComplex

Description

Basic constructor for polyhedral complices that takes a matrix containing the vertices of the polyhedral complex and a list of lists with the indices of the vertices and rays in the maximal cells. Optionally one may provide a lineality space.

This constructor does not check well-definedness, see isWellDefined.

i1 : M = matrix {{0,1,2}}

o1 = | 0 1 2 |

              1        3
o1 : Matrix ZZ  <--- ZZ

i2 : L = {{0,1},{1,2}}

o2 = {{0, 1}, {1, 2}}

o2 : List

i3 : PC = polyhedralComplex(M,L)

o3 = PC

o3 : PolyhedralComplex