pyramid takes the polyhedron P with ambient dimension n and embeds it into QQ^(n+1) on height 0 with respect to the new last variable. Then it computes the convex hull of the embedded P and the point (0,...,0,1).
i1 : P = hypercube 2 o1 = {ambient dimension => 2 } dimension of lineality space => 0 dimension of polyhedron => 2 number of facets => 4 number of rays => 0 number of vertices => 4 o1 : Polyhedron |
i2 : Q = pyramid P o2 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 5 number of rays => 0 number of vertices => 5 o2 : Polyhedron |
i3 : vertices Q o3 = | -1 1 -1 1 0 | | -1 -1 1 1 0 | | 0 0 0 0 1 | 3 5 o3 : Matrix QQ <--- QQ |
The object pyramid is a method function.