b, a Boolean value, true if P is normal in the ambient lattice
Description
isNormal can only be applied to polytopes, i.e. compact polyhedra. It embeds the polytope on height 1 in a space of dimension plus 1 and takes the Cone over this polytope. Then it checks if all elements of the Hilbert basis lie in height 1.
i1 : P = convexHull transpose matrix {{0,0,0},{1,0,0},{0,1,0},{1,1,3}}
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 4
number of rays => 0
number of vertices => 4
o1 : Polyhedron