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Polyhedra :: isNormal(Polyhedron)

isNormal(Polyhedron) -- checks if a polytope is normal in the ambient lattice



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 = P

o1 : Polyhedron
i2 : isNormal P

o2 = false