Produces the d-dimensional hypercube [-1,1]d. If provided with a scaling factor s, the hypercube [-s,s]d is returned. Alternatively one can specify the edge directly as [a,b], then the hypercube [a,b]d is returned
i1 : P = hypercube 3 o1 = P o1 : Polyhedron |
i2 : vertices P o2 = | -1 1 -1 1 -1 1 -1 1 | | -1 -1 1 1 -1 -1 1 1 | | -1 -1 -1 -1 1 1 1 1 | 3 8 o2 : Matrix QQ <--- QQ |
i3 : P = hypercube(3,2) o3 = P o3 : Polyhedron |
i4 : vertices P o4 = | -2 2 -2 2 -2 2 -2 2 | | -2 -2 2 2 -2 -2 2 2 | | -2 -2 -2 -2 2 2 2 2 | 3 8 o4 : Matrix QQ <--- QQ |
i5 : P = hypercube(3,0,1) o5 = P o5 : Polyhedron |
i6 : vertices P o6 = | 0 1 0 1 0 1 0 1 | | 0 0 1 1 0 0 1 1 | | 0 0 0 0 1 1 1 1 | 3 8 o6 : Matrix QQ <--- QQ |