In five and higher dimensions, there are 3 regular polytopes, the hypercube, simplex and cross-polytope. They are generalisations of the three-dimensional cube, tetrahedron and octahedron, respectively.
In higher dimensions, there are 3 regular polytopes: the hypercube, simplex, and cross-polytope. They are generalizations of the three-dimensional cube, tetrahedron, and octahedron, respectively.