A
cube? Man... are you behind the times or
what?
Earth is a non-manifold 5-dimensional hyper-parabolic pentagonal brane with variable (but always n+/-1) topology and a
nasty habit of developing trans-dimensional flaws anyplace pentagons and pentagrams intersect with stylized goat faces... or wherever else it feels like it.
Just ask Judge Crater or Amelia Earhart or any of the
millions of folks who turned the
wrong way down a one-way cosmic string...