dissecting a hypercube to simplexes

Question

I read that an n-cube (hypercube) can be dissected into $n!$ n-simplexes. In case of 2D, I can see that a square can be dissected into two 2-simplexes (traingles). Incase of cube, how we can fit six, tetrahedron inside it ?

Answer 1

Please see also this YouTube video: https://www.youtube.com/watch?v=ffnVCEAcOns