xyz Alcalientre for each pair of vertices there are only 4 distinct vertices with 2 distinct x values among all the vertices... so by definition all 4 points must be coplanar Are you sure about that? Check for coplanarity explicitly by using the cross product.
Alcalientre xyz I just realized that I was thinking about this wrong, I had the wrong intuition and guess I had to ask the stupid question to realize my mistake. Thanks for the answer.