2008 iTest Problems/Problem 88
A six dimensional "cube" (a -cube) has vertices at the points . This -cube has edges and edges. This -cube gets cut into smaller congruent "unit" -cubes that are kept together in the tightly packaged form of the original -cube so that the smaller -cubes share square faces with neighbors ( -D square face shared by unit -cube neighbors). How many -D squares are faces of one or more of the unit -cubes?