We consider higher dimensional universes in which the universe is constructed from four-dimensional subuniverses. Independent parameters are introduced for the subuniverses. We then consider a small coupling between the subuniverses. Emphasis is placed on the eight-dimensional case. We find that the trends from the computer are in line with the natural boundary conditionsΓ jk i →0 being satisfied. We do not find any significant improvement resulting as a consequence of the higher dimensions over and beyond the four-dimensional work we have done in previous papers.