There are some people who believe that checkerboard tile floors should be laid on the diagonal. For others, straight up and down is perfectly fine. I suppose it's an aesthetic preference, though I'm sure one style is more classically and architecturally correct than the other. If my memory serves me correctly, and lately it hasn't been, Dorothy Draper had a very definite opinion on the matter. I believe that she was an advocate of the diagonal method, though her projects show that she…