ABSTRACT
Domino tiling is a little fun for those of us who love mathematics and
puzzles, but perhaps it is also meaningful for Japanese people in their
daily life because of the shape of tatami carpeting. T h e usual goal
in Domino tiling problems is to fill a figure with dominoes, i.e., 1 x 2
rectangles. Combinatorists will often ask, "How many ways can the
shape be tiled?" Here, we reverse the question and say, "Find shapes
which have exactly 2000 tiling solutions."
