Mathematical Developments in 1993

Mathematical discoveries in 1993 included a new polyhedron that will fill space only aperiodically, an algorithm for envy-free fair division of resources, a breakthrough in the combinatorial designs known as Latin rectangles, and yet another new Mersenne prime. Nonetheless, all other events in the mathematical world were eclipsed by the unexpected announcement that the most famous unsolved problem in pure mathematics, FermaYs last theorem, had yielded at last. At the end of 1993, however, a gap was found in the proof of this result; but Wiles claimed in October 1994 to have overcome the gap.