The Higman-Sims design is an incidence structure of 176 points and
176 blocks of cardinality 50 with every two blocks meeting in 14
points. The automorphism group of this design is the Higman-Sims
simple group. We demonstrate that the point set and the block set
of the Higman-Sims design can be partitioned into subsets X1,
X2,...,X11 and B1, B2,...,B11, respectively, so
that the substructures (Xi, Bi), i = 1, 2,...,11, are
isomorphic symmetric (16, 6, 2)-designs.