  We consider the spin 1/2 Heisenberg antiferromagnet on a two dimensional
quasiperiodic tiling. The T=0 state is long range ordered, with an
inhomogeneous distribution of the staggered moment. An approximate real space
renormalization scheme first developed for the square lattice is generalized
and used to obtain information on the ground state energy as well as the
distribution of local correlations in the quasicrystal.
