  We study statistical properties of energy spectra of a tight-binding model on
the two-dimensional quasiperiodic Ammann-Beenker tiling. Taking into account
the symmetries of finite approximants, we find that the underlying universal
level-spacing distribution is given by the Gaussian orthogonal random matrix
ensemble, and thus differs from the critical level-spacing distribution
observed at the metal-insulator transition in the three-dimensional Anderson
model of disorder. Our data allow us to see the difference to the Wigner
surmise.
