  From the quantum mechanical point of view, the electronic characteristics of
quasicrystals are determined by the nature of their eigenstates. A practicable
way to obtain information about the properties of these wave functions is
studying the scaling behavior of the generalized inverse participation numbers
$Z_q \sim N^{-D_q(q-1)}$ with the system size $N$. In particular, we
investigate $d$-dimensional quasiperiodic models based on different
metallic-mean quasiperiodic sequences. We obtain the eigenstates of the
one-dimensional metallic-mean chains by numerical calculations for a
tight-binding model. Higher dimensional solutions of the associated generalized
labyrinth tiling are then constructed by a product approach from the
one-dimensional solutions. Numerical results suggest that the relation
$D_q^{d\mathrm{d}} = d D_q^\mathrm{1d}$ holds for these models. Using the
product structure of the labyrinth tiling we prove that this relation is always
satisfied for the silver-mean model and that the scaling exponents approach
this relation for large system sizes also for the other metallic-mean systems.
