  We study the model of close-packed dimers on planar lattices belonging to the
family of modified rectangular (MR) fractals, whose members are enumerated by
an integer $p\geq 2$, as well as on the non-planar 4-simplex fractal lattice.
By applying an exact recurrence enumeration method, we determine the asymptotic
forms for numbers of dimer coverings, and numerically calculate entropies per
dimer in the thermodynamic limit, for a sequence of MR lattices with $2\leq
p\leq8$ and for 4-simplex fractal. We find that the entropy per dimer on MR
fractals is increasing function of the scaling parameter $p$, and for every
considered $p$ it is smaller than the entropy per dimer of the same model on
$4$-simplex lattice. Obtained results are discussed and compared with the
results obtained previously on some translationally invariant and fractal
lattices.
