  For arbitrary integer n, we describe a large class of right-angled Coxeter
systems for which the visual baundary (of the corresponding Coxeter-Davis
complex) is homeomorphic to the n-dimensional Sierpi\'nski compactum. We also
provide a necessary and sufficient condition for a planar simplicial complex L
under which the right-angled Coxeter system whose nerve is L has the visual
boundary homeomorphic to the Sierpi\'nski curve.
