  It is known that the region $V(s)$ of a simple polygon $P$, directly visible
(illuminable) from an internal point $s$, is simply connected. Aronov et al.
\cite{addpp981} established that the region $V_1(s)$ of a simple polygon
visible from an internal point $s$ due to at most one diffuse reflection on the
boundary of the polygon $P$, is also simply connected. In this paper we
establish that the region $V_2(s)$, visible from $s$ due to at most two diffuse
reflections may be multiply connected; we demonstrate the construction of an
$n$-sided simple polygon with a point $s$ inside it so that and the region of
$P$ visible from $s$ after at most two diffuse reflections is multiple
connected.

Computational Geometry;Discrete Mathematics;Graphics