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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. 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 thearXiv:cs/0306010v1 fatcat:fe6pnfvnazh27fhf5gx35oevkq