  This paper discusses a problem that consists of $n$ "lighthouses" which are
circles with radius 1, placed around a common center, equidistant at $n$ units
away from the placement center. Consecutive lighthouses are separated by the
same angle: $360^\circ/n$ which we denote as $\alpha$. Each lighthouse
"illuminates" facing towards the placement center with the same angle $\alpha$,
also called "Illumination Angle" in this case. As for the light source itself,
there are two variations: a single point light source at the center of each
lighthouse and point light sources on the arc seen by the illumination angle
for each lighthouse. The problem: what is the total dark (not illuminated) area
for a given number of lighthouses, and as the number of lighthouses approach
infinity? We show that by definition of the problem, neighbor lighthouses do
not overlap or be tangent to each other. We propose a solution for the center
point light source case and discuss several small cases of $n$ for the arc
light source case.
