Problem
1. Is the visibility theory of equilateral plane polygons (i.e.
ones in which all sides of the polygon have the same length) identical
to the theory of general plane polygons? In other words are there
theorems that are true for plane equilateral polygons which do
not hold for general polygons?
Extensions
1. Extend your work to the situation where one has polygons with
"holes," that is, consider the case of having equilateral
polygons with equilateral holes.
References
1. O'Rourke, J., Art Gallery Theorems and Algorithms, Oxford University
Press, New York, 1987.
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