Mathematics Research Projects

Project 11: Visibility of Equilateral Polygons


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?


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.


1. O'Rourke, J., Art Gallery Theorems and Algorithms, Oxford University Press, New York, 1987.

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Joseph Malkevitch
Department of Mathematics and Computing
York College (CUNY)
Jamaica, New York 11451-0001
(Comments and results related to the project above are welcome.)

Some of this work was prepared with partial support from the National Science Foundation (Grant Number: DUE 9555401) to the Long Island Consortium for Interconnected Learning (administered by SUNY at Stony Brook, Alan Tucker, Project Director).