Prove that the only values of n for which the plane can be filled with congruent regular
Chapter 61, Problem 61.7(choose chapter or problem)
Prove that the only values of n for which the plane can be filled with congruent regular n-gonshaving no overlap except at their edges are n = 3, 4, and 6. [Each of the interior angles ofa regular n-gon has measure (n - 2)rr / n. If r such polygons have a vertex in common, then[r(n - 2)rr / n] = 2rr. For which integral values of n and r is this possible?]
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