The dissection of a polygon into nearly equilateral triangles |
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Authors: | Joseph L Gerver |
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Institution: | (1) Department of Mathematics, Rutgers University, 08102 Camden, NJ, U.S.A. |
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Abstract: | Every polygon can be dissected into acute triangles. In this paper we prove that every polygon, such that the interior angles are at least /5, can be dissected into triangles with interior angles all less than or equal to 2/5. We find necessary conditions on the interior angles of the polygon in order to obtain a dissection into triangles with interior angles all (where /3<<2/5). The conjecture can be stated that these conditions are also sufficient. |
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