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The dissection of a polygon into nearly equilateral triangles

✍ Scribed by Joseph L. Gerver

Publisher: Springer
Year: 1984
Tongue: English
Weight: 587 KB
Volume: 16
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147425

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✦ Synopsis

Every polygon can be dissected into acute triangles. In this paper we prove that every polygon, such that the interior angles are at least n/5, can be dissected into triangles with interior angles all less than or equal to 2n/5. We find necessary conditions on the interior angles of the polygon in order to obtain a dissection into triangles with interior angles all ~< c~ (where n/3 < ~ < 2n/5). The conjecture can be stated that these conditions are also sufficient.

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