A lower bound on the angles of triangles constructed by bisecting the longest side
Authors: Ivo G. Rosenberg and Frank Stenger
Journal: Math. Comp. 29 (1975), 390-395
MSC: Primary 50B15; Secondary 65M10
MathSciNet review: 0375068
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Abstract: Let be a triangle with vertices at and . The process of "bisecting " is defined as follows. We first locate the longest edge, of where , set , and then define two new triangles, and .
Let be a given triangle, with smallest interior angle . Bisect into two new triangles, . Next, bisect each triangle , to form four new triangles , and so on, to form an infinite sequence T of triangles. It is shown that if , and is any interior angle of , then .
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Keywords: Triangulation, bisection, finite element method
Article copyright: © Copyright 1975 American Mathematical Society