chapter  8
Breaking It Up: Triangles
Pages 11

Triangles are as old as geometry. They were of interest to the ancient Greeks, and in fact the roots of trigonometry can be found in their study. Triangles also become an indispensable tool in computer graphics and advanced disciplines such as finite element analysis (FEM). In graphics, objects are broken down into triangular facets for display purposes; in FEM, 2D shapes are broken down into triangles in order to facilitate complicated algorithms. Figure 8.1 illustrates a refinement procedure based on stress and strain calculations. 2D FEM: Refinement of a triangulation based on stress and strain calculations. (Source: J. shewchuk, http://www.cs.cmu.edu/~quake/triangle.html)