Tessellation of a Triangle by Repeated Barycentric Subdivision

  title={Tessellation of a Triangle by Repeated Barycentric Subdivision},
  author={BOB HOUGH},
  • Published 2009
Under iterated barycentric subdivision of a triangle, most triangles become flat in the sense that the largest angle tends to π. By analyzing a random walk on SL2(R) we give asymptotics with explicit constants for the number of flat triangles and the degree of flatness at a given stage of subdivision. In particular, we prove analytical bounds for the upper… CONTINUE READING