Barycenter of a simplex


If σ={v 0,,v q}K q\sigma = \{ v_0, \ldots, v_q\} \in K_q, the set of qq-simplices of a simplicial complex, KK, then its barycentre, b(σ)b(\sigma), is the point

b(σ)= 0iq1q+1v i|K|.b(\sigma) = \sum_{0\leq i \leq q}\frac{1}{q + 1} v_i \in |K|.

For the use of barycenters in the barycentric subdivision, see classical triangulation or

Last revised on December 1, 2010 at 21:00:49. See the history of this page for a list of all contributions to it.