File talk:RepeatedBarycentricSubdivision.png

Latest comment: 9 years ago by Jan.philipp.litza

While this picture is certainly nice to look at, it isn't a barycentric subdivision, because the software used to create it "...changes the placement of vertices in each shape." Thus, it even violates one of the most important properties of the barycentric subdivision, stated in the article: "An important feature of BCS is the fact that the maximal diameter of an n − dimensional simplex shrinks at least by the factor n/(n + 1)." Jan-Philipp Litza (talk) 10:23, 8 December 2014 (UTC)Reply