|WikiProject Mathematics||(Rated Start-class, Mid-importance)|
Replaced bad contents
The contents of this page was replaced because it was all wrong:
- The barycentric subdivision splits an n-dimensional simplex into (n+1)! pieces, not n+1 (and certainly not n). The scheme that was described here is one of many subdivison schemes used in geometric modeling, but it is not "the" BCS.
- The section about the diameters of the BCS parts tending to zero may be correct for the true BCS (I will check it later), but is obviously wrong for the "false BCS" described -- which preserves the original edges, and hence the maximum simplex diameter.
- The really essential section should be the BCS of convex polytopes, but the one given was too skimpy and possibly wrong.
Jorge Stolfi 01:00, 6 Jun 2004 (UTC)
Note that the barycentric subdivision splits an n-dimensional simplex into (n+1)! n-simplexes, not including the k-faces. — Preceding unsigned comment added by 18.104.22.168 (talk) 09:32, 1 May 2012 (UTC)
The text of the article says that the sub-triangles should have one vertex at the midpoint of an edge of the original triangle. The accompanying illustration seems to show the barycenter connected by perpendiculars to the sides of the triangle. The picture is really pretty, but it should match the definition, or have some explanatory text added to show that this is a slightly different version of BCS. Joshuazucker (talk) 00:20, 16 September 2014 (UTC)