Talk:Barycentric subdivision

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Mathematics rating: Start Class Mid Priority  Field: Discrete mathematics

[edit] Replaced bad contents

The contents of this page was replaced because it was all wrong:

  1. 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.
  2. 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.
  3. 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)