• Corpus ID: 54496007

The Monge Point and the 3(n+1) Point Sphere of an n-Simplex

  title={The Monge Point and the 3(n+1) Point Sphere of an n-Simplex},
  author={Małgorzata Buba-Brzozowa},
The hyperplanes through the centroids of the (ni 2)-dimensional faces of an n-simplex and perpendicular to the respectively opposite 1-dimensional edges have a point in common. As a consequence, we deflne an analogue of the nine-point circle for any n-simplex. 

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The n-sphere of the 3(n+1) points

  • Proc. of Graphica
  • 2001