How many tetrahedra are in origin box (3D) after performing Delaunay Triangulation in periodic system

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My procedure is the following:
  • first I created x, y, z matrix for N points randomly distributed within 0 to L box size
  • then I translated all coordinates to get 26 copies of it
  • next I performed 3D delaynay triangulation (note I have matlab R2012b).
As a result I got list of tetrahedra, which is fine, but now I need to extract only those tetrahedra which have at least one of vertices in the box of origin. I think that I did that but I would like to check if the number that I got for tetrahedra or edges correspond to the expected value. For example, for periodic system in 2D one can use the Euler (or Euler-Poincare) characterist formula for torus: Vertics - Edges + Faces = 0 . I am grateful for any suggestions how to calculate this.

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