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From: Jimmy on 4 Mar 2006 02:49
Hi! Can mathematica or qhull deal with 3D voronoi tesselation under
periodic boundary condition? For example, there are 1000 points in a
cube, and I want to add periodic boundary condition to all three
direction. Any help is appreciated!

From: Antti Penttilä on 6 Mar 2006 05:10
Jimmy wrote:
> Hi! Can mathematica or qhull deal with 3D voronoi tesselation under
> periodic boundary condition? For example, there are 1000 points in a
> cube, and I want to add periodic boundary condition to all three
> direction. Any help is appreciated!
>

Hi,

Mathematica can't handle 3D voronoi at all, and I think that qhull
doesn't have an option for periodicy. You might consider doing it
manually: surround the cube with copies of itself and compute the
voronoi tesselation. Then delete the objects where none of the vertices
is in the original cube.

Regards,
Antti

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