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Voronoi with thickness

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Hello everyone,


I'm trying to add a layer of fracture in between of two voronoi cell.

The goal is to have something like this but the red pieces as one object:



If I do a 2 representation it would be something like this

In between pieces black thickness would be my constant thickness piece of geo that I can re-fracture




Finally, I would like to apply this a complex mesh, with boolean detailed first fracture:



Does anyone have an idea of how to do this in a clean way? 

Thank you 



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