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Triangulated shell with thickness

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@anikolo wrote:

Ok here’s the deal:
I want to create a freeform shell from a material with a thickness (e.g. polyurethane triangular cells). I’ve found many plugins that can create tesselations with planar cells on freeform surfaces(panelling tools, lunchbox, kangaroo) but so far I haven’t found a way to make a tesselation that meets the demands to create it from a fixed thickness material. I am willing to put in the effort to study in order to achieve the result that I want but
a) I don’t even know if it is mathematically possible (I would bet yes)
b) which tools I should invest in mastering.
I am explaining my objective more thoroughly in the following image.

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