divide each edge of mesh

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hi,
is it possible to get as input a polygon mesh (triangular or quad) and as output same mesh but dividing each edge in 3 an group separately the division united by a vertex and the division in the middle? i have tried with carve bu do not work because skip some edge (see image ) thanks to all

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Screenshot 2020-04-16 at 18.49.50.png (4.0 MB)

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I post about splines edges…
here you have endless possibility.Just do some reading

https://forums.odforce.net/topic/44999-on-growth-and-form/?page=2 [forums.odforce.net]
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