Planar branches for hexagon build

Hi,
I would like to create a branch solution for this hexagon model, to have a branch system that holds the hexagons up into this shape. Problem is I would like to make the branches planar, so they could be cut out, as seen on the pictures some of them are not, and I am not sure whether this is even possible given the rotations of the hexagons.

Does anyone know a good solution to this problem?

Thanks




Branches.gh (306.5 KB)