I tried backlighting it, but it's so dense that no light shone through.
It'd probably look prettier with the repetitions spaced more generously to allow some light to come through in the gaps. That may already have been done by someone somewhere. It rings a little familiar.
My paper didn't really want to cooperate. I wanted all the triangles on top. But every time I put some of the triangles on top of the hexes, some of the other hexes popped up on top of the triangles.That might be a problem with my choice of paper. Or it could be the design simply isn't able to do what I envisioned.
I wonder if something more three dimensional is also possible using this framework. It certainly seems like a possibility.