Good out-the-box thinking, thanks for sharing, Ascania.
There’s also a pretty good tut for Blender, which looks do-able in Hex http://www.youtube.com/watch?feature=endscreen&v=892kVd5oKiQ&NR=1
I don’t think you get that particular triangulation done as easily in Hexagon.
Regarding my video: If figuring out the rotation angle for the multi-copy is too complicated for you, use the symmetry tool instead to stack the rings. A bit less mental effort but it requires a bit more clicky work for higher stacks.