[Svartalfiar]

Yes, they are all three dimensional. But their construction/use is not. Nanotubes are essentially a rolled cylinder of graphene, but their electrical properties turn graphene’s 2-dimensional electrical properties into a single dimension (down the axis). The new materials this article describes maintain the same electromagnetic properties as a single sheet of graphene, but in a third dimension, allowing for much thicker materials, giving you much more volume. The issue with graphene is that when stacked, the special properties diminish and are no longer as useful.

[Durus]

A sheet of graphene has three dimensions, and while it's thickness (or depth) is only a single atom it is still a thickness or depth. If we could develop a sheet of some material made of some sort of sub atomic particle that had only the thickness of said single subatomic particle it would still be have three dimensions. Describing graphene as a two dimensional material is not only incorrect it ignores the model of the physical universe in which all known matter exists.

Being able to have a material with the characteristics of graphene but can be thicker than graphene is exciting. It still doesn't make one of the dimensions of graphene not exist.