I looked at some of the linked article, and watched the damn video there, and the takeaway i got from it was that when they fused the flakes of graphene to form this fantastic new non-2D material, they fuse in a rather geometrically unique way.
Then; being scientists, they wondered if the magical properties this new strong, light graphene material possessed where due entirely to the nature of graphene, or if perhaps this unique geometric shape it had taken was partially responsible.
Thus; the science wizards took other, simpler materials, (plastic) and using "THREE DIMENSIONAL PRINTING" they duplicated this intricate new geometric structure, and Lo! verily, the materials they had wrought into this twisted new form (plastic) performed marvelous and wondrous new feats of strength and durability, so bolstered by their newfound shape.
Sorry, I'm a bit sleep deprived. But yeah, thats the gist of it.