Since lots of materials with some remarkable properties are some form of carbon structures:
Incredible strength of graphene is often explained by it having a hexagonal atomic lattice. Hardness of a diamond is also attributed to it's atomic structure geometry.
My question is - Aren't there other elements in the periodic table that can form rigid structures, either 2D or 3D? Not just hexagon lattice, but also triangular, or other? And if non-carbon materials with similar rigid structures do exist, why don't they have such outstanding properties?
Being new to this topic, I'd be extremely grateful, if someone could name a discipline or a subject that focuses on atomic structures and their characteristics, or recommend a further reading or research direction.