I have undertaken a project examining lattice model and trying to construct algorithm that could work on all lattice (in physical sense, or crystal structure). I notice there is a branch in mathematics called lattice theory which deals with ordering.
I am wondering whether the lattice theory in mathematics could actually help me in construct such "general algorithm" which can deal with any kinds physical lattice. If so, I will delve into this area. Please help me, thanks.
If you know a more specific mathematical area that deals with general physical lattice ( I have some names in my mind like, mathematical crystallography, lattice graph theory). Please hint me so that I could move forward. Thank you.