I am studying computer science and have an interest in material science. sadly I am only a layman in mathematics and physics. but I want to understand those better to be able to use them more freely and efficiently when thinking about problems and solutions for ideas I have.
At the moment I am trying to do something with sets in lattices in $\mathbb{R}^{2}$ that satisfy Minkowski's Theorem (symmetric to origin, convex and bounded). the idea I was thinking about was to use it for some kind of structural analysis of crystal structures.
I was asking myself if you could use this with something like dense sphere packing, but I can't connect the dots in my head. or maybe there simply are no dots to connect. therefore, it would really help me a lot if I could get feedback. please don't hold back.