Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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.

share|cite|improve this question
Those are two completely different things, which unfortunately have the same name. See and – Samuel Nov 1 '13 at 20:54
It really depends what kind of properties of lattices (in the physical sense) you care about. I should add that lattices in mathematics (ie special types of partially ordered sets) are not related too much with lattices in the physical sense but lattices in the group theoretic sense are related. See Specifically, they give a way of studying the symmetric behavior of lattice arrangements (ie what kinds of geometric transformations can we apply to the entire lattice). – Dan Rust Nov 1 '13 at 20:56
Begin with and book generally referred to as SPLAG – Will Jagy Nov 1 '13 at 21:34
Cross-posted to – Qmechanic Nov 6 '13 at 1:51
Also cross-posted at – Joel Reyes Noche Nov 9 '13 at 0:51

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.