TITLE: Applications of space filling curves
QUESTION [14 upvotes]: I am seeking articles where a space filling curve has been used as a theoretical application, such as in the study of general orthogonal polynomials.

REPLY [2 votes]: In a similar manner to the way they are used by Google maps, space filling curves are used for load balancing super computers. Since computational domains are sometimes more refined in certain locations, space filling curves can catch this (by refining the curve as needed). Another advantage of using these curves for load balancing is that communication between computation units is usually better (though this is only a heuristic).