TITLE: Applications of De-Bruijn Sequences in "Pure Mathematics"
QUESTION [5 upvotes]: I know of a few applications of De-Bruijn Sequences and De Bruijn Graphs in combinatorics, applied mathematics, Engineering and computer science. But I have only found one application of De Bruijn sequences in "pure mathematics", specifically in Diophantine approximations,  which is the following: http://eprints.whiterose.ac.uk/126995/1/160507953v3.pdf
Do you know of any other such applications of De Bruijn sequences in "Pure Mathematics"?

REPLY [4 votes]: De Bruijn graphs (or, rather, their subgraphs) play a significant role in symbolic dynamics where they are known under the name of Rauzy graphs.