Sequences and series | Combinatorics on words

Sturmian word

In mathematics, a Sturmian word (Sturmian sequence or billiard sequence), named after Jacques Charles François Sturm, is a certain kind of infinitely long sequence of characters. Such a sequence can be generated by considering a game of English billiards on a square table. The struck ball will successively hit the vertical and horizontal edges labelled 0 and 1 generating a sequence of letters. This sequence is a Sturmian word. (Wikipedia).

Sturmian word
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Hamming weight | Transcendental number | Fibonacci word | Continued fraction | Lyndon word | Sequence | Prefix (computer science) | Golden ratio | Irrational rotation | Word (group theory) | Cutting sequence | Mathematics | Discretization | Real number | Beatty sequence | Free monoid | Concatenation | Morphic word | Marston Morse | Limit of a sequence | Irrational number | Three-gap theorem | Complexity function | String (computer science) | Gustav A. Hedlund