Cutting sequence

In digital geometry, a cutting sequence is a sequence of symbols whose elements correspond to the individual grid lines crossed ("cut") as a curve crosses a square grid.

[1] Sturmian words are a special case of cutting sequences where the curves are straight lines of irrational slope.

[2] This combinatorics-related article is a stub.

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The Fibonacci word is an example of a Sturmian word . The start of the cutting sequence shown here illustrates the start of the word 0100101001.