Cutting sequence
![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.](/Images/godic/202501/07/Fibonacci_word_cutting_sequence4343.png")
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.
Sturmian words are a special case of cutting sequences where the curves are straight lines of irrational slope.