Cutting sequence

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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.

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]

References

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Notes
  1. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  2. ^ Pytheas Fogg (2002) p.152
Bibliography
  • Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).