Corpus ID: 237303869

Fractions, Functions and Folding. A Novel Link between Continued Fractions, Mahler Functions and Paper Folding

@inproceedings{Nieuwveld2021FractionsFA,
  title={Fractions, Functions and Folding. A Novel Link between Continued Fractions, Mahler Functions and Paper Folding},
  author={Joris Nieuwveld},
  year={2021}
}
Repeatedly folding a strip of paper in half and unfolding it in straight angles produces a fractal: the dragon curve. Shallit, van der Poorten and others showed that the sequence of right and left turns relates to a continued fraction that is also a simple infinite series. We construct a Mahler function from two functions of Dilcher and Stolarsky with similar properties. It produces a predictable irregular continued fraction that admits a regular continued fraction and a shape resembling the… Expand

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