### Abstract

We take a global view at substitution invariant Sturmian sequences. We show that
homogeneous substitution invariant Sturmian sequences sα,α can be indexed by two
binary trees, associated directly with Johannes Kepler’s tree of harmonic fractions
from 1619. We obtain similar results for the inhomogeneous sequences sα,1−α and
sα,0.

Original language | English |
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Article number | A7 |

Pages (from-to) | 1-15 |

Number of pages | 15 |

Journal | Integers |

Volume | 18A |

Publication status | Published - 2018 |

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## Cite this

Dekking, M. (2018). Substitution Invariant Sturmian Words and Binary Trees.

*Integers*,*18A*, 1-15. [A7].