Abstract
We study the structure of projections of finite cutting paths that correspond to a Sturmian substitution with incidence matrix that has determinant 1. We show that such projections can be seen as two-letter words, and that there exists another Sturmian substitution that generates these words.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Rosema, S.W. Sturmian substitutions on two letters, cutting paths and their projections. Monatsh Math 155, 449–465 (2008). https://doi.org/10.1007/s00605-008-0003-0
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DOI: https://doi.org/10.1007/s00605-008-0003-0