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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Generating the Peano curve and counting occurrences of some patterns

Kitaev, Sergey and Mansour, Toufik and Seebold, Patrice (2004) Generating the Peano curve and counting occurrences of some patterns. Journal of Automata, Languages and Combinatorics, 9 (4). pp. 439-455.

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Abstract

We introduce Peano words, which are words corresponding to finite approximations of the Peano space filling curve. We find the number of occurrences of certain patterns in these words. We give a tag-system to generate automatically these words and, by showing that they are almost cube-free, we prove that they cannot be obtained by simply iterating a morphism.