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locally catenative sequences

RAIRO - Theoretical Informatics and Applications (1)

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Locally catenative sequencesand Turtle graphics
Juhani Karhumäki, Svetlana Puzynina
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 45 / Issue 3 / July 2011

Published online by Cambridge University Press:

22 August 2011, pp. 311-330

Print publication:

July 2011
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Motivated by striking properties of the well known Fibonacci wordwe consider pictures which are defined by this word and itsvariants via so-called turtle graphics. Such a picture can bebounded or unbounded. We characterize when the picture defined bynot only the Fibonacci recurrence, but also by a generalrecurrence formula, is bounded, the characterization beingcomputable.