Abstract
Hexagonal tiling systems, hexagonal local picture languages and hexagonal recognizable picture languages are defined in this paper. Hexagonal Wang tiles and systems are also introduced. It is noticed that the family of hexagonal picture languages defined by hexagonal Wang systems coincides with the family of hexagonal picture languages recognized by hexagonal tiling system. Similar to hv-domino systems describing rectangular arrays, we define xyz-domino systems and characterize hexagonal picture languages using this. Unary hexagonal picture languages are also considered and we analyze some of their properties.
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© 2004 Springer-Verlag Berlin Heidelberg
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Dersanambika, K.S., Krithivasan, K., Martin-Vide, C., Subramanian, K.G. (2004). Hexagonal Pattern Languages. In: Klette, R., Žunić, J. (eds) Combinatorial Image Analysis. IWCIA 2004. Lecture Notes in Computer Science, vol 3322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30503-3_4
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DOI: https://doi.org/10.1007/978-3-540-30503-3_4
Publisher Name: Springer, Berlin, Heidelberg
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