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Generating pictures in string representation with P systems: the case of space-filling curves

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Abstract

The computing model of P system with its several variants is known to be a very convenient framework for dealing with different kinds of problems. P systems have been constructed for the generation of approximating geometric patterns of space-filling curves, such as the Peano curve, the Hilbert curve and others. We present the state-of-the-art in the generation of space-filling curves, and related curves, with P systems with parallel rewriting.

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Acknowledgements

An earlier version of this work was presented at The XX\(^{th}\) Conference on Membrane Computing held in Curtea-de-Argeş, Romania, 5–8 August, 2019, [8]. We are grateful to Rudolf Freund for introducing the notion of derivation modes, and pointing to us on the occasion of this conference the possibility of using only one membrane instead of two.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei St, 010014, Bucharest, Romania

    Rodica Ceterchi

  2. Faculty of Science, Liverpool Hope University, Hope Park, Liverpool, L16 9JD, UK

    K. G. Subramanian

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  1. Rodica Ceterchi
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  2. K. G. Subramanian
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Correspondence to Rodica Ceterchi.

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Ceterchi, R., Subramanian, K.G. Generating pictures in string representation with P systems: the case of space-filling curves. J Membr Comput 2, 369–379 (2020). https://doi.org/10.1007/s41965-020-00061-z

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