Tile pasting systems for tessellation and tiling patterns

Authors:
T. Robinson;S. Jebasingh;Atulya K. Nagar;K. G. Subramanian
Affiliations:
Department of Mathematics, Madras Christian College, Tambaram, Chennai, India;Department of Mathematics, Saveetha Engineering College, Thandalam, Chennai, India;Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom;School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia
Venue:
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Year:
2010

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Abstract

Pasting System (PS) and Extended Pasting Scheme (EPS) are new techniques to generate tiling patterns by using pasting rules for gluing tiles at their edges. In this paper we introduce a Tabled Pasting System (TPS) based on the technique of suitably grouping the rules of a pasting system into different sets of rules. We compare the generative power of TPS with PS and EPS. We propose theoretical models of P-system, called tile pasting P-system, with active membranes (TPPS−AM) and tissue-like evolution communication tile pasting P system (t−ECTPPS) to generate tiling patterns made of polygon tiles and compare the generative power of TPS with TPPS−AM and t−ECTPPS.