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2020 | OriginalPaper | Chapter

Tile Pasting P System Constructing Homeogonal Tiling

Authors : S. Jebasingh, T. Robinson, Atulya K. Nagar

Published in: New Trends in Computational Vision and Bio-inspired Computing

Publisher: Springer International Publishing

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Abstract

Two dimensional tiling of the plane are constructed using a distributed computing model, namely Tile Pasting P System (TPPS) where rules are used to glue the tiles together in a hierarchically arranged membrane regions. The present study focuses on the generation of Homeogonal family of tiling with the bio inspired computing model TPPS.

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Literature
1.
Branko Gruenbaum, Shephard, G.C., Tilings and Patterns, W.H. Freeman Company, Newyork, 1986.
2.
S. Jebasingh, T. Robinson, Atulya K. Nagar., Constructing non-periodic tiling patterns with P system. Romanian Journal of Information Science and Technology (Special issue) 15(1) (2012), pp. 21–32.
3.
S. Jebasingh, T. Robinson, Atulya K. Nagar, Aperiodic Tiling using P system, ICTACT Journal on Soft Computing, April 2015, Volume: 05, Issue: 03, ISSN No (Print) 0976–6561.
4.
S. Jebasingh, T. Robinson, Atulya K. Nagar, Homeotoxal and Homeohedral Tiling using Pasting Scheme, Malaya Journal of Matematik, November 2015, University Press, Singapore.
5.
Krithivasan, K., Rama, R., Introduction to Formal Languages, Automata and Computation. Pearson Education, New Delhi, 2009.
6.
Subramanian, K.G., T. Robinson, Atulya. K. Nagar., Tile pasting P system model for pattern generation. Proc. Third Asia International Conference on Modelling and Simulation, Indonesia (2009), pp. 359–362.
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Păun, Gh., Rozenberg, G., Salomaa, A., The Oxford Handbook of Membrane Computing, Oxford University, Press. 2010.CrossRef
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Subramanian, K.G., Saravanan, R., T. Robinson, P System for Array Generation and Application to Kolam Patterns. Forma 22 (2007), pp. 47–54.
10.
S. Jebasingh, T. Robinson, Atulya K. Nagar., A variant of Tile Pasting P System for Tiling Patterns. In: Proc. of 2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications, (UK), 2 (2010), pp. 1568–1576.
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S. Jebasingh, T. Robinson, Atulya K. Nagar., P Systems Generating Self Similar Tilings, In: Proc. of Sixth International Conference on Bio-Inspired Computing: Theories and Applications (2011), pp. 284–289.
12.
T. Robinson, Jebasingh, S., Atulya K. Nagar, Subramanian, K.G., Tile Pasting Systems for Tessellation and Tiling Patterns, Lecture Notes in Computer Science 6026 (2010), pp. 72–84.
Metadata
Title
Tile Pasting P System Constructing Homeogonal Tiling
Authors
S. Jebasingh
T. Robinson
Atulya K. Nagar
Copyright Year
2020
Publisher
Springer International Publishing
Book
New Trends in Computational Vision and Bio-inspired Computing

Print ISBN: 978-3-030-41861-8

Electronic ISBN: 978-3-030-41862-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-41862-5_133

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