Turing-like Patterns from Cellular Automata
Inhaltsverzeichnis
Reference
Gary Greenfield: Turing-like Patterns from Cellular Automata. In: Bridges 2016, Pages 151–158.
DOI
Abstract
Turing patterns are patterns produced using a model proposed by Turing for vertebrate skin patterns. Turing-like patterns are similar patterns that are produced using models that differ from the one Turing proposed. We survey mathematical art based on Turing-like patterns and then focus on a cellular automaton for Turing-like patterns proposed by Young. By investigating the parameter space of Young’s model and considering variations of his model we are led to a series of artworks based on Turing-like patterns.
Extended Abstract
Bibtex
@inproceedings{bridges2016:151,
author = {Gary R. Greenfield},
title = {Turing-like Patterns from Cellular Automata},
pages = {151--158},
booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
year = {2016},
editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
isbn = {978-1-938664-19-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
url = {http://de.evo-art.org/index.php?title=Turing-like_Patterns_from_Cellular_Automata },
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-151.html}}
}
Used References
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[6] H. Meinhardt, Models of Biological Pattern Formation, Academic Press, London, 1982.
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[8] A. Turing, The chemical basis of morphogenesis, Philosophical Transactions of the Royal Society of London, vol. B, no. 237, 1952, pp. 37–72.
[9] Sarah Stengle, Without Me: Diverse Themes, Exhibition catalog from Zoellner Art Center, Lehigh University, Bethlehem, PA, 2001.
[10] Andrew Werth, Turing patterns in Photoshop, in Bridges 2015 Conference Proceedings. Kelly Delp, Craig S. Kaplan, Douglas McKenna and Reza Sarhangi, eds., Tessellations Publishing, Phoenix, AZ, 2015, pp. 459–462. Available online at http://archive.bridgesmathart.org/ 2015/bridges2015-459.html.
[11] D. A. Young, A local activator-inhibitor model of vertebrate skin patterns, in Theory & Application of Cellular Automata, S. Wolfram (ed.), World Scientific, 1986, pp. 320–327.
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-151.pdf
