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2016-12-27T11:17:57Z

‎Bibtex

Gubachelier: Die Seite wurde neu angelegt: „ == Reference == Gary Greenfield: Turing-like Patterns from Cellular Automata. In: Bridges 2016, Pages 151–158. == DOI == == Abstract == Turi…“

2016-12-26T22:02:21Z

Die Seite wurde neu angelegt: „ == Reference == Gary Greenfield: Turing-like Patterns from Cellular Automata. In: Bridges 2016, Pages 151–158. == DOI == == Abstract == Turi…“

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== 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 ==
[1] V. Castets, E. Dulos, J. Boissonade and P. De Kepper, Experimental evidence of a sustained standing
Turing-type nonequilibrium chemical pattern, Physical Review Letters, vol. 64, 1990, pp. 2953–2956.

[2] Gary Greenfield, Case Study: A Sculptor - Programmer Collaboration, Technical Report TR-93-03,
Mathematics and Computer Science, University of Richmond, 1993.

[3] S. Kondo and T. Miura, Reaction-diffusion model as a framework for understanding biological pattern
formation, Science, 24 September 2010, pp. 1616–1620.

[4] P. K. Maini, K. J. Painter and H. N. P. Chau, Spatial pattern formation in chemical and biological
systems, Journal Chemical Society, Faraday Transactions, vol. 93, no. 20, 1997, pp. 3601–3610.

[5] Jonathan McCabe, Cyclic symmetric multi-scale Turing patterns, in Bridges 2010 Conference Proceedings,
George W. Hart and Reza Sarhangi, eds., Tessellations Publishing, Phoenix, AZ, 2015, pp. 387–
390. Available online at http://archive.bridgesmathart.org/2010/bridges2010-387.html.

[6] H. Meinhardt, Models of Biological Pattern Formation, Academic Press, London, 1982.

[7] J. D. Murray, Why are there no three-headed monsters? Mathematical modeling in biology, Notices of
the AMS, vol. 59, no. 6, June/July 2012, pp. 785–795.

[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

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2016/bridges2016-151.html

@@ Zeile 27: / Zeile 27: @@
    publisher   = {Tessellations Publishing},
    address     = {Phoenix, Arizona},
-   url         = {http://de.evo-art.org/index.php?title=Turing-like_Patterns_from_Cellular_Automata},
+   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 ==

Turing-like Patterns from Cellular Automata - Versionsgeschichte

Gubachelier: /* Bibtex */

Gubachelier: Die Seite wurde neu angelegt: „ == Reference == Gary Greenfield: Turing-like Patterns from Cellular Automata. In: Bridges 2016, Pages 151–158. == DOI == == Abstract == Turi…“