Abstract
In this paper, an Interactive Evolutionary system is described, which generates visually appealing 3D projections of mathematical constructs. This system uses a combination of the Grammatical Evolution paradigm and Jenn3d, a visualiser of Cayley graphs of finite Coxeter groups. A very compact representation is used for the genotype strings, using only 64 bits. The resulting visualisations, albeit somewhat restricted, still exhibit a large degree of complexity and evolvability, and are well representative of the domain.
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References
UCD Research Images (February 2012), http://www.ucd.ie/research/images/2011winners/
Boden, M.A., Edmonds, E.A.: What is generative art? Digital Creativity 20(1-2), 21–46 (2009)
Browne, C.: World in a word 64-bit design challenge (June 2013), http://www.cameronius.com/research/cec/
Esparcia-Alcázar, A.I., Ekárt, A., Silva, S., Dignum, S., Uyar, A.Ş. (eds.): EuroGP 2010. LNCS, vol. 6021, pp. 1–13. Springer, Heidelberg (2010)
Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press (1975)
Lindenmayer, A.: Mathematical models for cellular interaction in development, parts i and ii. Journal of Theoretical Biology 18, 280–315 (1968)
Nicolau, M., Costelloe, D.: Using grammatical evolution to parameterise interactive 3d image generation. In: Di Chio, C., Brabazon, A., Di Caro, G.A., Drechsler, R., Farooq, M., Grahl, J., Greenfield, G., Prins, C., Romero, J., Squillero, G., Tarantino, E., Tettamanzi, A.G.B., Urquhart, N., Uyar, A.Ş. (eds.) EvoApplications 2011, Part II. LNCS, vol. 6625, pp. 374–383. Springer, Heidelberg (2011)
Nicolau, M., Dempsey, I.: Introducing grammar based extensions for grammatical evolution. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2006, Vancouver, BC, Canada, July 16-21, pp. 2663–2670. IEEE Press (2006)
Obermeyer, F.: Jenn3d for visualizing coxeter polytopes (June 2010), http://jenn3d.org
O’Neill, M., Ryan, C.: Grammatical Evolution - Evolutionary Automatic Programming in an Arbitrary Language. Genetic Programming, vol. 4. Kluwer Academic (2003)
O’Neill, M., Ryan, C., Nicolau, M.: Grammar defined introns: An investigation into grammars, introns, and bias in grammatical evolution. In: Spector, L. (ed.) Proceedings of the Genetic and Evolutionary Computation - GECCO 2001, Genetic and Evolutionary Computation Conference, San Francisco, CA, USA, July 7-11, pp. 97–103. Morgan Kaufmann (2001)
Perez, D., Nicolau, M., O’Neill, M., Brabazon, A.: Evolving behaviour trees for the mario ai competition using grammatical evolution. In: Di Chio, C., et al. (eds.) EvoApplications 2011, Part I. LNCS, vol. 6624, pp. 123–132. Springer, Heidelberg (2011)
Silva, S., Foster, J.A., Nicolau, M., Machado, P., Giacobini, M. (eds.): EuroGP 2011. LNCS, vol. 6621. Springer, Heidelberg (2011)
Sutton, R.S., Barto, A.G.: Reinforcement Learning: An Introduction. MIT Press (1998)
Witten, I.H., Neal, R.M., Cleary, J.G.: Arithmetic coding for data compression. Communications of the ACM 30(6), 520–540 (1987)
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Nicolau, M., Costelloe, D. (2014). Size Does Not Matter: Evolving Parameters for a Cayley Graph Visualiser Using 64 Bits. In: Romero, J., McDermott, J., Correia, J. (eds) Evolutionary and Biologically Inspired Music, Sound, Art and Design. EvoMUSART 2014. Lecture Notes in Computer Science, vol 8601. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44335-4_4
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DOI: https://doi.org/10.1007/978-3-662-44335-4_4
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