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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