Size Does Not Matter: Evolving Parameters for a Cayley Graph Visualiser Using 64 Bits

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.