The Enigma of Complexity

In this paper we examine the concept of complexity as itapplies to generative art and design. Complexity has many different, dis-cipline specific definitions, such as complexity in physical systems (en-tropy), algorithmic measures of information complexity and the field of“complex systems”. We apply a series of different complexity measuresto three different generative art datasets and look at the correlationsbetween complexity and individual aesthetic judgement by the artist (inthe case of two datasets) or the physically measured complexity of 3Dforms. Our results show that the degree of correlation is different for eachset and measure, indicating that there is no overall “better” measure.However, specific measures do perform well on individual datasets, indi-cating that careful choice can increase the value of using such measures.We conclude by discussing the value of direct measures in generative andevolutionary art, reinforcing recent findings from neuroimaging and psy-chology which suggest human aesthetic judgement is informed by manyextrinsic factors beyond the measurable properties of the object beingjudged.