In their pioneering paper "The Creative Process Where the Artist is Amplified or Superseded by the Computer" (1973) Cornock and Edmonds describe a model for the classification of artworks according to their systemic behaviour. In this presentation I revisit this model, discuss its subsequent development (Edmonds, Turner & Candy, 2004) and present an extension to it that incorporates my own research into the use of the theory of autopoiesis (Maturana & Varela, 1987) as basis for an expanded description of the 'interactive art system'.