One of the first and most original descriptions of the idea of virtual worlds can be found in the science fiction story "Simulacron III" by F.F. Galouye, which was filmed by R.W.Faßbinder under the titel "The wired world". A hierarchy of computer simulated worlds, where transformatory transitions are possible, is invented. These worlds, which for the inhabitants seem to be real, are however pure mathematical simulations.

The chaos cube uses this idea of hierarchical mathematical model-systems of various dimensions. The human visitor can interactively and visually dive into the virtual world of chaotic hierarchies. These are time-discrete and time-continuous models, that can simulate all types of dynamics regardless of dimensions. For the viewer the chaos cube will be projected as a three-dimensional, mathematical space. Other than the classical external observation, the chaos cube provides a point for observation that lies within the object world, thus providing the possibility to make different and new experiences about our world. The dynamical systems of the chaos cube offer the additional possibility to change the viewer`s position to the flow that is changing with time. The viewer experiences the temporal and structural evolution of the system. He can interactively controle the system by using a simple command-speech, directing an agent which is local to the mathematical world. He can chose to observe this space of being from the outside, or exchange his position with the local agent.