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Contents

Cellular Automata

Here, the whole world is divided in little boxes. Each of them can take different states marked with different colours. At each timing cycle, the colour changes in function of the states of the neighbouring fields, creating in this way spatial and temporal structures.


Billard

Here you can watch billiards balls of different colours bouncing together. At the same time, they can exerce attracting or repulsing forces on each other. By this means groups are formed, chases take place and colours may vanish into thin air.


Cartoon Characters

In these computer simuations, characters with individual behaviours get into interaction with each other. This may end up into astonishing results on the macroscopic level. A changement in individual behaviour can change the result of the entire (virtual) society.


Interactions

Different kinds of system dynamics are demonstrated in this chapter. Structure formation in Excitable Systems can interactively be experienced at the example of a flu epidemy. It is interesting that this kind of dynamics can equally be found in some very different domains. For instance the heart-beat is the result of miocyte cells organised in a similar structure.


The Predator-Prey Relationship

To eat and to be eaten in a biotope creates a remarkable dynamic. Oscillations in the sense of a cyclic up and down of the population density can be detected. This dynamic is modelled in computer simulations, in which the user can control the parameters through some sliders.


Hypercycles

The dynamics of paper, scissors and stone, as it corresponds to the territorial fights of male lizards, is simulated in the form of some Cellular Automata and of billiard-like models. The system dynamics change according to the rules. Increasing the number of colours from three to five, we can observe hypercycles, working in the same line as self-regulating biochemical systems, such as the citric acid cycle.


Tic Tac Toe

Here you can simply play without any deeper sense. In the case of our Tic Tac Toe, however, it is not only the target to accomplish a row of three on a two-dimensionl pattern. In fact, here we play in a three- dimensional cube. What is more, as a world premiere, you can even play a four dimensional version in a 4 D cube.