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Cellular computing is a natural information processing paradigm, capable of modelling various biological, physical and social phenomena, as well as other kinds of complex adaptive systems. The programming of a cellular computer is in many respects similar to the genetic evolution in biology, the result being a proper cell design and a task-specific gene. How should one "program" the cell of a cellular computer so that a dynamic behaviour with computational relevance will emerge? What are the "rules" for designing a computationally universal and efficient cell? The answers to these questions can be found in this exploration. It introduces the paradigm of the cellular neural network and seeks to provide the reader with guidelines for understanding how such cellular computers can be "programmed" and designed optimally. The text contains numerous practical examples and software simulators, allowing readers to experiment with the various phases of designing cellular computers by themselves.