In fact, a computer that calculates prime numbers has been designed within the Wireworld system. Components are relatively easy to combine and the capabilities of the automaton make it Turing-complete. Using these four simple rules, it is possible to design structures such as diodes (shown below), logic gates, and clock generators. Conductors (yellow) become electron heads if exactly one or two neighboring cells are electron heads. Electron heads (blue) become electron tails in the succeeding generation. Empty cells (black) always remain empty. Wireworld uses four possible cell states and has the following rules: PDF The basic configurations of the Game of Life, viz., gliders, oscillators and invariants, are presented in higher dimensions. Wireworld is a cellular automaton that simulates electronic devices and logic gates by having cells represent electrons traveling across conductors. "Demon" artifacts, as shown below, create these spirals and are constructed from adjacent groups of cells which constantly devour each other and create a rotating pattern. Two dimensional cyclic cellular automata typically result in spiraling patterns that eventually consume the entire grid. Cycles involving more than 4 colors tend to produce patterns that stabilize more quickly when compared to 3 or 4-color cycles. One dimensional cyclic cellular automata can be used to model particles that undergo ballistic annihilation. Whenever a cell is neighbored by a cell whose color is next in the cycle, it copies that neighbor's color-otherwise, it remains unchanged. In cyclic cellular automata, an ordering of multiple colors is established. The Immigration Game and the Rainbow Game of Life can both be viewed and played here. Some investigations on the propagation of colors in the Rainbow Game of Life can be seen here. The Rainbow Game of Life is notable for being somewhat analogous to genetic properties spreading through a population of creatures. Thus, a cell which is born from two black cells and one white cell will have a dark gray appearance. The Rainbow Game of Life is similar to the Immigration Game, only newborn cells instead are colored based on the average color values of their parent cells.
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