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Two connections cross, one must pass under the other. The fact that the circuitry clings toĪ silicon surface does not mean it is two-dimensional. All of these are connectedīy an elegant pattern of tiny wires. Memory elements, registers and other components. Heart of the machine, a tiny silicon chip housing thousands of logic gates, I speak here not of input or output devices but of the They consist of fairly simple elements linked Place is three-dimensional computers, the ones currently inhabiting To the unbelievably narrow confines of one dimension. Journey (computationally speaking) from the land of three dimensions down I shall describe the search and its consequencesįor natural computers in more detail below.īefore embarking on that adventure readers are invited on a short Wolfram,Ĭurrently searching through the myriad of one-dimensional cellularĪutomata, is not above enlisting the help of amateurs in this daring and Vast linear arrays of cells blinking from state to state and churning outĪny calculation a three-dimensional computer is capable of. Wolfram suggests that lurking among them are true computers, Such automata consist of simple elements that combine to generateĬomplexity. Simplest of all possible cellular automata, those that have only a single He proposes to find a cellular automation thatīoth computes and mimics a natural system. Scientific American Wolfram describes the use of cellular automata toĮxplore this possibility. Information, that is, to its ability to compute. The irreducibility of a natural system would followįrom a demonstration of its ability to store, transmit and manipulate That it may not be reducible to a mathematical statement-its bestĭescription is itself. Wolfram notes that a turbulent flow of fluid or the growth of a plantĬonsists of rather simple components whose combined behavior is so complex Theoretical physicist at the Institute for Advanced Study in Princeton. Systems compute conventionally, only that their structure makes computationĪn eloquent exponent of this insight is Stephen Wolfram, a Suspecting that such activities are tantamount to a turmoil of computation Possibilities) may be bubbling, sighing or quietly growing without our Computers made of water, wind and wood (to mention just a few Interesting to consider the possibility that we are also surrounded by Immersed as we now are in a world of artificial computers it is Dewdney, Scientific American 252 (May 1985) 18.īuilding computers in one dimension sheds light on irreducibly complicated phenomena