Feasible Models of Computation: Three-Dimensionality and Energy Consumption

Starting with cellular automata as a model of parallel machines we investigate the constraints for the energy consumption of r- dimensional machines which are motivated by fundamental physical limitations for the case r = 3. Depending on the operations which must be considered to dissipate energy (state changes, communication), relations between the relative performance of 2-D and 3-D machines are derived.

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