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- W34531100 abstract "Recent work has shown that many cellular automata (CA) have configurations whose orbit closures are isomorphic to odometers. We investigate the geometry of the spacetime diagrams of these `odometer configurations'. For boolean linear CA, we exactly determine the positions of the consecutive `gears' of the odometer mechanism in the configuration. Then we characterize and explain the self-similar structure visible in the spacetime diagrams of odometer configurations for two classes of nonlinear CA: ratchet CA and Coven CA." @default.
- W34531100 created "2016-06-24" @default.
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- W34531100 date "2008-04-21" @default.
- W34531100 modified "2023-09-25" @default.
- W34531100 title "The spatial structure of odometers in certain cellular automata" @default.
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- W34531100 hasPublicationYear "2008" @default.
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