Turmite

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In computer science, a turmite is a two-dimensional Turing machine which has a current state, and a "tape" that consists of an infinite grid with labelled cells, nodes or edges. The terms ant and vant are also used. Langton's ant is a well-known type of turmite defined on the cells of a square grid. Paterson's worms are a type of turmite defined on the edges of an isometric grid.

It has been shown that turmites in general are exactly equivalent in power to one-dimensional Turing machines with an infinite tape, as either can simulate the other.

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