Conserved Landscape Permutations

Toffoli [toff7,5] showed that it is possible to realize such conserved landscape permutations in CA systems of arbitrary dimensionality and site value space size I 1= k. In each case, as in the above example, the method defines the inverse along with the forward map. 

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The center site is underlined and the maps labeled (a) are the only ones for which the center site actually changes its value see Conserved Landscape Permutations subsection below. 

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