Abstract:
We introduce the notion of homogeneous mosaic structures as an extension
of the notion of homogeneous structures. We consider the problem of modelling
the functioning of one mosaic homogeneous structure
with the help of another mosaic structure. The proof of universality (i.e.,
the possibility of modelling all corresponding structures with the help of
a given structure) of some mosaic homogeneous structures with triangular,
square, and hexagonal cells is given. In the first case we consider
a structure with three states, and in the two remaining cases we consider
two structures with two and three states.
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