Title: New Directions In Cellular Automata,
Abstract: We Propose A Novel Automaton Model which uses Arithmetic Operations as the
Evolving Rules, each cell has the states of the Natural Numbers k = (N), a
radius of r = 1/2 and operates on an arbitrary input size. The Automaton reads
an Arithmetic Expression as an input and outputs another Arithmetic Expression.
In Addition, we simulate a variety of One Dimensional Cellular Automata
Structures with different Dynamics including Elementary Cellular Automata.