# New Directions In Cellular Automata

## TL;DR

This paper introduces a novel cellular automaton model that uses arithmetic operations as rules, capable of processing and outputting arithmetic expressions, and demonstrates its simulation of various 1D automata structures.

## Contribution

It presents a new automaton model based on arithmetic operations, expanding the types of rules and input processing in cellular automata.

## Key findings

- Successfully simulates elementary cellular automata dynamics
- Handles arbitrary input sizes for arithmetic expressions
- Demonstrates versatility in modeling different automaton structures

## 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.