The Curious Case of Reversible Elementary Second Order Cellular Automaton 115

Key Points

• This research aims to establish the periodicity of rule 115 in reversible second order cellular automata.
• Proved periodicity of rule 115 for finite initial configurations.
• Analyzed families of finite configurations with unique period functions.
• Rule 115 was confirmed to be periodic under finite initial conditions.
• Identified specific families of configurations with notable period functions.