Recurrent Misconceptions in the Study of CA Reversibility on Triangular Grids

We present counterexamples illustrating that the characterization of the reversibility of linear cellular automata on finite triangular grids given by Uguz et al. [2017] and Uguz et al. [2019] is not valid, neither in the case of null boundary conditions nor in the case of periodic boundary conditions.

Automated summary

The study presents counterexamples proving that the characterization of reversibility of linear cellular automata on finite triangular grids provided by Uguz et al. is invalid, whether under null boundary conditions or periodic boundary conditions.