This paper evaluates the performance of neural automata (NCA) on the Abstraction and Reasoning Corpus for Artificial General Intelligence (ARC-AGI) dataset, which requires abstract and reasoning tasks. We use gradient-based learning to learn iterative update rules that transform input grids into output grids, and then apply these rules to test inputs. Experimental results demonstrate that NCA models trained via gradient-based learning are effective and efficient approaches for various abstract grid-based tasks on the ARC dataset. Furthermore, we discuss the impact of various design modifications and training constraints, and analyze the behavior and characteristics of NCA applied to ARC, providing insights into the broad applications of self-organizing systems.