Computational Origami is an interdisciplinary field that combines mathematics, geometry, symbolic computation, and computer science to study origami through formal and computational methods. In 2020, I published An Introduction to Computational Origami with Springer, which summarized the state of the art of the field, with a particular focus on the Eos (E-Origami System) project that I have been developing since the early 2000s. The field has continued to evolve, and I am currently preparing a substantially revised second edition of the book.

The work on the second edition has coincided with the rapid emergence of large language models (LLMs). Although these systems were not originally designed for symbolic reasoning or mathematical research, they have proved to be surprisingly useful assistants in many aspects of research activity, including writing, revising manuscripts, organizing ideas, exploring related literature, and discussing technical concepts.

In this talk, I will revisit the development of Computational Origami and present some experiences and observations gained through the preparation of the second edition. Rather than focusing on AI technology itself, I will discuss how these new tools are beginning to interact with a long-established research workflow centered on symbolic computation and mathematical knowledge. Drawing on concrete examples from my own research and writing activities, I will reflect on both the opportunities and the limitations of LLMs in mathematical and symbolic-computation-oriented research environments, and conclude with some thoughts on future directions.