Volume 35, Issue 1 (2026)

---

A Small Collatz Rule without the Plus One

Kevin Knight

Exploring the Containment Hierarchy of Subrings over Rings ${\mathbb{Z}}_2$ to ${\mathbb{Z}}_9$ in Two-Dimensional Cellular Automata

Velvet Alexander
Ummity Srinivasa Rao
Kedar Shinde
Jayaram Balabaskaran
R. J. Hari
Asif Islam
Aqdus Bin Bari

A General Result Relating Totalistic Cellular Automata and Self-Referential Sentences

Shuwen Wu
Ming Hsiung

Phase Transitions in Complexity: Active Cell Growth, Shannon Entropy and Kolmogorov Complexity in Dependent Cell Ranges of Mobile Automata with Non-local Rules

Akshaj Devireddy

A 10-Bit S-Box Generated by Feistel Construction from Cellular Automata

Thomas Prévost
Bruno Martin