Beyond States and Colors: How a 3x4 Turing Machine Shatters Busy Beaver Records with 10¹⁵⁶⁵ Steps
A newly discovered 8-instruction Turing machine program runs for over 10¹⁵⁶⁵ steps before halting, setting a record in the instruction-limited Busy Beaver game. This breakthrough reveals that minimizing states isn't always optimal, challenging long-held assumptions about computational efficiency.