A modification of Wythoff's Nim
Robbert Fokkink, Rust, Dan · arXiv (Cornell University) · 2019
We modify Wythoff's game by allowing an additional move, which we call a "split", and show how the $P$-positions are coded by the Tribonacci word. We analyze the table of letter positions of arbitrary $k$-bonacci words and find a $\mathrm{mex}$-rule that generates the Quadribonacci table.