A modification of Wythoff's Nim
Combinatorics
2019-11-19 v2
Abstract
We modify Wythoff's game by allowing an additional move, which we call a "split", and show how the -positions are coded by the Tribonacci word. We analyze the table of letter positions of arbitrary -bonacci words and find a -rule that generates the Quadribonacci table.
Cite
@article{arxiv.1904.08339,
title = {A modification of Wythoff's Nim},
author = {Robbert Fokkink and Dan Rust},
journal= {arXiv preprint arXiv:1904.08339},
year = {2019}
}