Using Elementary Techniques to Characterize the Relationship Between Wythoff's Game and the Golden Ratio
History and Overview
2023-10-13 v1 Combinatorics
Abstract
Wythoff's game is a modification of the well-known game of ``nim." Wythoff's game, which does not resemble the Fibonacci sequence, has direct relation to the Golden ratio. We will explore the sequence behind this surprising relationship, and consider the implications of our elementary methods.
Cite
@article{arxiv.2310.07735,
title = {Using Elementary Techniques to Characterize the Relationship Between Wythoff's Game and the Golden Ratio},
author = {Vincent Wang and Nikhil Sampath and Eric Yule and Ethan Wang},
journal= {arXiv preprint arXiv:2310.07735},
year = {2023}
}