Using Elementary Techniques to Characterize the Relationship Between Wythoff's Game and the Golden Ratio

Autor:	Wang, Vincent, Sampath, Nikhil, Yule, Eric, Wang, Ethan
Rok vydání:	2023
Předmět:	Mathematics - History and Overview Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.07735 Zobrazit plný text záznamu View this record from Arxiv