Year: 2026
Type: preprint
Abstract: Place a queen in each successive column of an infinite $\mathbb{N}\times\mathbb{N}$ chessboard, always choosing the lowest row such that no two queens may attack one another. We prove that the row $q_n$ occupied by the queen in the $n$th column satisfies $q_n=nϕ+O(1)$ or $q_n=n/ϕ+O(1)$, where $ϕ=(1+\sqrt5)/2$ is the golden ratio.
Source: arXiv (Cornell University)
Author: Ho, Boon Suan
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214623310