An infinite walk in $\mathbb{N}^{16}$, using only unit steps, with no three collinear points
Year: 2026
Type: preprint
Abstract: Is it possible to walk to infinity, avoiding three collinear points, using as steps only the standard unit basis vectors $(0,0,\ldots, 0, 1, 0, \ldots, 0)$? We prove this is possible in $16$ dimensions.
Source: arXiv (Cornell University)
Author: Shallit, Jeffrey
Institution: University of Waterloo
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212018653
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