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- W4285662682 abstract "In this paper we show that the number of points that can be placed in the grid $ntimes ntimes cdots times n~(d~times)=n^d$ for all $din mathbb{N}$ with $dgeq 2$ such that no three points are collinear satisfies the lower bound begin{align} gg_d n^{d-1}sqrt[2d]{d}.nonumber end{align}This pretty much extends the result of the no-three-in-line problem to all dimension $dgeq 3$." @default.
- W4285662682 created "2022-07-17" @default.
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- W4285662682 date "2021-06-29" @default.
- W4285662682 modified "2023-09-27" @default.
- W4285662682 title "On the general no-three-in-line problem" @default.
- W4285662682 doi "https://doi.org/10.48550/arxiv.2106.15621" @default.
- W4285662682 hasPublicationYear "2021" @default.
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