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- W4387076168 abstract "A smooth twisted paper cylinder of aspect ratio $lambda$ is an isometric embedding of a $1 times lambda$ cylinder into $pmb{R}^3$ such that the images of the boundary components are linked. We prove that for such an object to exist we must have $lambda>2$ and that this bound is sharp. We also show that any sequence of examples having aspect ratio converging to $2$ must converge, up to isometries, to a certain $4$-fold wrapping of a right-angled isosceles triangle." @default.
- W4387076168 created "2023-09-27" @default.
- W4387076168 creator A5011629087 @default.
- W4387076168 date "2023-09-25" @default.
- W4387076168 modified "2023-10-12" @default.
- W4387076168 title "The Optimal Twisted Paper Cylinder" @default.
- W4387076168 doi "https://doi.org/10.48550/arxiv.2309.14033" @default.
- W4387076168 hasPublicationYear "2023" @default.
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