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- W2901878621 abstract "Let $H_n$ be the minimal number of smaller homothetic copies of an $n$-dimensional convex body required to cover the whole body. Equivalently, $H_n$ can be defined via illumination of the boundary of a convex body by external light sources. The best known upper bound in three-dimensional case is $H_3le 16$ and is due to Papadoperakis. We use Papadoperakis' approach to show that $H_4le 96$, $H_5le 1091$ and $H_6le 15373$ which significantly improve the previously known upper bounds on $H_n$ in these dimensions." @default.
- W2901878621 created "2018-11-29" @default.
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- W2901878621 date "2018-11-21" @default.
- W2901878621 modified "2023-09-27" @default.
- W2901878621 title "On illumination of the boundary of a convex body in $mathbb{E}^n$, $n=4,5,6$" @default.
- W2901878621 hasPublicationYear "2018" @default.
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