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- W2074271692 abstract "In this paper, we show lower bounds for the on-line version of Heilbronn's triangle problem in three and four dimensions. Specifically, we provide incremental constructions for positioning n points in the 3-dimensional (resp., 4-dimensional) unit cube, for which every tetrahedron (resp., pentahedron) defined by four (resp., five) of these points has volume Ω(1/n3.333…) (resp., Ω(1/n5.292…))." @default.
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- W2074271692 date "2004-06-01" @default.
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- W2074271692 title "The on-line Heilbronn's triangle problem" @default.
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- W2074271692 doi "https://doi.org/10.1016/j.disc.2004.03.001" @default.
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