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- W1997173896 abstract "What is the smallest circular or square wall hole that a regular tetrahedron can pass? This problem was solved by Itoh et al. (Rend Circ Mat Palermo 2(77):349–354, 2006). Then, we settled the case of equilateral triangular hole in Bárány et al. (Tetrahedra passing through a triangular hole, 2009). Motivated by these results, we consider the corresponding problems in higher dimensions. Among other results, we determine the minimum (n − 1)-dimensional ball hole that a unit regular n-simplex can pass. The diameter of the minimum hole goes to $${3sqrt{2}/4}$$ as n tends to infinity." @default.
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- W1997173896 date "2009-07-11" @default.
- W1997173896 modified "2023-09-26" @default.
- W1997173896 title "Regular simplices passing through holes" @default.
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- W1997173896 doi "https://doi.org/10.1007/s10711-009-9399-5" @default.
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