Regular Simplices Passing through Holes
نویسندگان
چکیده
What is the smallest circular or square wall hole that a regular tetrahedron can pass? This problem was solved by Itoh–Tanoue– Zamfirescu [8]. Then, we settled the case of equilateral triangular hole in [1]. 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 3 √ 2/4 as n tends to infinity.
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