Abstract
Let \({C \subset \mathbb{R}^n}\) be a compact convex body. We prove that there exists an n-simplex \({S\subset \mathbb{R}^n}\) enclosing C such that \({{\rm Vol}(S) \leq n^{n-1} {\rm Vol}(C)}\).
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Kanazawa, A. On the minimal volume of simplices enclosing a convex body. Arch. Math. 102, 489–492 (2014). https://doi.org/10.1007/s00013-014-0616-6
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DOI: https://doi.org/10.1007/s00013-014-0616-6