On the minimal volume of simplices enclosing a convex body

Atsushi Kanazawa

doi:10.1007/s00013-014-0616-6

On the minimal volume of simplices enclosing a convex body

Atsushi Kanazawa

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Let C ⊂ ℝⁿ be a compact convex body. We prove that there exists an n-simplex S ⊂ ℝⁿ enclosing C such that Vol(S) ≤ n^n-1Vol(C).

Original language	English
Pages (from-to)	489-492
Number of pages	4
Journal	Archiv der Mathematik
Volume	102
Issue number	5
DOIs	https://doi.org/10.1007/s00013-014-0616-6
Publication status	Published - 2014 May
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00013-014-0616-6

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title = "On the minimal volume of simplices enclosing a convex body",

abstract = "Let C ⊂ ℝn be a compact convex body. We prove that there exists an n-simplex S ⊂ ℝn enclosing C such that Vol(S) ≤ nn-1Vol(C).",

author = "Atsushi Kanazawa",

year = "2014",

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doi = "10.1007/s00013-014-0616-6",

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On the minimal volume of simplices enclosing a convex body

Abstract

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