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The Edge-Tangent Sphere of a Circumscriptible n-Simplex

Wu, Yu-Dong and Zhang, Zhi-Hua (2007) The Edge-Tangent Sphere of a Circumscriptible n-Simplex. Research report collection, 10 (3).

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Abstract

A n−simplex is circumscriptible if there is a sphere tangent to each of its n(n + 1)/2 edges. We prove that the radius of the edge-tangent sphere is at least √((n(n−1))/2) times the radius of its inscribed sphere. This settles affirmatively a part of a problem posed by the authors.

Item Type: Article
Uncontrolled Keywords: inequality, simplex, edge-tangent sphere
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:44
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18372
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