On the circumradius of a special class of n-simplices
Metric Geometry
2010-07-16 v2
Abstract
An n-simplex is called circumscriptible (or edge-incentric) if there is a sphere tangent to all its n(n + 1)/2 edges. We obtain a closed formula for the radius of the circumscribed sphere of the circumscriptible n-simplex, and also prove a double inequality involving the circumradius and the edge-inradius of such simplices. Among this inequality settles affirmatively a part of a problem posed by the authors.
Keywords
Cite
@article{arxiv.1007.1602,
title = {On the circumradius of a special class of n-simplices},
author = {Yudong Wu and Zhihua Zhang},
journal= {arXiv preprint arXiv:1007.1602},
year = {2010}
}
Comments
11 pages