Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 46, No. 2, pp. 491512 (2005) 

Coincidences of simplex centers and related facial structuresAllan L. Edmonds, Mowaffaq Hajja and Horst MartiniDepartment of Mathematics, Indiana University, Bloomington, IN 47405, USA; Department of Mathematics, Yarmouk University, Irbid, Jordan; Faculty of Mathematics, Chemnitz University of Technology, 09107 Chemnitz, GermanyAbstract: This is an investigation of the geometric properties of simplices in Euclidean $d$dimensional space for which analogues of the classical triangle centers coincide. A presentation of related results is given, partially unifying known results for $d=2$ and $d=3$. Keywords: barycentric coordinates, centroid, cevian, circumcenter, Cholesky decomposition, FermatTorricelli point, Gram matrix, incenter, Monge point, orthocenter, (regular) simplex, simplex center Full text of the article:
Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.
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