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math.MG2005
Orthocentric simplices and their centers
Allan L. Edmonds, Mowaffaq Hajja, Horst Martini
A simplex is said to be orthocentric if its altitudes intersect in a common point, called its orthocenter. In this paper it is proved that if any two of the traditional centers of…
math.MG2004★ 24 cited
Coincidences of simplex centers and related facial structures
Allan L. Edmonds, Mowaffaq Hajja, Horst Martini
We investigate the geometric properties of simplices in Euclidean d-dimensional space for which two or more of the analogues of the classical triangle centers (including the centro…