90 citations · 114 across the 3 of their papers we have counts for
3 papers
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…
math.FA2004★ 90 cited
Antinorms and Radon curves
Horst Martini, Konrad J. Swanepoel
In this paper we consider two notions that have been discovered and rediscovered by geometers and analysts since 1917 up to the present day: Radon curves and antinorms. A Radon cur…