151 citations · 221 across the 3 of their papers we have counts for
3 papers
math.MG2013★ 5 cited
Altitudes of a Tetrahedron and Traceless Quadratic Forms
Hans Havlicek, Gunter Weiß
It is well known that the three altitudes of a triangle are concurrent at the so-called orthocenter of the triangle. So one might expect that the altitudes of a tetrahedron also me…
math.MG2007★ 151 cited
The geometry of Minkowski spaces -- a survey. Part I
Horst Martini, Konrad J Swanepoel, Gunter Weiss
We survey elementary results in Minkowski spaces (i.e. finite dimensional Banach spaces) that deserve to be collected together, and give simple proofs for some of them. We place sp…
math.OC2007★ 65 cited
The Fermat-Torricelli problem in normed planes and spaces
Horst Martini, Konrad J Swanepoel, Gunter Weiss
We investigate the Fermat-Torricelli problem in d-dimensional real normed spaces or Minkowski spaces, mainly for d=2. Our approach is to study the Fermat-Torricelli locus in a geom…