11 citations · 20 across the 8 of their papers we have counts for
Showing math.MGShow all
3 papers · 1 filter
math.MG2016
Extension of the first mixed volume to nonconvex sets
Emmanuel Tsukerman
We study the first mixed volume for nonconvex sets and apply the results to limits of discrete isoperimetric problems. Let . Define $D_N (M)=\lim_{ε\down…
math.MG2014
Remarks on the the circumcenter of mass
S. Tabachnikov, E. Tsukerman
Suppose that to every non-degenerate simplex Delta in n-dimensional Euclidean space a `center' C(Delta) is assigned so that the following assumptions hold: (i) The map that assigns…
math.MG2012★ 7 cited
The Perpendicular Bisector Construction in -dimensional Euclidean and Non-euclidean Geometries
Emmanuel Tsukerman
The "Perpendicular Bisectors Construction" is a natural way to seek a replacement for the circumcenter of a noncyclic quadrilateral in the plane. In this paper, we generalize this…