2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.MG2004★ 2 cited
The kissing problem in three dimensions
Oleg R. Musin
The kissing number k(3) is the maximal number of equal size nonoverlapping spheres in three dimensions that can touch another sphere of the same size. This number was the subject o…
math.MG2003★ 1 cited
Construction of the Voronoi Diagram and Secondary Polytope
Oleg R. Musin
A set S of n points in general position in R^d defines the unique Voronoi diagram of S. Its dual tessellation is the Delaunay triangulation (DT) of S. In this paper we consider the…
math.MG2003
Properties of the Delaunay Triangulation
Oleg R. Musin
We defined several functionals on the set of all triangulations of the finite system of points in d-space achieving global minimum on the Delaunay triangulation (DT). We consider a…