46 citations · 50 across the 6 of their papers we have counts for
6 papers
Extreme problems of circle packings on a sphere and irreducible contact graphs
Oleg R. Musin, Alexey S. Tarasov
Recently, we enumerate up to isometry, all locally rigid circle packings on the unit sphere with number of circles N<12. This problem is equivalent to the enumeration of irreducibl…
The Tammes problem for N=14
Oleg R. Musin, Alexey S. Tarasov
The Tammes problem is to find the arrangement of N points on a unit sphere which maximizes the minimum distance between any two points. This problem is presently solved for several…
Enumeration of irreducible contact graphs on the sphere
Oleg Musin, Alexey Tarasov
In this article, using the computer, are enumerated all locally-rigid packings by congruent circles (spherical caps) on the unit sphere with This is equ…
The strong thirteen spheres problem
Oleg Musin, Alexey Tarasov
The thirteen spheres problem is asking if 13 equal size nonoverlapping spheres in three dimensions can touch another sphere of the same size. This problem was the subject of the fa…
The Extremal Spheres Theorem
Arseniy Akopyan, Alexey Glazyrin, Oleg R. Musin +1
Consider a polygon P and all neighboring circles (circles going through three consecutive vertices of P). We say that a neighboring circle is extremal if it is empty (no vertices o…
Existence of a polyhedron which does not have a non-overlapping pseudo-edge unfolding
Alexey S Tarasov
There exists a surface of a convex polyhedron P and a partition L of P into geodesic convex polygons such that there are no connected "edge" unfoldings of P without self-intersecti…