23 citations · 112 across the 26 of their papers we have counts for
3 papers · 2 filters
On the Voronoi Conjecture for combinatorially Voronoi parallelohedra in dimension five
Mathieu Dutour Sikirić, Alexey Garber, Alexander Magazinov
In a recent paper Garber, Gavrilyuk and Magazinov proposed a sufficient combinatorial condition for a parallelohedron to be affinely Voronoi. We show that this condition holds for…
On the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets
Igor A. Baburin, Mikhail Bouniaev, Nikolay Dolbilin +4
The local theory of regular or multi-regular systems aims at finding sufficient local conditions for a Delone set to be a regular or multi-regular system. One of the main goals…
On a Helly-type question for central symmetry
Alexey Garber, Edgardo Roldán-Pensado
We study a certain Helly-type question by Konrad Swanepoel. Assume that is a set of points such that every -subset of is in centrally symmetric convex position, is it tr…