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math.MG2018★ 2 cited
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…
math.CO2018
Periodic triangulations of
Mathieu Dutour Sikirić, Alexey Garber
We consider in this work triangulations of that are periodic along . They generalize the triangulations obtained from Delaunay tessellations of lattice…