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20102025
most citedOn the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets

23 citations · 112 across the 26 of their papers we have counts for

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Showing 2011Show all

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math.CO2011★ 1 cited

Belt diameter of -zonotopes

Alexey Garber

We prove that any d-dimensional zonotope obtained from permutahedron by deleting zone vectors has belt diameter at most 3. Moreover if d is not greater than 6 then its belt diamete…

math.CO2011

The second Voronoi conjecture on parallelohedra for zonotopes

Alexey Garber

We prove the second Voronoi conjecture on parallelohedra for zonotope. We show that for a given face-to-face tiling of d-dimensional Euclidean space into parallel copies of zonotop…