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math.MG2024
Convex Sequence and Convex Polygon
Angshuman Robin Goswami, István Szalkai
In this paper, we deal with the question; under what conditions the points form a convex polygon provided holds. One of the ma…
math.MG2020
On contact numbers of locally separable unit sphere packings
Károly Bezdek
The contact number of a packing of finitely many balls in Euclidean -space is the number of touching pairs of balls in the packing. A prominent subfamily of sphere packings is f…
math.MG2016
On Contact Numbers of Finite Lattice Sphere Packings of 20-27 Balls
Istvan Szalkai
Empirical constructions having maximal contact numbers of unit balls as putative best ones are presented for 20-27 balls.