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math.MG2024
Families of lattices with an unbounded number of unit vectors
Helmut Ruhland
3 families of 4-dimensional lattices are defined. Each lattice is defined by 2 quadratic extensions and has a \emph{finite} number of unit…
math.MG2024
No new lower bound for the density of planar Sets avoiding Unit Distances
Helmut Ruhland
In a recently published article by G. Ambrus et al. a new \emph{upper bound} for the density of an unit avoiding, periodic set is given as , the first upper bound .…