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math.MG2013
A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints
Bernardo González Merino, Matthias Henze
In this note, we study several inequalities involving geometric functionals for lattice point-free planar convex sets. We focus on the previously not addressed cases perimeter--dia…
math.CO2013
On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts
Matthias Henze
As a discrete analog to Minkowski's theorem on convex bodies, Wills conjectured that the Ehrhart coefficients of a centrally symmetric lattice polytope with exactly one interior la…