## Unsolved Problems Concerning Lattice Points |

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abstract affine transformation analogous applied arrangement boundary bounded called central symmetric convex classes closed combinatorial compact compactness theorem conjecture considered constant consult contains convergence convex body theorem convex sets coordinates covering curve defined definition denote density determinant directions discs distance function Ehrhart equations established estimation exists extended extremal Fejes Toth finite function geometry geometry of numbers given Hadwiger Hammer independent inequality infinite instance integer known lattice points least London Mahler Math Mathematics maximal measure method minima Minkowski's Monthly n-dimensional number of lattice obtained origin packing pair parallel parameters particular partition plane posed positive possible problems Proc proved question references region respect rotation satisfying Scott showed shown sides similar space sphere square star bodies subset Suppose surface theory transformation true University vertices volume width York