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math.CO2022
Lattice zonotopes of degree 2
Matthias Beck, Ellinor Janssen, Katharina Jochemko
The Ehrhart polynomial of a lattice polytope gives the number of integer lattice points in the -th dilate of for all integers . The degree of is…
math.MG2022
Learning polytopes with fixed facet directions
Maria Dostert, Katharina Jochemko
We consider the task of reconstructing polytopes with fixed facet directions from finitely many support function evaluations. We show that for a fixed simplicial normal fan the lea…