3 papers
math.MG2020
-vectors of -polytopes symmetric under rotations and rotary reflections
Maren H. Ring, Robert Schüler
The -vector of a polytope consists of the numbers of its -dimensional faces. An open field of study is the characterization of all possible -vectors. It has been solved in…
math.MG2018
Special cases and a dual view on the local formulas for Ehrhart coefficients from lattice tiles
Maren H. Ring
McMullen's formulas or local formulas for Ehrhart coefficients are functions on rational cones that determine the -th coefficient of the Ehrhart polynomial as a weighted sum of…
math.MG2017
Local Formulas for Ehrhart Coefficients from Lattice Tiles
Maren H. Ring, Achill Schürmann
As shown by McMullen in 1983, the coefficients of the Ehrhart polynomial of a lattice polytope can be written as a weighted sum of facial volumes. The weights in such a local formu…