2 papers
math.CO2016
12, 24 and Beyond
Leonor Godinho, Frederik von Heymann, Silvia Sabatini
We generalize the well-known "12" and "24" Theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects,…
math.NT2009
Staircases in Z^2
Felix Breuer, Frederik von Heymann
A staircase is the set of points in Z^2 below a given rational line in the plane that have Manhattan Distance less than 1 to the line. Staircases are closely related to Beatty and…