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math.CO2020
Polymake.jl: A new interface to polymake
Marek Kaluba, Benjamin Lorenz, Sascha Timme
We present the Julia interface Polymake.jl to polymake, a software for research in polyhedral geometry. We describe the technical design and how the integration into Julia makes it…
math.CO2013
On smooth Gorenstein polytopes
Benjamin Lorenz, Benjamin Nill
A Gorenstein polytope of index r is a lattice polytope whose r-th dilate is a reflexive polytope. These objects are of interest in combinatorial commutative algebra and enumerative…