EDPolytope: A Package to Compute the Euclidean Distance Degree of A Toric Variety. This page is supplementary material for the article Nearest Points on Toric Varieties by Martin Helmer and Bernd Sturmfels. It describes Version 2.2 of a Macaulay2 package to compute the Euclidean distance degree, polar degrees and Chern-Mather class of a projective toric variety. A download link and examples of use are given below. The package is implemented in Macaulay2 and the internal methods make use of the Polyhedra package. The package is called ”EDPolytope.m2” and may be loaded with the command: needsPackage ”EDPolytope”.

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  1. Nødland, Bernt Ivar Utstøl: Local Euler obstructions of toric varieties (2018)