Sottile, Frank2024-04-262024-04-262003-01https://hdl.handle.net/20.500.14394/34367This is a pre-published version harvested from ArXiv.org.This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties. In particular, we explain the relation between linear precision and a particular linear projection we call the algebraic moment map.Physical Sciences and Mathematicsarticle