Implementation of Algorithms Related to Convex Hulls and Tropical Varieties for Visualization
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The study of the zero sets of polynomials is one of the main themes in Algebraic Geometry. In the study of the zero sets, the Archimedean tropical variety can be a helpful tool in approximating the norms of the zeros of a given polynomial. The main goal of this thesis is to implement the algorithm for graphically constructing the Archimedean tropical variety of polynomials in two variables (bivariate polynomials) using Sage, a free open-source mathematics software. In the process of graphically constructing the Archimedean tropical variety of bivariate polynomials, the convex hull of points in 3D will be required. This will lead us to write a Sage function based on methods and functions in Sage that will return the convex hull of points in 3D in Sage.
Owusu Kwaakwah, Emma (2016). Implementation of Algorithms Related to Convex Hulls and Tropical Varieties for Visualization. Master's thesis, Texas A & M University. Available electronically from