@inbook{3d5ae87dcacd46d29c468d656d704b68,
title = "How to flatten a soccer ball",
abstract = "This is an experimental case study in real algebraic geometry, aimed at computing the image of a semialgebraic subset of 3-space under a polynomial map into the plane. For general instances, the boundary of the image is given by two highly singular curves. We determine these curves and show how they demarcate the {"}flattened soccer ball{"}. We explore cylindrical algebraic decompositions, by working through concrete examples. Maps onto convex polygons and connections to convex optimization are also discussed.",
keywords = "Mathematics - Algebraic Geometry, Mathematics - Optimization and Control",
author = "Kaie Kubjas and Parrilo, {Pablo A.} and Bernd Sturmfels",
year = "2017",
doi = "10.1007/978-3-319-61943-9_9",
language = "English",
isbn = "978-3-319-61942-2",
series = "Springer INdAM series",
publisher = "Springer",
pages = "141--162",
editor = "Aldo Conca and Joseph Gubeladze and Tim R{\"o}mer",
booktitle = "Homological and Computational Methods in Commutative Algebra",
address = "Germany",
}