Algebraic Degrees of 3-Dimensional Polytopes

11 Mar 2021 · Mara Belotti, Michael Joswig, Marta Panizzut ·

Results of Koebe (1936), Schramm (1992), and Springborn (2005) yield realizations of $3$-polytopes with edges tangent to the unit sphere. Here we study the algebraic degrees of such realizations. This initiates the research on constrained realization spaces of polytopes.