paper

Algebraic Degrees of 3-Dimensional Polytopes

arXiv:2103.06835

Abstract

Results of Koebe (1936), Schramm (1992), and Springborn (2005) yield realizations of -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.

16 pages, 3 figures; minor additions