English

Algebraic Degrees of 3-Dimensional Polytopes

Combinatorics 2022-03-25 v3 Algebraic Geometry

Abstract

Results of Koebe (1936), Schramm (1992), and Springborn (2005) yield realizations of 33-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.

Keywords

Cite

@article{arxiv.2103.06835,
  title  = {Algebraic Degrees of 3-Dimensional Polytopes},
  author = {Mara Belotti and Michael Joswig and Marta Panizzut},
  journal= {arXiv preprint arXiv:2103.06835},
  year   = {2022}
}

Comments

16 pages, 3 figures; minor additions

R2 v1 2026-06-24T00:01:01.472Z