English

Inscribing a regular octahedron into polytopes

Combinatorics 2013-02-13 v3 Metric Geometry

Abstract

We prove that any simple polytope (and some non-simple polytopes) in R3\mathbb R^3 admits an inscribed regular octahedron.

Keywords

Cite

@article{arxiv.1107.4428,
  title  = {Inscribing a regular octahedron into polytopes},
  author = {Arseniy Akopyan and Roman Karasev},
  journal= {arXiv preprint arXiv:1107.4428},
  year   = {2013}
}
R2 v1 2026-06-21T18:40:24.568Z