English

Mixing Convex Polytopes

Combinatorics 2012-01-17 v1

Abstract

The mixing operation for abstract polytopes gives a natural way to construct the minimal common cover of two polytopes. In this paper, we apply this construction to the regular convex polytopes, determining when the mix is again a polytope, and completely determining the structure of the mix in each case.

Keywords

Cite

@article{arxiv.1111.1312,
  title  = {Mixing Convex Polytopes},
  author = {Gabe Cunningham},
  journal= {arXiv preprint arXiv:1111.1312},
  year   = {2012}
}
R2 v1 2026-06-21T19:31:26.793Z