Mixing Convex Polytopes
arXiv:1111.1312 · doi:10.1016/j.disc.2011.11.014
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.