Totally Splittable Polytopes
arXiv:0901.0231 · doi:10.1007/s00454-009-9217-8
Abstract
A split of a polytope is a (necessarily regular) subdivision with exactly two maximal cells. A polytope is totally splittable if each triangulation (without additional vertices) is a common refinement of splits. This paper establishes a complete classification of the totally splittable polytopes.
15 pages, 7 figures; v2: major revision: corrections of some minor errors and some additions