Totally Splittable Polytopes
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- Herrmann, S. & Joswig, M. Discrete Comput Geom (2010) 44: 149. doi:10.1007/s00454-009-9217-8
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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.