Assertion: polyhedron's face | /r/CapableOf | share vertex
Facets:
Source sentences:
text: * the faces that share a vertex form a chain of polygons in which every pair of consecutive polygons share a side (this precludes the case of two pyramids touching at a vertex)
text: See e.g. Whiteley, who discusses the stronger rule that, when faces share more than one vertex, there can be only two and they must share an edge that's also on both faces.