Assertion: polyhedron's face | /r/HasProperty | adjacent
Facets:
value: to each other
type: TRANSITIVE-OBJECT
value: along this edge
type: LOCATION
Source sentences:
text: For example, in the case of a cube, if the points are on adjacent faces one candidate for the shortest path is the path crossing the common edge; the shortest path of this kind is found using a net where the two faces are also adjacent.
text: For example, in the case of a cube, if the points are on adjacent faces one candidate for the shortest path is the path crossing the common edge; the shortest path of this kind is found using a net where the two faces are also adjacent.
text: If in a polyhedron it is possible to orient the faces so that each edge has opposite directions in the two faces which are adjacent along this edge, then the polyhedron is called orientable, otherwise it is called non-orientable (cf. also Orientation).
text: There are no stellations of the tetrahedron, because all faces are adjacent
text: Its dual, the Szilassi polyhedron, has seven hexagonal faces that are all adjacent to each other, hence providing the existence half of the theorem that the maximum number of colors needed for a map on a (genus one) torus is seven.