Assertion: octahedron's face | /r/HasAspect | same pattern
Facets:
value: with 2-fold rotational symmetry
type: OTHER
Source sentences:
text: T, +, (332): if each face has the same pattern with 2-fold rotational symmetry, say the letter S, such that at all edges a top of one S meets a side of the other S, the cube has 12 isometries: the even permutations of the body diagonals.
text: The full symmetry of the cube, O h , , (*432), is preserved if and only if all faces have the same pattern such that the full symmetry of the square is preserved, with for the square a symmetry group, Dih 4 , , of order 8.
text: +, (432), is preserved if and only if all faces have the same pattern with 4-fold rotational symmetry, C 4 , +.