Assertion: polyhedron's face | /r/CapableOf | pass through the centre
Facets:
value: in the distortion
type: TEMPORAL
value: out the other side
type: MANNER
Source sentences:
text: A distorted version with an acute vertex figure would indeed have density 7, but as we make the vertex figure's angle grow larger, the eight hexagonal faces pass through the centre and out the other side, and the density now becomes |7 − 8| = 1.
text: Wenninger's figures occurred as duals of the uniform hemipolyhedra, where the faces that pass through the center are sent to vertices "at infinity".
text: This is left blank for non-orientable polyhedra and hemipolyhedra (polyhedra with faces passing through their centers), for which the density is not well-defined.
text: This is essentially the same idea: (2 5/3 5) has density 9, but the vertex figure is obtuse: now we have twelve decagonal faces passing through the centre in the distortion, giving a density of |9 − 12| = 3, the same as (2 5/2 5) which shares the same great circles.