Orientability

Orientability refers to the property in which a chiral figure moving across the surface of a polytope remains in its orientation, rather than its mirror image when traversing through the polytope's surface. If it remains in the same orientation, the shape is said to be orientable. Examples include the cube, small stellated dodecahedron and small cubicuboctahedron. Any convex polytope is orientable. A non-orientable polytope is simply one that is not orientable. Examples include the tetrahemihexahedron and small rhombihexahedron.