Complex sentence: In three dimensions, it is not possible for a Chiral polytope to have finitely many faces; however, there exist chiral apeirohedra of types,, and.
Split into simpler sentences: In three dimensions, it is not possible for a chiral polytope to have finitely many faces. However, despite the nonexistence of finite chiral three-dimensional polyhedra, there exist three-dimensional chiral apeirohedra of types,, and.