Brave lattice has not only translational symmetry, but also rotational symmetry, mirror symmetry and anti-symmetry (this problem only considers these four aspects). According to the spatial symmetry group introduced by symmetry operation, 14 brave lattices are divided, including face-centered cube and body-centered cube. Then since they are all separated, it must be different. The "transformation" of the main problem is ambiguous. The first kind of understanding, the problem of mathematical equivalence, cannot be transformed because of symmetry element's difference. The second understanding is that the lattice changes through external influences. That certainly exists, such as the transformation of ferrite (bcc) and austenite (fcc) mentioned above. Of course, there is carbon in it.