31. Because of Noether's theorem, rotational symmetry of a physical system is equivalent to the angular momentum conservation law. 32. The angular momentum operator plays a central role in the theory of atomic physics and other quantum problems involving rotational symmetry . 33. The subset of Young's lattice lying below these partitions has both bilateral symmetry and 5-fold rotational symmetry . 34. One could speak of symmetry breaking of the translation symmetry of the lattice, although rotational symmetry may be lost simultaneously. 35. Plants often have radial or rotational symmetry , as do many flowers and some groups of animals such as sea anemones. 36. All equations and effects of special relativity can be derived from this rotational symmetry ( the Poincar?group ) of Minkowski spacetime. 37. Since each of its faces has point symmetry ( equivalently, 180?rotational symmetry ), the truncated icosidodecahedron is a zonohedron. 38. However, five point groups are assigned to two lattice systems, rhombohedral and hexagonal, because both exhibit threefold rotational symmetry . 39. The Sobel Feldman operator, while reducing artifacts associated with a pure central differences operator, does not have perfect rotational symmetry . 40. Of these, " n " can be attributed to available translational symmetry, and the remaining to rotational symmetry .
