21. Thus 5-fold rotational symmetry cannot be eliminated by an argument missing either of those assumptions. 22. Professional physicists say that they are irreducible representations ( irreps for short ) of the rotational symmetry . 23. Multipole expansions are related to the underlying rotational symmetry of the physical laws and their associated differential equations. 24. It too looks the same, no matter how one rotates it, so it has rotational symmetry . 25. Rotational symmetry greatly simplifies the analysis of optical systems, which otherwise must be analyzed in three dimensions.26. Because of the lost of rotational symmetry coefficients responsible for this type of mixing always introduce direction dependence. 27. The rotational symmetry group was described by S . L . van Oss ( 1899 ); see References. 28. Geometrically, the graph of an odd function has rotational symmetry with respect to the degrees about the origin. 29. Asymmetry requires at least 5 triangles . 3-fold rotational symmetry without mirror symmetry requires at least 7 triangles. 30. The center image shows a similar-looking depiction of the L10a140 link ( but without true rotational symmetry ).