41. Then the rotational symmetry of the system is spontaneously broken, or rather reduced to the symmetry under rotations around this direction. 42. Rotational symmetry allows the system to be analyzed by considering only rays confined to a single transverse plane containing the optical axis.43. In addition, the requirement of separability in combination with rotational symmetry per se fixates the smoothing kernel to be a Gaussian. 44. Langton's Loops run in a CA that has 8 states, and uses the von Neumann neighborhood with rotational symmetry . 45. It thus works well for parts such as machine screws, with rotational symmetry and a clear asymmetry to one heavy end. 46. We also assume the lattice has 4-fold rotational symmetry ( up to boundary conditions ) and is reflection-invariant. 47. They usually have either twofold rotational symmetry or mirror reflection symmetry ( often both left / right and up / down ). 48. Due to the way that its feathers overlap, a shuttlecock also has a slight natural spin about its axis of rotational symmetry . 49. An equilateral triangle is the most symmetrical triangle, having 3 lines of reflection and rotational symmetry of order 3 about its center. 50. Rotational symmetry is shown by alternately white and blue colored areas with a single fundamental domain for each subgroup is filled in yellow.
