Chirality (mathematics)
（重定向自Enantiomorphous）
![Individual left and right footprints are chiral enantiomorphs in a plane because they are mirror images while containing no mirror symmetry individually.](/Images/godic/202501/11/2_parallel_footprints3719.png")
![Left and right-hand rules in three dimensions](/Images/godic/202501/11/3D_Cartesian_Coodinate_Handedness3719.jpg")
![Pair of chiral dice (enantiomorphs)](/Images/godic/202501/11/Chiralität_von_Würfeln_V.1.svg3719.png")
In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone. An object that is not chiral is said to be achiral. In 3 dimensions, not all achiral objects have a mirror plane. For example, a 3-dimensional object with inversion centre as its only nontrivial symmetry operation is achiral but has no mirror plane.