Why Your Hands Cannot Trade Places

An object is chiral if it is impossible to perfectly align with its mirror image using only rotation. Much like your left and right hands, these shapes possess a permanent sense of orientation that flipping cannot fix.

Chirality explains why you cannot put your left glove on your right hand, even though they look nearly identical. In geometry, these figures exist in two distinct forms that are reflections of each other but never truly the same. This concept is vital in chemistry, where one version of a molecule might be life-saving medicine while its mirror image could be toxic. It turns out that symmetry is often more complicated than a simple reflection.