Let
be a
-dimensional
vector space over
, let
, and let
be a subspace of of dimension
, where
is a unit normal
vector of
.
Then
is said to have mirror symmetry about
if
contains the vector
whenever it contains .
The vector
is the mirror image of
about
.
Mirror symmetry is sometimes called bilateral symmetry. Most animals are very nearly bilaterally symmetric. Molecules without bilateral symmetry come in two varieties denoted L (laevo) and R (dextro), each of which is the mirror image of the other. Such images are called enantiomers, and their property of being the same except by reflection is called handedness. Some highly symmetric geometric solids, including the snub cube and snub dodecahedron, also lack mirror symmetry and come in two enantiomorphous forms.