In geometry, a gyration is a rotation in a discrete subgroup of symmetries of the Euclidean plane such that the subgroup does not also contain a reflection symmetry whose axis passes through the center of rotational symmetry.
In the orbifold corresponding to the subgroup, a gyration corresponds to a rotation point that does not lie on a mirror, called a gyration point.
If it was rotating about its center, the rotation would be symmetrical and it would not be considered gyration.
This geometry-related article is a stub.
You can help Wikipedia by expanding it.