In mathematics, the binary cyclic group of the n-gon is the cyclic group of order 2n,
In terms of binary polyhedral groups, the binary cyclic group is the preimage of the cyclic group of rotations (
of the special orthogonal group by the spin group.
As a subgroup of the spin group, the binary cyclic group can be described concretely as a discrete subgroup of the unit quaternions, under the isomorphism