Circular symmetry

A 2-dimensional object with circular symmetry would consist of concentric circles and annular domains.

For example, the duocylinder and Clifford torus have circular symmetry in two orthogonal axes.

Rotational spherical symmetry has all the discrete chiral 3D point groups as subgroups.

A scalar field has spherical symmetry if it depends on the distance to the origin only, such as the potential of a central force.

A vector field has spherical symmetry if it is in radially inward or outward direction with a magnitude and orientation (inward/outward)[citation needed] depending on the distance to the origin only, such as a central force.

A double-cone is a surface of revolution , generated by a line.
An unmarked sphere has reflectional spherical symmetry .