Axial symmetry - Citizendia

Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around some axis. Symmetry generally conveys two primary meanings The first is an imprecise sense of harmonious or aesthetically-pleasing proportionality and balance such that it reflects beauty or

See also

Rotational symmetry has a more general discussion
Chiral symmetry describes the use in quantum mechanics

Generally speaking an object with rotational symmetry is an object that looks the same after a certain amount of Rotation. In Quantum field theory, chiral symmetry is a possible symmetry of the Lagrangian under which the left-handed and right-handed parts

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