The opposite of symmetry is asymmetry, which refers to the absence or a violation of symmetry.

Many animals are approximately mirror-symmetric, though internal organs are often arranged asymmetrically.

Since the earliest uses of pottery wheels to help shape clay vessels, pottery has had a strong relationship to symmetry. Pottery created using a wheel acquires full rotational symmetry in its cross-section, while allowing substantial freedom of shape in the vertical direction. Upon this inherently symmetrical starting point, potters from ancient times onwards have added patterns that modify the rotational symmetry to achieve visual objectives.

Symmetry is not restricted to the visual arts. Its role in the history of music touches many aspects of the creation and perception of music.