Explore: Symmetry (mathematics)

Symmetry occurs not only in geometry, but also in other branches of mathematics. Symmetry is a type of invariance: the property that a mathematical object

In mathematics, any Lagrangian system generally admits gauge symmetries, though it may happen that they are trivial. In theoretical physics, the notion

This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science

In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure

rigorously. Today, mirror symmetry is a major research topic in pure mathematics, and mathematicians are working to develop a mathematical understanding of the

abelian. Symmetry groups are groups consisting of symmetries of given mathematical objects, principally geometric entities, such as the symmetry group of

Standard Model (mathematical formulation) Symmetry breaking Symmetry in physics Charge (physics) Symmetry in quantum mechanics Fock symmetry Ward identities

The symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under

or shapes within the body of an organism. Importantly, unlike in mathematics, symmetry in biology is always approximate. For example, plant leaves – while

Time-translation symmetry or temporal translation symmetry (TTS) is a mathematical transformation in physics that moves the times of events through a