Definition

1. Noun:
   • (General) The quality of being made up of exactly similar parts facing each other or around an axis: A balanced and pleasing arrangement of parts in a whole.
   • (Mathematics) An exact correspondence in form, size, and arrangement of parts on opposite sides of a dividing line, plane, or center point.
   • (Physics) The property of a system or phenomenon that remains unchanged under a specific transformation, such as rotation or reflection.

Examples of Usage

• Noun:
  • The symmetry of the butterfly's wings is perfect.
  • The architect designed the building with perfect bilateral symmetry.
  • The laws of physics often exhibit symmetry under certain conditions.

Advanced Usage

• "Axis of symmetry": A line about which a geometric figure is symmetrical.
  • A square has four axes of symmetry.
• "Symmetry breaking": (In physics) A phenomenon where a system ends up in an asymmetric state despite underlying symmetrical laws.
  • The concept of symmetry breaking is crucial in particle physics.
• "Bilateral/Rotational/Reflectional symmetry": Specific types of symmetry based on the transformation (folding, turning, mirroring) that leaves the shape unchanged.
  • A human face has approximate bilateral symmetry.

Variants and Related Words

• Symmetrical (adj): Having symmetry; well-proportioned.
  • The garden was laid out in a symmetrical pattern.
• Symmetrically (adv): In a symmetrical manner.
  • The columns were placed symmetrically on either side of the door.
• Asymmetry (n): Lack of symmetry.
  • The deliberate asymmetry of the sculpture made it more dynamic.

Synonyms

• Balance: A state of equilibrium or equal distribution.
• Proportion: Harmonious relation of parts to each other or to the whole.
• Regularity: The quality of being symmetrical, even, or predictable in form.

Antonyms

• Asymmetry: Lack of symmetry.
• Imbalance: Lack of proportion or balance.
• Irregularity: The quality of not being uniform or symmetrical.

Noun

1. (physics) the property of being isotropic; having the same value when measured in different directions
2. balance among the parts of something
3. (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane