Definition

1. Verb:
   • To make something symmetrical; to cause something to have symmetry or balanced proportions. This involves arranging or altering parts so that they correspond in size, shape, or position relative to a central axis or point.

Examples of Usage

• Verb:
  • The architect sought to symmetrize the building's facade by adding matching wings on each side.
  • A mathematical operation can symmetrize an equation, making it easier to solve.
  • The goal of the design process was to symmetrize the layout of the garden.

Advanced Usage

• "to symmetrize about an axis": To arrange elements so they are mirror images across a specific line or plane.
  • The function was symmetrized about the y-axis to simplify the analysis.
• Used in technical contexts (mathematics, physics, engineering, design) to describe the process of imposing symmetry on a system, model, or object.

Variants and Related Words

• Symmetrise (verb): A chiefly British English spelling variant of 'symmetrize'. It has the same meaning and usage.
• Symmetry (noun): The quality of being made up of exactly similar parts facing each other or around an axis.
  • The butterfly's wings exhibit perfect symmetry.
• Symmetrical (adjective): Made up of exactly similar parts facing each other or around an axis; showing symmetry.
  • The pattern is symmetrical.
• Symmetrization (noun): The process or result of making something symmetrical.
  • The symmetrization of the data set was a crucial step.

Synonyms

• Balance: To arrange or adjust parts so that they are in a state of equilibrium.
• Regularize: To make something regular or symmetrical, often by imposing a standard pattern.
• Equalize: To make things equal in some respect, which can contribute to symmetry.

Antonyms

• Asymmetrize: To make or become asymmetrical (less common).
• Distort: To pull or twist out of shape, thereby destroying symmetry.
• Skew: To make something asymmetrical or biased.

Related Phrases and Concepts

• Impose symmetry: A phrase often used interchangeably with 'symmetrize' in technical writing.
  • The new algorithm imposes symmetry on the irregular network.
• Bilateral symmetry: A specific type of symmetry where an object can be divided into two mirror-image halves.
  • The goal was to symmetrize the design to achieve bilateral symmetry.

Verb

1. make symmetric
   • symmetrized waves