Definition

1. Adjective:
   • Relating to or having the shape of a quadrilateral: Specifically describes something that has four sides and four angles, often with particular symmetry properties.
   • Crystallography: Pertaining to a crystal system characterized by three mutually perpendicular axes, two of which are of equal length, while the third is of a different length.

Examples of Usage

• General Shape:
  • The courtyard had a simple, tetragonal layout.
  • They studied the properties of tetragonal polygons.
• Crystallography:
  • Zircon is a mineral that commonly forms tetragonal crystals.
  • The unit cell of this compound is tetragonal.

Advanced Usage

• "Tetragonal symmetry": In geometry and crystallography, this refers to the specific symmetry operations (like rotations) that define the tetragonal crystal system.
  • The mineral exhibits perfect tetragonal symmetry.
• "Tetragonal prism": A three-dimensional shape with two congruent, parallel tetragonal faces (bases) and rectangular lateral faces.
  • The crystal was shaped like a slender tetragonal prism.

Variants and Related Words

• Tetragon (n): A less common term for a quadrilateral; a polygon with four sides and four angles.
  • A square is a regular tetragon.
• Tetragonal System (n): One of the seven crystal systems in crystallography.
  • Rutile crystallizes in the tetragonal system.

Synonyms

• Quadrilateral: Having four sides.
• Four-sided: Describing a shape with four edges.

Notes on Meaning

• The primary meaning relates to the geometric concept of a four-sided figure (tetragon/quadrilateral).
• In scientific contexts, especially geology, chemistry, and material science, the term almost exclusively refers to the specific tetragonal crystal system, which is a more precise and technical usage.

Adjective

1. of or relating to or shaped like a quadrilateral