geometrical regularity

Thân thiện

A perfect hexagon demonstrates geometrical regularity.

Definition

Noun: A property of polygons characterized by having equal side lengths and equal interior angles. This term describes the symmetrical and balanced nature of a shape where all corresponding parts are congruent.

Usage

The term "geometrical regularity" is used to describe the precise, uniform structure of a polygon. It is a formal, mathematical property. - The square is the simplest example of geometrical regularity among quadrilaterals. - Architects often value geometrical regularity for creating balanced and aesthetically pleasing structures.

Advanced Usage

• In Mathematical Proofs: The concept is used to deduce other properties, such as area or symmetry.
  • The proof relied on the geometrical regularity of the hexagon to calculate its area.
• In Contrast to Irregularity: Used to distinguish between regular and irregular shapes.
  • While a rectangle has right angles, it lacks the full geometrical regularity of a square because its sides are not all equal.

Variants and Related Words

• Regular Polygon (n): The specific shape that possesses geometrical regularity.
  • An equilateral triangle is a regular polygon.
• Regularity (n): The more general state of being regular or following a pattern, which can apply beyond geometry.
  • The regularity of the heartbeat is crucial.

Synonyms

• Symmetry: Balanced proportions on opposite sides of a dividing line or center.
• Uniformity: The quality of being the same in all parts or at all times.

Related Phrases

• Geometric precision: Extreme accuracy in shape and measurement, often a result of geometrical regularity.
  • The machine parts were cut with geometric precision.

Học thuật

Noun

1. a property of polygons: the property of having equal sides and equal angles

Từ đồng nghĩa

• regularity