polygon
/'pɔligən/
Học thuậtThân thiện
Definition
- Noun:
- A closed plane figure bounded by straight sides: A polygon is a two-dimensional geometric shape formed by connecting a finite number of straight line segments to create a closed chain. The line segments are called sides or edges, and the points where two edges meet are the polygon's vertices.
Examples of Usage
- Noun:
- A square and a triangle are both examples of a polygon.
- The surveyor calculated the area of the irregular polygon.
- In geometry class, we learned to classify polygons by their number of sides.
Advanced Usage
Regular polygon: A polygon where all sides are of equal length and all interior angles are of equal measure.
- A stop sign is in the shape of a regular octagon, which is an eight-sided polygon.
Convex polygon: A polygon where all interior angles are less than 180° and no line segment between any two points on the boundary ever goes outside the polygon.
- For this algorithm to work, the shape must be a convex polygon.
Simple polygon: A polygon whose sides do not intersect each other.
- A simple polygon divides the plane into an interior and an exterior region.
Variants and Related Words
Polygonal (adj): Having the form of a polygon; relating to polygons.
- The building had a distinctive polygonal tower.
Polygonometry (n): The measurement of polygons.
- (A specialized term in surveying and geometry.)
Synonyms
- Multigon: (Less common) A polygon, especially one with many sides.
- Plane figure: A broader term for any two-dimensional shape, which includes polygons.
Related Phrases and Concepts
Polygon mesh: In computer graphics, a collection of vertices, edges, and faces that defines the shape of a 3D object.
- The 3D model's surface is composed of a polygon mesh.
Frequency polygon: In statistics, a graph formed by joining the midpoints of the tops of the bars in a histogram.
- The frequency polygon provided a clear visual of the data distribution.
Noun
- a closed plane figure bounded by straight sides