
Polygons
A polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
- Wikipedia
Dependencies | |
---|---|
Points | |
Lines |
Supported Platforms | |
---|---|
Rhinoceros | |
Illustrator | |
Grasshopper |
Segments which form a polygon are called edges or sides, and the points where two edges meet are its vertices (singular: vertex) or corners. The interior of the polygon is sometimes called its body. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon.
A regular polygon has equal edge length and subsequently equal interior angles.
A polygon is a closed 2d geometry, meaning it contains its own area. When described on the Euclidean plane, its edges are straight lines.
The sum of the interior angles of a polygon in degrees, regular or not, is the number of its sides n or numSides - 2, multiplied by 180.
Some polygons, such as these hexagons, can neighborhood with polygons of the same type (fit/meet at every edge without leaving gaps). The example on the right shows a mixture of hexagons and pentagons, which can be connected to each other in 3d space to form a fraction of a soccer ball.