Polygon

Polygon[{p1,,pn}]
represents a filled polygon with points .

Polygon[{{p11,},{p21,},}]
represents a collection of polygons.

Details and OptionsDetails and Options

  • Polygon can be used as a geometric region and a graphics primitive.
  • Polygon is a plane region, representing all the points inside the closed curve with line segments , , , and . A point is an element of the polygon if a ray from the point in any direction in the plane crosses the boundary curve an odd number of times.
  • As a geometric region, the points can have any length, but must all lie in a plane.
  • Polygon can be used in Graphics and Graphics3D.
  • Non-planar polygons are accepted in Graphics3D and are triangulated, but the result is not platform and view independent and may lead to surprising results.
  • In graphics, the points can be Scaled, Offset, ImageScaled, and Dynamic expressions.
  • Graphics renderings is affected by directives such as FaceForm, EdgeForm, Texture, Specularity, Opacity, and color.
  • FaceForm[front,back] can be used to specify different styles for the front and back of polygons in 3D. The front is defined by the right-hand rule and the direction of the first three points.
  • The following options and settings can be used in graphics:
  • VertexColorsAutomaticvertex colors to be interpolated
    VertexNormalsAutomaticeffective vertex normals for shading
    VertexTextureCoordinatesNonecoordinates for textures
Introduced in 1988
(1.0)
| Updated in 2014
(10.0)