WindingPolygon
WindingPolygon[{p1,p2,…,pn}]
gives a polygon representing all points for which the closed contour p1,p2,…,pn,p1 winds around at least once.
WindingPolygon[{{p11,p12,…},{p21,p22,…},…}]
gives a polygon from the closed contours p11,p12,… and p21,p22,….
WindingPolygon[…,"wrule"]
uses the specified winding rule "wrule" to define the polygon.
Details and Options


- WindingPolygon is also known as winding filling rule.
- WindingPolygon is commonly used to define a polygon from self-intersecting closed curves.
- A point p is in the polygon if the number of revolutions of the closed contour around p is not zero. The number of revolutions is given by WindingCount.
- The number of winding counts are given below for each region:
- Different winding rules "wrule" give different polygons. Possible winding rules include:
- WindingPolygon[{p1,p2,…}] is equivalent to WindingPolygon[{p1,p2,…},"NonzeroRule"].
- The points pi can have any embedding dimension, but must all lie in a plane and have the same embedding dimension.
- WindingPolygon takes the same options as Polygon.


Examples
open allclose allBasic Examples (2)
Scope (14)
Basic Uses (5)
Options (6)
VertexNormals (1)
VertexTextureCoordinates (3)
Texture mapping with 2D polygons:
Texture mapping with 3D polygons:
Repeat a texture by using non-unified texture coordinate values:
Texture mapping is preceded by VertexColors:
Applications (3)
Properties & Relations (2)
WindingPolygon is in general different than Polygon:
CrossingPolygon is an alternate polygon constructor:
Possible Issues (2)
WindingPolygon always gives full-dimensional components:
The points in WindingPolygon must lie on a plane:

Text
Wolfram Research (2019), WindingPolygon, Wolfram Language function, https://reference.wolfram.com/language/ref/WindingPolygon.html.
CMS
Wolfram Language. 2019. "WindingPolygon." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/WindingPolygon.html.
APA
Wolfram Language. (2019). WindingPolygon. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/WindingPolygon.html