Polygon
Polygon[{p1,…,pn}]
represents a filled polygon with points pi.
Polygon[{p1,…,pn}{{q1,…,qm},…}]
represents a polygon with holes {q1,…,qm},….
Polygon[{poly1,poly2,…}]
represents a collection of polygons polyi.
Polygon[{p1,…,pn},data]
represents a polygon in which coordinates given as integers i in data are taken to be pi.
Details and Options



- Polygon can be used as a geometric region and a graphics primitive.
- Polygon[{p1,…,pn}] is a plane region, representing all the points inside the closed curve with line segments {p1,p2},…,{pn-1,pn} and {pn,p1}.
- A point is an element of the polygon if a ray from the point in any direction in the plane crosses the boundary line segments an odd number of times.
- Polygon[{p1,…,pn}{{q1,…,qm},…}] specifies a polygon with holes consisting of an outer polygon Polygon[{p1,…,pn}] and one or several inner polygons Polygon[{q1,…,qm}],….
- A point is an element of the polygon if it is in the outer polygon but not in any inner polygon.
- Polygon[{poly1,poly2,…}] is a collection of polygons polyi with or without holes and is treated as a union of polyi for geometric computations.
- Polygon[{p1,…,pn},data] effectively replaces integers i that appear as coordinates in data by the corresponding pi.
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Polygon[{p1,…,pn},{b1,…,bn}] polygon boundary points {pb1,…,pbk} Polygon[{p1,…,pn},{{o1,…,ok}{{i1,…,il},…}] outer polygon boundary points {po1,…,pok} and inner polygon boundary {pi1,…,pil} etc. Polygon[{p1,…,pn},{{b1,…,bn},{o1,…,ok}{{i1,…,il},…},…}] a collection of several polygons - As a geometric region, the points pi can have any embedding dimension, but must all lie in a plane and have the same embedding dimension.
- In a graphic, the points pi can be Scaled, Offset, ImageScaled and Dynamic expressions.
- Graphics rendering 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:
-
VertexColors Automatic vertex colors to be interpolated VertexNormals Automatic effective vertex normals for shading VertexTextureCoordinates None coordinates for textures - Point can be used with symbolic points in GeometricScene.



Introduced in 1988
Updated in 2019
(1.0)
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(12.0)