Python – Sympy Polygon.intersection() Method

In Sympy, the function Polygon.intersection() is used to get the intersection of a given polygon and the given geometry entity. The geometry entity can be a point, line, polygon, or other geometric figures. The intersection may be empty if the polygon and the given geometry entity are not intersected anywhere. But can contain individual Points or complete Line Segments if intersection exists.

Syntax: Polygon.intersection(o)

Parameters: Geometry Entity

Returns: The list of Segments or Points of intersection.

Example #1:

Python3

# import Point, Polygon
from sympy import Point, Polygon

# creating points using Point()
p1, p2, p3, p4 = map(Point, [(0, 0), (1, 0), (5, 1), (0, 1)])
p5, p6, p7 = map(Point, [(3, 2), (1, -1), (0, 2)])

# creating polygons using Polygon()
poly1 = Polygon(p1, p2, p3, p4)
poly2 = Polygon(p5, p6, p7)

# using intersection()
isIntersection = poly1.intersection(poly2)

print(isIntersection)

Output:

[Point2D(1/3, 1), Point2D(2/3, 0), Point2D(9/5, 1/5), Point2D(7/3, 1)]

Example #2:

Python3

# import Point, Polygon
from sympy import Point, Polygon

# creating points using Point()
p1, p2, p3, p4 = map(Point, [(0, 0), (1, 0), (5, 1), (0, 1)])

# creating polygon using Polygon()
poly1 = Polygon(p1, p2, p3, p4)

# using intersection()
isIntersection = poly1.intersection(Line(p1, Point(3, 2)))

print(isIntersection)

Output:

[Point2D(0, 0), Point2D(3/2, 1)]