Python – Sympy Polygon.intersection() Method
Last Updated :
01 Aug, 2020
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
from sympy import Point, Polygon
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 )])
poly1 = Polygon(p1, p2, p3, p4)
poly2 = Polygon(p5, p6, p7)
isIntersection = poly1.intersection(poly2)
print (isIntersection)
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Output:
[Point2D(1/3, 1), Point2D(2/3, 0), Point2D(9/5, 1/5), Point2D(7/3, 1)]
Example #2:
Python3
from sympy import Point, Polygon
p1, p2, p3, p4 = map (Point, [( 0 , 0 ), ( 1 , 0 ), ( 5 , 1 ), ( 0 , 1 )])
poly1 = Polygon(p1, p2, p3, p4)
isIntersection = poly1.intersection(Line(p1, Point( 3 , 2 )))
print (isIntersection)
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Output:
[Point2D(0, 0), Point2D(3/2, 1)]
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