如何从Shapely的MultiPolygon获取坐标列表

Question

我有一系列Shapely Polygon（一个MultiPolygon集），并且我想计算整个Multipolygon集上一个圆的相交面积。我可以对单个多边形执行此操作，例如：

from shapely.geometry import Point, Polygon, MultiPolygon
import matplotlib.pyplot as plt
import numpy as np

p = Point(0, 0)
circle = p.buffer(1.) # circle of center p and radius 1.
points = np.array(circle.exterior.coords) # point coords of circle
polygon = Polygon(points) # create polygon
plt.scatter(points[:,0],points[:,1])

p2 = Point(0.4, 0.7)
circle2 = p2.buffer(0.3)
points2 = np.array(circle2.exterior.coords)
polygon2 = Polygon(points2)
plt.scatter(points[:,0],points[:,1])

p3=polygon.intersection(polygon2)
p3_coord=np.array(p3.exterior.coords)
plt.scatter(p3_coord[:,0],p3_coord[:,1])
print(p3.area) # area of the intersection (green poligon)

现在，我尝试使用MultiPolygon进行相同操作：

p3 = Point(0.3, 0.9)
circle3 = p3.buffer(0.3)
points3 = np.array(circle3.exterior.coords)
polygon3 = Polygon(points3)
plt.scatter(points3[:,0],points3[:,1])

p4 = Point(0.85, 0.9)
circle4 = p4.buffer(0.2)
points4 = np.array(circle4.exterior.coords)
polygon4 = Polygon(points4)
plt.scatter(points4[:,0],points4[:,1])

p5 = Point(0.6, 0.9)
circle5 = p5.buffer(0.1)
points5 = np.array(circle5.exterior.coords)
polygon5 = Polygon(points5)
plt.scatter(points5[:,0],points5[:,1])

polygons = MultiPolygon([polygon3, polygon4])
p_intersect=polygons.intersection(polygon5)

p_intersect_coord=np.array(p_intersect.exterior.coords)
plt.scatter(p_intersect_coord[:,0],p_intersect_coord[:,1])

但是我得到了错误

AttributeError: 'MultiPolygon' object has no attribute 'exterior'

我想要的是计算相交区域中的面积，即绿色圆圈和蓝色圆圈之间的面积，以及绿色圆圈和橙色圆圈之间的面积。考虑到MultiPolygon（蓝色加橙色圆圈）和绿色圆圈，我想在一个操作中完成此操作。 有没有办法匀称？