I'm trying to clip a cloud of points by several polygons, but I don't know if this is possible with plt.axis.set_clip_path().
Since set_clip_path() requires a Path or a Patch as arguments, how could you create a geometry formed by several Polygons? It would be something like a plt.MultiPolygon(), but that doesn't exist. I've tried to create a matplotlib.PatchCollection with all the Polygons, but that does not work.
Here is the desired goal (from upper to lower figure):

Here is how I'd like the code to look like:
import matplotlib.pyplot as plt
from matplotlib.collections import PatchCollection
import numpy as np
fig, ax = plt.subplots()
points = np.array([np.random.random(100)*400,
np.random.random(100)*100]).T
A = plt.Polygon( np.array([( 0, 0),(50,100),(100, 0)]), color='w', ec='k' )
B = plt.Polygon( np.array([(120 , 0),(170 , 100), (220, 0)]), color='w', ec='k' )
C = plt.Polygon( np.array([(240 , 0),(290 , 100), (340, 0)]), color='w', ec='k' )
[ax.add_patch(i) for i in (A,B,C)]
ax.scatter(points[:,0], points[:,1], zorder=3).set_clip_path([A,B,C])
