Generate polygons to fill under 3D line graph

Demonstrate how to create polygons which fill the space under a line graph. In this example polygons are semi-transparent, creating a sort of 'jagged stained glass' effect.

from matplotlib.collections import PolyCollection
import matplotlib.pyplot as plt
import numpy as np

# Fixing random state for reproducibility
np.random.seed(19680801)


def polygon_under_graph(xlist, ylist):
    """
    Construct the vertex list which defines the polygon filling the space under
    the (xlist, ylist) line graph.  Assumes the xs are in ascending order.
    """
    return [(xlist[0], 0.), *zip(xlist, ylist), (xlist[-1], 0.)]


fig = plt.figure()
ax = fig.gca(projection='3d')

# Make verts a list such that verts[i] is a list of (x, y) pairs defining
# polygon i.
verts = []

# Set up the x sequence
xs = np.linspace(0., 10., 26)

# The ith polygon will appear on the plane y = zs[i]
zs = range(4)

for i in zs:
    ys = np.random.rand(len(xs))
    verts.append(polygon_under_graph(xs, ys))

poly = PolyCollection(verts, facecolors=['r', 'g', 'b', 'y'], alpha=.6)
ax.add_collection3d(poly, zs=zs, zdir='y')

ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')
ax.set_xlim(0, 10)
ax.set_ylim(-1, 4)
ax.set_zlim(0, 1)

plt.show()