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Jun 16, 2021
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Improve example for 3D polygons #20399

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36 changes: 13 additions & 23 deletions examples/mplot3d/polys3d.py
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Original file line number Diff line number Diff line change
Expand Up @@ -11,43 +11,33 @@
from matplotlib.collections import PolyCollection
import matplotlib.pyplot as plt
import numpy as np
from scipy.stats import poisson

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


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


ax = plt.figure().add_subplot(projection='3d')

# Make verts a list such that verts[i] is a list of (x, y) pairs defining
# polygon i.
verts = []
x = np.linspace(0., 10., 31)
lambdas = range(1, 9)

# Set up the x sequence
xs = np.linspace(0., 10., 26)
# verts[i] is a list of (x, y) pairs defining polygon i.
verts = [polygon_under_graph(x, poisson.pmf(l, x)) for l in lambdas]
facecolors = plt.get_cmap('viridis_r')(np.linspace(0, 1, len(verts)))

# The ith polygon will appear on the plane y = zs[i]
zs = range(4)
poly = PolyCollection(verts, facecolors=facecolors, alpha=.7)
ax.add_collection3d(poly, zs=lambdas, zdir='y')

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)
ax.set(xlim=(0, 10), ylim=(1, 9), zlim=(0, 0.35),
xlabel='x', ylabel=r'$\lambda$', zlabel='probability')

plt.show()