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Animated 3D random walk#
Output generated via matplotlib.animation.Animation.to_jshtml
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import matplotlib.pyplot as plt
import numpy as np
import matplotlib.animation as animation
# Fixing random state for reproducibility
np.random.seed(19680801)
def random_walk(num_steps, max_step=0.05):
"""Return a 3D random walk as (num_steps, 3) array."""
start_pos = np.random.random(3)
steps = np.random.uniform(-max_step, max_step, size=(num_steps, 3))
walk = start_pos + np.cumsum(steps, axis=0)
return walk
def update_lines(num, walks, lines):
for line, walk in zip(lines, walks):
line.set_data_3d(walk[:num, :].T)
return lines
# Data: 40 random walks as (num_steps, 3) arrays
num_steps = 30
walks = [random_walk(num_steps) for index in range(40)]
# Attaching 3D axis to the figure
fig = plt.figure()
ax = fig.add_subplot(projection="3d")
# Create lines initially without data
lines = [ax.plot([], [], [])[0] for _ in walks]
# Setting the Axes properties
ax.set(xlim3d=(0, 1), xlabel='X')
ax.set(ylim3d=(0, 1), ylabel='Y')
ax.set(zlim3d=(0, 1), zlabel='Z')
# Creating the Animation object
ani = animation.FuncAnimation(
fig, update_lines, num_steps, fargs=(walks, lines), interval=100)
plt.show()
Total running time of the script: (0 minutes 4.239 seconds)