3D axes with projection='3d' in Matplotlib

Introduction

We use 3D axes to show data in three dimensions. This helps us see relationships that are hard to understand in flat 2D charts.

When you want to visualize points or shapes in space, like stars or buildings.

When you have three variables and want to see how they relate together.

When you want to show a surface or a 3D curve.

When you want to explore data from different angles by rotating the view.

Syntax

Matplotlib

from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

The key part is projection='3d' which tells matplotlib to create 3D axes.

You need to import Axes3D from mpl_toolkits.mplot3d to enable 3D plotting.

Examples

Create a figure and add one 3D subplot.

Matplotlib

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

Create a bigger figure with 3D axes.

Matplotlib

fig = plt.figure(figsize=(8,6))
ax = fig.add_subplot(111, projection='3d')

Create two 3D plots side by side.

Matplotlib

fig = plt.figure()
ax1 = fig.add_subplot(121, projection='3d')
ax2 = fig.add_subplot(122, projection='3d')

Sample Program

This program creates a 3D surface plot of a wave pattern. It shows how to set up 3D axes and plot a surface using plot_surface.

Matplotlib

from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import numpy as np

# Create data
x = np.linspace(-5, 5, 50)
y = np.linspace(-5, 5, 50)
X, Y = np.meshgrid(x, y)
Z = np.sin(np.sqrt(X**2 + Y**2))

# Create figure and 3D axes
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

# Plot surface
surf = ax.plot_surface(X, Y, Z, cmap='viridis')

# Add labels
ax.set_xlabel('X axis')
ax.set_ylabel('Y axis')
ax.set_zlabel('Z axis')

# Show plot
plt.show()

Important Notes

3D plots can be rotated interactively in the plot window to see different angles.

Not all matplotlib plot types support 3D, so use functions like plot_surface, scatter, or plot on 3D axes.

Summary

Use projection='3d' to create 3D axes in matplotlib.

3D plots help visualize data with three variables or spatial shapes.

You can plot surfaces, scatter points, and lines in 3D.

Practice

1. What does setting projection='3d' do when creating axes in matplotlib?

easy

A. It creates a 3D plot area to visualize data in three dimensions.

B. It changes the plot color to 3D style automatically.

C. It enables animation features in the plot.

D. It exports the plot as a 3D model file.

Solution

1. Step 1: Understand the role of projection parameter

   The projection parameter in matplotlib axes defines the type of plot. Setting it to '3d' enables three-dimensional plotting.

2. Step 2: Identify the effect of projection='3d'

   This setting creates a 3D plot area where data can be visualized along x, y, and z axes.

3. Final Answer:

   It creates a 3D plot area to visualize data in three dimensions. -> Option A

4. Quick Check:

   projection='3d' = 3D plot area [OK]

Hint: projection='3d' means 3D plot space [OK]

Common Mistakes:

• Thinking it changes colors automatically
• Assuming it enables animation
• Believing it exports 3D files

2. Which of the following is the correct way to create a 3D axes object in matplotlib?

easy

A. ax = plt.axes3d()

B. ax = plt.subplot(111, projection='3d')

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

D. ax = plt.plot(projection='3d')

Solution

1. Step 1: Recall the syntax for 3D axes creation

   To create 3D axes, use plt.subplot() or plt.axes() with projection='3d'.

2. Step 2: Check each option

   ax = plt.subplot(111, projection='3d') is correct. The other options use incorrect functions or parameters.

3. Final Answer:

   ax = plt.subplot(111, projection='3d') -> Option B

4. Quick Check:

   Use subplot with projection='3d' = correct syntax [OK]

Hint: Use subplot or axes with projection='3d' [OK]

Common Mistakes:

• Using plt.plot() with projection
• Passing projection to plt.figure()
• Calling non-existent plt.axes3d()

3. What will the following code output?

import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter([1,2], [3,4], [5,6])
print(type(ax))

medium

A. <class 'matplotlib.axes._subplots.Axes3DSubplot'>

B. <class 'matplotlib.axes._axes.Axes'>

C. SyntaxError

D. RuntimeError

Solution

1. Step 1: Understand the code creating 3D axes

   The code creates a figure, then adds a 3D subplot with projection='3d'. This returns an Axes3DSubplot object.

2. Step 2: Check the printed type

   Printing type(ax) will show the class of the 3D axes object, which is Axes3DSubplot.

3. Final Answer:

   <class 'matplotlib.axes._subplots.Axes3DSubplot'> -> Option A

4. Quick Check:

   3D subplot type = Axes3DSubplot [OK]

Hint: 3D subplot returns Axes3DSubplot type [OK]

Common Mistakes:

• Expecting base Axes type
• Confusing syntax or runtime errors
• Not importing Axes3D

4. Identify the error in this code snippet:

import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(111)
ax = plt.axes(projection='3d')
ax.plot([1,2,3], [4,5,6], [7,8,9])
plt.show()

medium

A. Missing import of Axes3D causes error.

B. plot() does not accept three lists for 3D plotting.

C. Calling plt.axes() after fig.add_subplot() overwrites ax incorrectly.

D. plt.show() is missing parentheses.

Solution

1. Step 1: Analyze axes creation

   The code first creates ax with fig.add_subplot(111) (2D axes), then immediately overwrites ax with plt.axes(projection='3d'). This is confusing and may cause unexpected behavior.

2. Step 2: Understand the problem

   Overwriting ax without using the figure's subplot can cause the 3D axes to not be linked to the figure properly.

3. Final Answer:

   Calling plt.axes() after fig.add_subplot() overwrites ax incorrectly. -> Option C

4. Quick Check:

   Overwriting ax with plt.axes() causes confusion [OK]

Hint: Avoid overwriting axes objects; create 3D axes once [OK]

Common Mistakes:

• Forgetting to import Axes3D (not needed in recent matplotlib)
• Thinking plot() can't take 3 lists
• Missing plt.show() parentheses

5. You want to plot a 3D scatter plot with points colored by their z-value. Which code snippet correctly creates the 3D axes and colors the points accordingly?

hard

A. fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
z = [1, 2, 3]
ax.scatter([1,2,3], [4,5,6], z)
plt.show()

B. fig = plt.figure()
ax = plt.axes(projection='3d')
z = [1, 2, 3]
ax.scatter([1,2,3], [4,5,6], z, color='z')
plt.show()

C. fig = plt.figure()
ax = fig.add_subplot(111)
z = [1, 2, 3]
ax.scatter([1,2,3], [4,5,6], z, c=z)
plt.show()

D. fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
z = [1, 2, 3]
ax.scatter([1,2,3], [4,5,6], z, c=z, cmap='viridis')
plt.show()

Solution

1. Step 1: Create 3D axes correctly

   Use fig.add_subplot(111, projection='3d') to create 3D axes linked to the figure.

2. Step 2: Color points by z-value

   Pass c=z and a colormap like cmap='viridis' to scatter() to color points based on z.

3. Final Answer:

   fig = plt.figure() ax = fig.add_subplot(111, projection='3d') z = [1, 2, 3] ax.scatter([1,2,3], [4,5,6], z, c=z, cmap='viridis') plt.show() -> Option D

4. Quick Check:

   3D axes + c=z + cmap = fig = plt.figure() ax = fig.add_subplot(111, projection='3d') z = [1, 2, 3] ax.scatter([1,2,3], [4,5,6], z, c=z, cmap='viridis') plt.show() [OK]

Hint: Use c=z and cmap for coloring in 3D scatter [OK]

Common Mistakes:

• Using color='z' instead of c=z
• Creating 2D axes for 3D data
• Not specifying projection='3d'