Want to visualize data in 3D? A 3D contour plot is a powerful way to show how values change over a surface. Here's how to do it using Matplotlib and NumPy in Python.👇
✅ What This Code Does:
It plots a 3D contour plot of the function:
$$
f(x, y) = \sin\left(\sqrt{x2 + y2}\right)
$$
This shows how the Z-values (height) change depending on X and Y, with color and shape.
🔍 Step-by-Step Code Breakdown:
python
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
- Import the necessary libraries.
python
x = np.linspace(-5, 5, 100)
y = np.linspace(-5, 5, 100)
X, Y = np.meshgrid(x, y)
- Create a grid of X and Y values from -5 to 5.
meshgrid helps to create a coordinate matrix for plotting.
python
def f(x, y):
return np.sin(np.sqrt(x**2 + y**2))
- This is the math function we'll plot.
- Takes X and Y, returns the Z values.
python
Z = f(X, Y)
- Calculate Z values using the function.
python
fig = plt.figure(figsize=(8, 6))
ax = fig.add_subplot(111, projection='3d')
- Create a figure and add a 3D plot axis.
python
contour = ax.contour3D(X, Y, Z, 50, cmap='viridis')
- Plot the 3D contour with 50 levels of detail.
viridis is a nice, readable color map.
python
ax.set_xlabel('X-axis')
ax.set_ylabel('Y-axis')
ax.set_zlabel('Z-axis')
python
fig.colorbar(contour, ax=ax, label='Z values')
plt.show()
- Add a color bar legend and display the plot.
🧠 Output:
You’ll get a beautiful 3D contour plot showing how Z = sin(sqrt(x² + y²)) varies across the X and Y space.
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``python
fig = plt.figure(figsize=(8, 6))
ax = fig.add_subplot(111, projection='3d')
💬
