How do you make 3D plots/visualizations using NumPy/SciPy?

Like 2D plotting, 3D graphics is beyond the scope of NumPy and SciPy, but just as in the 2D case, packages exist that integrate with NumPy. Matplotlib provides basic 3D plotting in the mplot3d subpackage, whereas Mayavi provides a wide range of high-quality 3D visualization features, utilizing the powerful VTK engine.

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    The most basic three-dimensional plot is a line or collection of scatter plot created from sets of (x, y, z) triples. In analogy with the more common two-dimensional plots discussed earlier, these can be created using the ax.plot3Dand ax.scatter3D functions. The call signature for these is nearly identical to that of their two-dimensional counterparts, so you can refer to Simple Line Plotsand Simple Scatter Plots for more information on controlling the output. Here we’ll plot a trigonometric spiral, along with some points drawn randomly near the line:

    In [4]:
    ax = plt.axes(projection='3d')
    
    # Data for a three-dimensional line
    zline = np.linspace(0, 15, 1000)
    xline = np.sin(zline)
    yline = np.cos(zline)
    ax.plot3D(xline, yline, zline, 'gray')
    
    # Data for three-dimensional scattered points
    zdata = 15 * np.random.random(100)
    xdata = np.sin(zdata) + 0.1 * np.random.randn(100)
    ydata = np.cos(zdata) + 0.1 * np.random.randn(100)
    ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');
    

    Notice that by default, the scatter points have their transparency adjusted to give a sense of depth on the page. While the three-dimensional effect is sometimes difficult to see within a static image, an interactive view can lead to some nice intuition about the layout of the points.

    Answered on March 27, 2019.
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