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# 3D surface with polar coordinates

Demonstrates plotting a surface defined in polar coordinates. Uses the reversed version of the YlGnBu color map. Also demonstrates writing axis labels with latex math mode.

Example contributed by Armin Moser.

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

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

    # Create the mesh in polar coordinates and compute corresponding Z.
    r = np.linspace(0, 1.25, 50)
    p = np.linspace(0, 2*np.pi, 50)
    R, P = np.meshgrid(r, p)
    Z = ((R**2 - 1)**2)

    # Express the mesh in the cartesian system.
    X, Y = R*np.cos(P), R*np.sin(P)

    # Plot the surface.
    ax.plot_surface(X, Y, Z, cmap=plt.cm.YlGnBu_r)

    # Tweak the limits and add latex math labels.
    ax.set_zlim(0, 1)
    ax.set_xlabel(r'$\phi_\mathrm{real}$')
    ax.set_ylabel(r'$\phi_\mathrm{im}$')
    ax.set_zlabel(r'$V(\phi)$')

    plt.show()

Total running time of the script: ( 0 minutes 0.128 seconds)

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