

.. _sphx_glr_gallery_mplot3d_surface3d_radial.py:


=================================
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.




.. image:: /gallery/mplot3d/images/sphx_glr_surface3d_radial_001.png
    :align: center





.. code-block:: python


    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)



.. container:: sphx-glr-footer


  .. container:: sphx-glr-download

     :download:`Download Python source code: surface3d_radial.py <surface3d_radial.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: surface3d_radial.ipynb <surface3d_radial.ipynb>`

.. rst-class:: sphx-glr-signature

    `Generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_
