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<div class="section" id="d-surface-with-polar-coordinates">
<span id="sphx-glr-gallery-mplot3d-surface3d-radial-py"></span><h1>3D surface with polar coordinates<a class="headerlink" href="#d-surface-with-polar-coordinates" title="Permalink to this headline">¶</a></h1>
<p>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.</p>
<p>Example contributed by Armin Moser.</p>
<img alt="../../_images/sphx_glr_surface3d_radial_001.png" class="align-center" src="../../_images/sphx_glr_surface3d_radial_001.png" />
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">mpl_toolkits.mplot3d</span> <span class="kn">import</span> <span class="n">Axes3D</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="kn">import</span> <span class="n">pyplot</span> <span class="k">as</span> <span class="n">plt</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="n">fig</span> <span class="o">=</span> <a href="../../api/_as_gen/matplotlib.figure.figaspect.html#matplotlib.figure" title="View documentation for matplotlib.pyplot.figure"><span class="n">plt</span><span class="o">.</span><span class="n">figure</span></a><span class="p">()</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">111</span><span class="p">,</span> <span class="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
<span class="c1"># Create the mesh in polar coordinates and compute corresponding Z.</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.25</span><span class="p">,</span> <span class="mi">50</span><span class="p">)</span>
<span class="n">p</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="mi">50</span><span class="p">)</span>
<span class="n">R</span><span class="p">,</span> <span class="n">P</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">meshgrid</span><span class="p">(</span><span class="n">r</span><span class="p">,</span> <span class="n">p</span><span class="p">)</span>
<span class="n">Z</span> <span class="o">=</span> <span class="p">((</span><span class="n">R</span><span class="o">**</span><span class="mi">2</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
<span class="c1"># Express the mesh in the cartesian system.</span>
<span class="n">X</span><span class="p">,</span> <span class="n">Y</span> <span class="o">=</span> <span class="n">R</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">P</span><span class="p">),</span> <span class="n">R</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">P</span><span class="p">)</span>
<span class="c1"># Plot the surface.</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot_surface</span><span class="p">(</span><span class="n">X</span><span class="p">,</span> <span class="n">Y</span><span class="p">,</span> <span class="n">Z</span><span class="p">,</span> <span class="n">cmap</span><span class="o">=</span><span class="n">plt</span><span class="o">.</span><span class="n">cm</span><span class="o">.</span><span class="n">YlGnBu_r</span><span class="p">)</span>
<span class="c1"># Tweak the limits and add latex math labels.</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_zlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_xlabel</span><span class="p">(</span><span class="s1">r'$\phi_\mathrm{real}$'</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_ylabel</span><span class="p">(</span><span class="s1">r'$\phi_\mathrm{im}$'</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_zlabel</span><span class="p">(</span><span class="s1">r'$V(\phi)$'</span><span class="p">)</span>
<a href="../../api/_as_gen/matplotlib.pyplot.show.html#matplotlib.pyplot.show" title="View documentation for matplotlib.pyplot.show"><span class="n">plt</span><span class="o">.</span><span class="n">show</span></a><span class="p">()</span>
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